Publications

2024

  1. and . Normal trace inequalities and decay of solutions to the nonlinear Maxwell equations with absorbing boundary. J. Math. Anal. Appl., 532(1):127915, April . URL https://doi.org/10.1016/j.jmaa.2023.127915. [preprint] [bibtex]

  2. , , and . Tangential cone condition for the full waveform forward operator in the viscoelastic regime: the non-local case. SIAM J. Appl. Math., 84(2):412–432, April . URL https://doi.org/10.1137/23M1551845. [preprint] [bibtex]

  3. , , and . Electromagnetic scalar product in spatially bounded domains. Phys. Rev. A, 109(4):043506, April . URL https://doi.org/10.1103/PhysRevA.109.043506. [bibtex]

  4. . Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions. Found. Comput. Math., 48pp., February . URL https://doi.org/10.1007/s10208-024-09639-w. Online first. [preprint] [files] [bibtex]

  5. , , and . Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation. SIAM J. Math. Anal., 56(1):454–473, February . URL https://doi.org/10.1137/22M1504810. [preprint] [bibtex]

  6. , , , , , , , and . Two-step homogenization of spatiotemporal metasurfaces using an eigenmode-based approach. Opt. Mater. Express, 14(2):549–563, February . URL https://doi.org/10.1364/OME.509897. See supplement. [bibtex]

  7. and . The polychromatic T-matrix. J. Quant. Spectrosc. Radiat. Transf., 314:108853, February . URL https://doi.org/10.1016/j.jqsrt.2023.108853. [preprint] [bibtex]

  8. , , and . Low regularity well-posedness of KP-I equations: The three-dimensional case. J. Funct. Anal., 286(4):110292, February . URL https://doi.org/10.1016/j.jfa.2023.110292. [preprint] [bibtex]

  9. and . Differential effects of mechano-electric feedback mechanisms on whole-heart activation, repolarization, and tension. J. Physiol., 20pp., January . URL https://doi.org/10.1113/JP285022. Online first. [files] [bibtex]

  10. and . The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition. Inverse Problems, 40(1):015001, 23, January . URL https://doi.org/10.1088/1361-6420/ad0c92. [preprint] [bibtex]

2023

  1. , , and . Wellposedness for a $(1+1)$-dimensional wave equation with quasilinear boundary conditions. Nonlinearity, 36(12):6712–6746, December . URL https://doi.org/10.1088/1361-6544/ad03d0. [preprint] [bibtex]

  2. . Global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum. Z. Angew. Math. Phys., 74(6):Art. 194, 29, December . URL https://doi.org/10.1007/s00033-023-02089-4. Online first. [preprint] [bibtex]

  3. , , and . Rigorous envelope approximation for interface wave packets in Maxwell's equations with two dimensional localization. SIAM J. Math. Anal., 55(6):6898–6939, December . URL https://doi.org/10.1137/22M1501611. [preprint] [files] [bibtex]

  4. and . Breathers and rogue waves for semilinear curl-curl wave equations. J. Elliptic Parabol. Equ., 9(2):757–780, December . URL https://doi.org/10.1007/s41808-023-00215-x. [preprint] [bibtex]

  5. , , and . Breather solutions for a semilinear Klein–Gordon equation on a periodic metric graph. J. Math. Anal. Appl., 528(2):127520, December . URL https://doi.org/10.1016/j.jmaa.2023.127520. [preprint] [bibtex]

  6. . The Casimir–Polder effect for an approximate Pauli–Fierz model: the atom plus wall case. In M. Correggi and M. Falconi, editors, Quantum Mathematics II, volume 58 of Springer INdAM, pages 125–165, December . Springer Nature Singapore. [preprint] [bibtex]

  7. . Oscillatory integral operators with homogeneous phase functions. J. Anal. Math., 547–582, December . URL https://doi.org/10.1007/s11854-023-0320-1. Online first. [preprint] [bibtex]

  8. , , , , , and . On the physical significance of non-local material parameters in optical metamaterials. New J. Phys., 25:123014, December . URL https://doi.org/10.1088/1367-2630/ad1010. [files] [bibtex]

  9. and . Eigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation. SIAM J. Math. Anal., 55(6):7399–7425, December . URL https://doi.org/10.1137/23M1550232. [preprint] [bibtex]

  10. and . On variable viscosity and enhanced dissipation. Nonlinearity, 36(11):6071–6103, November . URL https://doi.org/10.1088/1361-6544/acfec0. [preprint] [bibtex]

  11. and . Analysis of a Peaceman–Rachford ADI scheme for Maxwell equations in heterogenous media. J. Math. Anal. Appl., 527(1, Part 1):127355, November . URL https://doi.org/10.1016/j.jmaa.2023.127355. [preprint] [bibtex]

  12. , , and . Seismic imaging with generalized Radon transforms: stability of the Bolker condition. Pure Appl. Math. Q, 19(4):1985–2036, November . URL https://doi.org/10.4310/PAMQ.2023.v19.n4.a11. [preprint] [files] [bibtex]

  13. and . Strichartz estimates for Maxwell equations in media: the structured case in two dimensionals. Arch. Math., 121:425–436, October . URL https://10.1007/s00013-023-01898-3. [preprint] [bibtex]

  14. and . A scalar product for computing fundamental quantities in matter. Symmetry, 15(10):1839, October . URL https://doi.org/10.3390/sym15101839. [preprint] [bibtex]

  15. , , and . On growth and instability for semilinear evolution equations: an abstract approach. Math. Ann., October . URL https://doi.org/10.1007/s00208-023-02733-4. Online first. [preprint] [bibtex]

  16. and . A robust way to justify the derivative NLS approximation. Z. Angew. Math. Phys., 74:224, 20pp., October . URL https://doi.org/10.1007/s00033-023-02121-7. [preprint] [bibtex]

  17. . On echo chains in the linearized Boussinesq equations around traveling waves. SIAM J. Math. Anal., 55(5):5127–5188, September . URL https://doi.org/10.1137/21M1458053. [preprint] [bibtex]

  18. and . On echoes in magnetohydrodynamics with magnetic dissipation. J. Differential Equations, 367:625–688, September . URL https://doi.org/10.1016/j.jde.2023.05.020. [preprint] [bibtex]

  19. , , , , , and . Numerical evaluation of elasto-mechanical and visco-elastic electro-mechanical models of the human heart. GAMM-Mitt., 46(3-4):e202370010, September . URL https://doi.org/10.1002/gamm.202370010. [bibtex]

  20. . On stability estimates for the inviscid Boussinesq equations. J. Nonlinear Sci., 33(6):106, 38, September . URL https://doi.org/10.1007/s00332-023-09958-2. [preprint] [bibtex]

  21. and . The Tomas–Stein inequality under the effect of symmetries. J. Anal. Math., 150(2):547–582, September . URL https://doi.org/10.1007/s11854-023-0282-3. [preprint] [bibtex]

  22. and . Solvability of the two-dimensional stationary incompressible inhomogeneous Navier–Stokes equations with variable viscosity coefficient. Commun. Contemp. Math., September . URL https://doi.org/10.1142/S0219199723500396. Online first. [bibtex]

  23. , , and . Maximum norm error bounds for the full discretization of nonautonomous wave equations. IMA J. Numer. Anal., drad065, September . URL https://doi.org/10.1093/imanum/drad065. [preprint] [files] [bibtex]

  24. , , and . On the van der Waals interaction between a molecule and a half-infinite plate. J. Math. Phys., 64(8):082103, 29pp., August . URL https://doi.org/10.1063/5.0117054. [preprint] [bibtex]

  25. and . Wellposedness and regularity for linear Maxwell equations with surface current. Z. Angew. Math. Phys., 74(4):131, August . URL https://doi.org/10.1007/s00033-023-02021-w. [preprint] [bibtex]

  26. , , , and . Bandwidth and conversion-efficiency analysis of Kerr soliton combs in dual-pumped resonators with anomalous dispersion. Phys. Rev. A, 108(2):023505, August . URL https://doi.org/10.1103/PhysRevA.108.023505. [preprint] [bibtex]

  27. , , and . Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide. Inverse Problems, 39(7):075009, July . URL https://doi.org/10.1088/1361-6420/acd4e0. [preprint] [files] [bibtex]

  28. , , , , and . Multiparameter 2-D viscoelastic full-waveform inversion of Rayleigh waves: a field experiment at Krauthausen test site. Geophys. J. Int., 234(1):297–312, July . URL https://doi.org/10.1093/gji/ggad072. [preprint] [bibtex]

  29. , , , and . Global continua of solutions to the Lugiato–Lefever model for frequency combs obtained by two-mode pumping. Z. Angew. Math. Phys., 74:168, 31pp., July . URL https://doi.org/10.1007/s00033-023-02060-3. [preprint] [files] [bibtex]

  30. , , and . Quantum systems at the brink: existence of bound states, critical potentials and dimensionality. Forum Math. Sigma, 11:e61, July . URL https://doi.org/10.1017/fms.2023.39. [preprint] [bibtex]

  31. and . Approximate inversion of a class of generalized Radon transforms. SIAM J. Imag. Sci., 16(2):842–866, June . URL https://doi.org/10.1137/22M1512417. [preprint] [files] [bibtex]

  32. , , and . Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction. SIAM J. Appl. Dyn. Syst., 22(2):1076–1113, June . URL https://doi.org/10.1137/22M1502902. [preprint] [bibtex]

  33. and . Strichartz estimates for equations with structured Lipschitz coefficients. J. Evol. Equ., 23(3):45, 34pp., June . URL https://doi.org/10.1007/s00028-023-00895-x. [preprint] [bibtex]

  34. . On the scattering of a plane wave by a perturbed open periodic waveguide. Math. Methods Appl. Sci., 46(9):5737–5773, June . URL https://doi.org/10.1002/mma.9147. [preprint] [bibtex]

  35. and . On the iterative regularization of non-linear illposed problems in $L^{\infty}$. Numer. Math., 154:209–247, June . URL https://doi.org/10.1007/s00211-022-01359-7. [preprint] [files] [bibtex]

  36. and . Conserved energies for the one dimensional Gross–Pitaevskii equation: Low regularity case. Adv. Math., 420:Paper No. 108996, May . URL https://doi.org/10.1016/j.aim.2023.108996. [preprint] [bibtex]

  37. and . Approximation of high-frequency wave propagation in dispersive media. SIAM J. Math. Anal., 55(2):1214–1245, April . URL https://doi.org/10.1137/22M1474035. [preprint] [bibtex]

  38. and . Scattering resonances in unbounded transmission problems with sign-changing coefficient. IMA J. Appl. Math., 88(2):215–257, April . URL https://doi.org/10.1093/imamat/hxad005. [preprint] [bibtex]

  39. and . On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation. BIT, 63:26, 28pp., April . URL https://doi.org/10.1007/s10543-023-00971-1. [preprint] [files] [bibtex]

  40. , , , and . On the nonlinear Dirichlet–Neumann method and preconditioner for Newton's method. In S. C. Brenner, A. Klawonn, F. Kwok, J. Xu, and J. Zou, editors, Domain Decomposition Methods in Science and Engineering XXVI, pages 381–389, Cham, March . Springer International Publishing. [preprint] [bibtex]

  41. , , , , , and . Wave Phenomena. Mathematical Analysis and Numerical Approximation, volume 49 of Oberwolfach Seminars. Birkhäuser Cham, March . [bibtex]

  42. and . Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media. Nonlinear Differ. Equ. Appl., 30(2):Art. 22, 38, March . URL https://doi.org/10.1007/s00030-022-00824-w. [preprint] [bibtex]

  43. . Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces. J. Math. Anal. Appl., 519(1):Paper No. 126748, March . URL https://doi.org/10.1016/j.jmaa.2022.126748. [preprint] [bibtex]

  44. and . Nonlinear wave equations with slowly decaying initial data. J. Differential Equations, 350:152–188, March . URL https://10.1016/j.jde.2022.12.022. [preprint] [bibtex]

  45. , , , , , and . Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology. Int. J. Numer. Method. Biomed. Engng., 39(2):e3666, February . URL https://doi.org/10.1002/cnm.3666. [preprint] [bibtex]

  46. and . Monotonicity in inverse scattering for Maxwell's equations. Inverse Prob. Imaging, 17(1):68–105, February . URL https://doi.org/10.3934/ipi.2022032. [preprint] [files] [bibtex]

  47. . Wellposedness of NLS in modulation spaces. J. Fourier Anal. Appl., 29:9, February . URL https://doi.org/10.1007/s00041-022-09985-9. [preprint] [bibtex]

  48. and . Symmetry of periodic waves for nonlocal dispersive equations. SIAM J. Math. Anal., 55(1):486–507, February . URL https://doi.org/10.1137/21M1433162. [preprint] [bibtex]

  49. , , , and . Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies. J. Comput. Phys., 475:Paper No. 111854, February . URL https://doi.org/10.1016/j.jcp.2022.111854. [preprint] [files] [bibtex]

  50. , , and . On the stability of robust dynamical low-rank approximations for hyperbolic problems. SIAM J. Sci. Comput., 45(1):A1–A24, February . URL https://doi.org/10.1137/21M1446289. [preprint] [files] [bibtex]

  51. , , , , , , and . A T-matrix based approach to homogenize artificial materials. Adv. Opt. Mater., 11(3):2201564, February . URL https://doi.org/10.1002/adom.202201564. [bibtex]

  52. and . KP-II approximation for a scalar Fermi–Pasta–Ulam system on a 2D square lattice. SIAM J. Appl. Math., 83(1):79–98, February . URL https://doi.org/10.1137/22M1509369. [preprint] [bibtex]

  53. , , and . Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. BIT, 63:9, 24pp., January . URL https://doi.org/10.1007/s10543-023-00942-6. Online first. [preprint] [files] [bibtex]

  54. , , and . Dynamical low-rank integrators for second-order matrix differential equations. BIT, 63:4, 21pp., January . URL https://doi.org/10.1007/s10543-023-00941-7. Online first. [preprint] [files] [bibtex]

  55. , , and . Optimal $W^{1,\infty}$-estimates for an isoparametric finite element discretization of elliptic boundary value problems. Electron. Trans. Numer. Anal., 58:1–21, January . URL https://doi.org/10.1553/etna_vol58s1. [preprint] [bibtex]

  56. , , and . Absence of positive eigenvalues of magnetic Schrödinger operators. Calc. Var. Partial Differ. Equ., 62:63, 66pp., January . URL https://doi.org/10.1007/s00526-022-02397-z. [preprint] [bibtex]

  57. , , , and . Cwikel's bound reloaded. Invent. math., 231(1):111–167, January . URL https://doi.org/10.1007/s00222-022-01144-7. [preprint] [bibtex]

  58. . Energy bounds for a fourth-order equation in low dimensions related to wave maps. Proc. Amer. Math. Soc., 151(1):225–237, January . URL https://doi.org/10.1090/proc/16100. [bibtex]

  59. , , and . FEM-BEM coupling for the Maxwell–Landau–Lifshitz–Gilbert equations via convolution quadrature: weak form and numerical approximation. Comput. Methods Appl. Math., 23(1):19–48, January . URL https://doi.org/10.1515/cmam-2022-0145. [preprint] [bibtex]

  60. , , , and . The impact of standard ablation strategies for atrial fibrillation on cardiovascular performance in a four-chamber heart model. Cardiovasc. Eng. Technol., 1–19, January . URL https://doi.org/10.1007/s13239-022-00651-1. Online first. [preprint] [bibtex]

2022

  1. and . A priori estimates for the derivative nonlinear Schrödinger equation. Funkc. Ekvacioj, 65(3):329–346, December . URL https://doi.org/10.1619/fesi.65.329. [preprint] [bibtex]

  2. , , and . A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 62(4):1149–1174, December . URL https://doi.org/10.1007/s10543-021-00907-7. [preprint] [bibtex]

  3. , , , , , , , , and . The reverse mode of the Na$^+$/Ca$^{2+}$ exchanger contributes to the pacemaker mechanism in rabbit sinus node cells. Sci. Rep., 12(1):21830, December . URL https://doi.org/10.1038/s41598-022-25574-8. [bibtex]

  4. , , , , , and . Modeling four-dimensional metamaterials: a T-matrix approach to describe time-varying metasurfaces. Opt. Express, 30(25):45832–45847, December . URL https://doi.org/10.1364/OE.476035. [preprint] [files] [bibtex]

  5. , , and . Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. J. Sci. Comput., 94:27, December . URL https://doi.org/10.1007/s10915-022-02076-3. Online first. [preprint] [files] [bibtex]

  6. , , , , , , , , , , and . Floquet–Mie theory for time-varying dispersive spheres. Laser Photonics Rev., 2100683, December . URL https://doi.org/10.1002/lpor.202100683. Online first. [bibtex]

  7. and . A multilevel stochastic collocation method for Schrödinger equations with a random potential. SIAM/ASA J. Uncertain. Quantif., 10(4):1753–1780, December . URL https://doi.org/10.1137/21M1440517. [preprint] [files] [bibtex]

  8. . A simple variational approach to nonlinear Maxwell equations. CRC 1173 Preprint 2022/82, Karlsruhe Institute of Technology, December . [bibtex]

  9. , , and . Traveling waves for a quasilinear wave equation. Nonlinear Anal., 225:113115, December . URL https://doi.org/10.1016/j.na.2022.113115. [preprint] [bibtex]

  10. , , and . Spectral enclosures for the damped elastic wave equation. Math. Eng., 4(6):Paper No. 052, 10, November . URL https://doi.org/10.3934/mine.2022052. [preprint] [bibtex]

  11. and . Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Commun. Math. Sci., 20(8):2265–2313, November . URL https://doi.org/10.4310/CMS.2022.v20.n8.a6. [preprint] [bibtex]

  12. and . Biharmonic nonlinear scalar field equations. Int. Math. Res. Not. IMRN, rnac303, November . URL https://doi.org/10.1093/imrn/rnac303. [preprint] [bibtex]

  13. and . A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. ESAIM: Math. Model. Numer. Anal., 1–27, November . URL https://doi.org/10.1051/m2an/2022090. Online first. [preprint] [files] [bibtex]

  14. , , , and . Characterization of the pace-and-drive capacity of the human sinoatrial node: a 3D in silico study. Biophys. J., 121(22):4247–4259, November . URL https://doi.org/10.1016/j.bpj.2022.10.020. [files] [bibtex]

  15. , , , and . Van der Waals–London interaction of atoms with pseudo-relativistic kinetic energy. Anal. PDE, 15(6):1375–1428, November . URL https://doi.org/10.2140/apde.2022.15.1375. [preprint] [bibtex]

  16. , , and . Inverse medium scattering for a nonlinear Helmholtz equation. J. Math. Anal. Appl., 515(1):126356, November . URL https://doi.org/10.1016/j.jmaa.2022.126356. [preprint] [files] [bibtex]

  17. . Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media. J. Evol. Equ., 22(4):90–135, November . URL https://doi.org/10.1007/s00028-022-00850-2. [preprint] [bibtex]

  18. and . Error analysis of multirate leapfrog-type methods for second-order semilinear ODEs. SIAM J. Numer. Anal., 60(5):2897–2924, October . URL https://doi.org/10.1137/21M1427255. [preprint] [files] [bibtex]

  19. , , , , , , , , , , , , and . Transformation-optics modeling of 3D-printed freeform waveguides. Opt. Express, 30(21):38856–38879, October . URL https://doi.org/10.1364/OE.452243. [bibtex]

  20. . A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions. Numer. Math., 152:907–936, October . URL https://doi.org/10.1007/s00211-022-01326-8. [preprint] [files] [bibtex]

  21. . High order complex contour discretization methods to simulate scattering problems in locally perturbed periodic waveguides. SIAM J. Sci. Comput., 44(5):B1257–B1281, October . URL https://doi.org/10.1137/21M1421532. [preprint] [bibtex]

  22. and . Global wellposedness of NLS in $H^1(\Bbb R)+H^s(\Bbb T)$. J. Math. Anal. Appl., 514(2):Paper No. 126359, 14, October . URL https://doi.org/10.1016/j.jmaa.2022.126359. [preprint] [bibtex]

  23. and . Numerical upscaling for wave equations with time-dependent multiscale coefficients. Multiscale Model. Simul., 20(4):1169–1190, October . URL https://doi.org/10.1137/21M1438244. [preprint] [files] [bibtex]

  24. and . On quasilinear Maxwell equations in two dimensions. Pure Appl. Anal., 4(2):313–365, October . URL https://doi.org/10.2140/paa.2022.4.313. [preprint] [bibtex]

  25. and . Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. Commun. Pure Appl. Anal., 21(9):2873–2889, September . URL https://doi.org/10.3934/cpaa.2022079. [preprint] [bibtex]

  26. and . The factorization method and Capon’s method for random source identification in experimental aeroacoustics. Inverse Problems, 38(11):115004, September . URL https://doi.org/10.1088/1361-6420/ac90e4. [preprint] [bibtex]

  27. , , , and . Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning. Numer. Algor., 91(1):81–107, September . URL https://doi.org/10.1007/s11075-022-01255-5. [preprint] [bibtex]

  28. , , and . Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds. Stoch. PDE: Anal. Comp., 10(3):828–857, September . URL https://doi.org/10.1007/s40072-022-00238-w. [preprint] [bibtex]

  29. , , , and . Non-homogeneous Gagliardo–Nirenberg inequalities $\mathbb{R}^N$ and application to a biharmonic non-linear Schrödinger equation. J. Differential Equations, 330:1–65, September . URL https://doi.org/10.1016/j.jde.2022.04.037. [preprint] [bibtex]

  30. . Bounds on eigenvalues of perturbed Lamé operators with complex potentials. Math. Eng., 4(5):Paper No. 037, 29, September . URL https://doi.org/10.3934/mine.2022037. [preprint] [bibtex]

  31. , , and . The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. J. Dyn. Diff. Equat., 34(3):2201–2227, September . URL https://doi.org/10.1007/s10884-021-09943-x. [preprint] [bibtex]

  32. . Inf-sup stability implies quasi-orthogonality. Math. Comp., 91(337):2059–2094, September . URL https://doi.org/10.1090/mcom/3748. [bibtex]

  33. and . Error analysis for space discretizations of quasilinear wave-type equations. IMA J. Numer. Anal., 42(3):1963–1990, July . URL https://doi.org/10.1093/imanum/drab073. [preprint] [files] [bibtex]

  34. and . Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 91(336):1687–1709, July . URL https://doi.org/10.1090/mcom/3736. [preprint] [files] [bibtex]

  35. and . Multiscale scattering in nonlinear Kerr-type media. Math. Comp., 91(336):1655–1685, July . URL https://doi.org/10.1090/mcom/3722. [preprint] [bibtex]

  36. , , , , , , , , , and . Toward maximally electromagnetically chiral scatterers at optical frequencies. ACS Photonics, 9(6):1954–1964, June . URL https://doi.org/10.1021/acsphotonics.1c01887. [bibtex]

  37. , , , and . A realizable filtered intrusive polynomial moment method. J. Computat. Appl. Math., 407:114055, June . URL https://doi.org/10.1016/j.cam.2021.114055. [preprint] [files] [bibtex]

  38. . The heterogeneous multiscale method for dispersive Maxwell systems. Multiscale Model. Simul., 20(2):769–797, June . URL https://doi.org/10.1137/21M1443960. [preprint] [bibtex]

  39. and . Interchanging space and time in nonlinear optics modeling and dispersion management models. J. Nonlinear Sci., 32(3):29, 39, June . URL https://doi.org/10.1007/s00332-022-09788-8. [bibtex]

  40. and . Exponential integrators for quasilinear wave-type equations. SIAM J. Numer. Anal., 60(3):1472–1493, June . URL https://doi.org/10.1137/21M1410579. [preprint] [files] [bibtex]

  41. and . Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces. Ann. Henri Poincaré, 23(5):1831–1882, May . URL https://doi.org/10.1007/s00023-021-01144-y. [preprint] [files] [bibtex]

  42. , , and . Nonlinear Helmholtz equations with sign-changing diffusion coefficient. C. R. Math., 360:513–538, May . URL https://doi.org/10.5802/crmath.322. [preprint] [bibtex]

  43. , , , , , and . Dyssynchronous left ventricular activation is insufficient for the breakdown of wringing rotation. Front. Physiol., 13:838038, May . URL https://doi.org/10.3389/fphar.2022.838038. [bibtex]

  44. . The optical helicity in a more algebraic approach to electromagnetism. Photoniques, 113(1):54–58, May . URL https://doi.org/10.1051/photon/202111354. [bibtex]

  45. . Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. IMA J. Numer. Anal., drac010, May . URL https://doi.org/10.1093/imanum/drac010. [preprint] [bibtex]

  46. . Interpolation of a regular subspace complementing the span of a radially singular function. Studia Math., 265(2):197–210, May . URL https://doi.org/10.4064/sm210621-12-8. [preprint] [bibtex]

  47. . Exponential convergence of perfectly matched layers for scattering problems with periodic surfaces. SIAM J. Num. Anal., 60(2):804–823, April . URL https://doi.org/10.1137/21M1439043. [preprint] [bibtex]

  48. . Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., 42(2):1313–1338, April . URL https://doi.org/10.1093/imanum/drab004. [preprint] [files] [bibtex]

  49. , , and . Time-dependent electromagnetic scattering from thin layers. Numer. Math., 150(4):1123–1164, April . URL https://doi.org/10.1007/s00211-022-01277-0. [preprint] [files] [bibtex]

  50. . Ground states for Maxwell's equations in nonlocal nonlinear media. Partial Differ. Equ. Appl., 3(2):22, 16pp., April . URL https://doi.org/10.1007/s42985-022-00159-2. [preprint] [files] [bibtex]

  51. , , and . Improved Hardy–Rellich inequalities. Commun. Pure Appl. Anal., 21(3):867–889, March . URL https://doi.org/10.3934/cpaa.2022002. [preprint] [bibtex]

  52. . On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. J. Funct. Anal., 282(15):109352, March . URL https://doi.org/10.1016/j.jfa.2021.109352. [preprint] [bibtex]

  53. and . Global Strichartz estimates for an inhomogeneous Maxwell system. Commun. Partial Differ. Equ., 47(3):630–675, March . URL https://doi.org/10.1080/03605302.2021.1998910. [preprint] [bibtex]

  54. and . Multidimensional measures of electromagnetic chirality and their conformal invariance. New J. Phys., 24:033022, March . URL https://doi.org/10.1088/1367-2630/ac57e8. [preprint] [bibtex]

  55. , , , and . Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 12(5):1–21, March . URL https://doi.org/10.1615/Int.J.UncertaintyQuantification.2022039345. [preprint] [files] [bibtex]

  56. and . An unconventional robust integrator for dynamical low-rank approximation. BIT, 62(1):23–44, March . URL https://doi.org/10.1007/s10543-021-00873-0. [preprint] [bibtex]

  57. and . Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Numer. Math., 150(3):893–927, March . URL https://doi.org/10.1007/s00211-021-01262-z. [preprint] [files] [bibtex]

  58. and . An offline-online strategy for multiscale problems with random defects. ESAIM: Math. Model. Numer. Anal., 56(1):237–260, March . URL https://doi.org/10.1051/m2an/2022006. [preprint] [files] [bibtex]

  59. . Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. J. Math. Anal. Appl., 506(1):125646, February . URL https://doi.org/10.1016/j.jmaa.2021.125646. [preprint] [bibtex]

  60. . Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case. J. Fourier Anal. Appl., 28(2):16, February . URL https://doi.org/10.1007/s00041-022-09912-y. [preprint] [bibtex]

  61. and . Breather solutions for a quasi-linear $(1+1)$-dimensional wave equation. Stud. Appl. Math., 148(2):689–714, February . URL https://doi.org/10.1111/sapm.12455. [preprint] [bibtex]

  62. . A scattering problem for a local pertubation of an open periodic waveguide. Math. Methods Appl. Sci., 45(10):5737–5773, February . URL https://doi.org/10.1002/mma.8137. [preprint] [bibtex]

  63. , , and . Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. IMA J. Numer. Anal., 42(1):1–26, January . URL https://doi.org/10.1093/imanum/draa091. [preprint] [bibtex]

  64. and . Least energy solutions to a cooperative system of Schrödinger equations with prescribed $L^2$-bounds: at least $L^2$-critical growth. Calc. Var. Partial Differential Equations, 61(1):Paper No. 10, 31, January . URL https://doi.org/10.1007/s00526-021-02116-0. [preprint] [bibtex]

  65. , , and . Non-Newtonian two-phase thin-film problem: local existence, uniqueness, and stability. Comm. Partial Differential Equations, 47(1):197–232, January . URL https://doi.org/10.1080/03605302.2021.1957929. [preprint] [bibtex]

2021

  1. , , , and . Der Kodex „Leitlinien zur Sicherung guter wissenschaftlicher Praxis“ der DFG. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):239–242, December . URL https://doi.org/10.1515/dmvm-2021-0085. [bibtex]

  2. and . A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. J. Funct. Anal., 281(11):109233, December . URL https://doi.org/10.1016/j.jfa.2021.109233. [preprint] [bibtex]

  3. and . A quasi–Monte Carlo data compression algorithm for machine learning. J. Complexity, 67:Paper No. 101587, 25, December . URL https://doi.org/10.1016/j.jco.2021.101587. [bibtex]

  4. , , , and . Multiparameter viscoelastic full-waveform inversion of shallow-seismic surface waves with a pre-conditioned truncated Newton method. Geophys. J. Int., 227(3):2044–2057, December . URL https://doi.org/10.1093/gji/ggab311. [preprint] [bibtex]

  5. and . Low regularity well-posedness for generalized Benjamin–Ono equations on the circle. J. Hyperbolic Differ. Equ., 18(4):931–984, December . URL https://doi.org/10.1142/S0219891621500272. [preprint] [bibtex]

  6. and . Erfahrungen bei den Lernbrücken in Karlsruhe 2021. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):234–235, December . URL https://doi.org/10.1515/dmvm-2021-0083. [bibtex]

  7. , , and . The absence of the Efimov effect in systems of one- and two-dimensional particles. J. Math. Phys., 62(12):123502, 46, December . URL https://doi.org/10.1063/5.0033524. [preprint] [bibtex]

  8. , , , and . Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. SIAM J. Numer. Anal., 19(4):1857–1884, December . URL https://doi.org/10.1137/21M1416801. [preprint] [files] [bibtex]

  9. , , and . Unconditional uniqueness of higher order nonlinear Schrödinger equations. Czechoslovak Math. J., 71(3):709–742, October . URL https://doi.org/10.21136/CMJ.2021.0078-20. [preprint] [bibtex]

  10. , , and . Eigenvalue bounds and spectral stability of Lamé operators with complex potentials. J. Differential Equations, 298:528–559, October . URL https://doi.org/10.1016/j.jde.2021.07.017. [preprint] [bibtex]

  11. . On a priori estimates and existence of periodic solutions to the modified Benjamin–Ono equation below $H^{1/2}(\mathbb{T})$. J. Differ. Equ., 299:111–153, October . URL https://doi.org/10.1016/j.jde.2021.07.019. [bibtex]

  12. and . Co-dimension one stable blowup for the supercritical cubic wave equation. Adv. Math., 390:107930, October . URL https://doi.org/10.1016/j.aim.2021.107930. [preprint] [bibtex]

  13. , , and . Artificial neural networks used to retrieve effective properties of metamaterials. Opt. Express, 29(22):36072–36085, October . URL https://doi.org/10.1364/OE.427778. [bibtex]

  14. , , , , and . Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Phys. Let. A, 412(19):127570, October . URL https://doi.org/10.1016/j.physleta.2021.127570. [preprint] [bibtex]

  15. , , , , , and . Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver. Comput. Math. Appl., 100:126–140, October . URL https://doi.org/10.1016/j.camwa.2021.09.001. [preprint] [bibtex]

  16. and . A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. Arch. Ration. Mech. Anal., 241(3):1815–1842, September . URL https://doi.org/10.1007/s00205-021-01684-x. [preprint] [bibtex]

  17. , , and . Maximizing the electromagnetic chirality of thin dielectric tubes. SIAM J. Appl. Math., 81(5):1979–2006, September . URL https://doi.org/10.1137/21M1393509. [preprint] [bibtex]

  18. and . On the global wellposedness of the Klein–Gordon equation for initial data in modulation spaces. Proc. Amer. Math. Soc., 149(9):3849–3861, September . URL https://doi.org/10.1090/proc/15497. [preprint] [bibtex]

  19. and . Convergence of adaptive stochastic collocation with finite elements. Comput. Math. Appl., 98:139–156, September . URL https://doi.org/10.1016/j.camwa.2021.07.001. [preprint] [bibtex]

  20. and . Recurrent neural networks as optimal mesh refinement strategies. Comput. Math. Appl., 97:61–76, September . URL https://doi.org/10.1016/j.camwa.2021.05.018. [preprint] [bibtex]

  21. . Numerical methods for scattering problems in periodic waveguides. Numer. Math., 148(4):959–996, August . URL https://doi.org/10.1007/s00211-021-01229-0. [preprint] [bibtex]

  22. and . Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. Inverse Problems, 37(8):085011, 17, July . URL https://doi.org/10.1088/1361-6420/ac11c5. [preprint] [bibtex]

  23. , , and . Nonlinear scalar field equation with competing nonlocal terms. Nonlinearity, 34(8):5687–5707, July . URL https://doi.org/10.1088/1361-6544/ac0d47. [preprint] [bibtex]

  24. , , , , , and . Causes of altered ventricular mechanics in hypertrophic cardiomyopathy: an in-silico study. BioMed. Eng. OnLine, 20:69, July . URL https://doi.org/10.1186/s12938-021-00900-9. [bibtex]

  25. . Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law. Nonlinearity, 34(8):5538–5575, July . URL https://doi.org/10.1088/1361-6544/abd612. [bibtex]

  26. , , and . Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity. Calc. Var. Partial Differ. Equ., 60:133, 13pp., June . URL https://doi.org/10.1007/s00526-021-02006-5. [preprint] [bibtex]

  27. and . Variational methods for breather solutions of nonlinear wave equations. Nonlinearity, 34(6):3618–3640, June . URL https://doi.org/10.1088/1361-6544/abed38. [preprint] [bibtex]

  28. , , , and . On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. Nonlinearity, 34(7):4844–4896, June . URL https://doi.org/10.1088/1361-6544/abfca9. [preprint] [bibtex]

  29. . On the Boussinesq equations with non-monotone temperature profiles. J. Nonlinear Sci., 31(4):64, 38, May . URL https://doi.org/10.1007/s00332-021-09723-3. [preprint] [bibtex]

  30. , , and . Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 387:112494, May . URL https://doi.org/10.1016/j.cam.2019.112494. [preprint] [bibtex]

  31. , , and . An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Multiscale Model. Simul., 19(2):846–885, May . URL https://doi.org/10.1137/20M1369907. [preprint] [bibtex]

  32. , , , , , and . Lower limits for the homogenization of periodic metamaterials made from electric dipolar scatterers. Phys. Rev. B, 103(19):195425, May . URL https://doi.org/10.1103/PhysRevB.103.195425. [preprint] [bibtex]

  33. , , and . Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation. In W. E. Nagel, D. H. Kröner, and M. M. Resch, editors, High Performance Computing in Science and Engineering '19, pages 589–599, May . Springer, Cham. [preprint] [bibtex]

  34. . An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. Math. Methods Appl. Sci., 44(8):6377–6388, May . URL https://doi.org/10.1002/mma.7190. [preprint] [bibtex]

  35. , , , , , , , , , and . Electro-mechanical whole-heart digital twins: A fully coupled multi-physics approach. Mathematics, 9(11):1247, May . URL https://doi.org/10.3390/math9111247. [bibtex]

  36. , , , and . Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Math. Comp., 90(329):995–1038, May . URL https://doi.org/10.1090/mcom/3597. [preprint] [bibtex]

  37. , , , and . The Lieb–Thirring inequality revisited. J. Eur. Math. Soc., 23(8):2583–2600, April . URL https://doi.org/10.4171/JEMS/1062. [preprint] [bibtex]

  38. and . An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Numer. Math., 147(4):869–899, April . URL https://doi.org/10.1007/s00211-021-01184-w. [preprint] [files] [bibtex]

  39. . General class of optimal Sobolev inequalities and nonlinear scalar field equations. J. Differ. Equ., 281:411–441, April . URL https://doi.org/10.1016/j.jde.2021.02.015. [preprint] [bibtex]

  40. and . Asymptotic preserving trigonometric integrators for the quantum Zakharov system. BIT, 61(1):61–81, March . URL https://doi.org/10.1007/s10543-020-00815-2. [preprint] [bibtex]

  41. and . Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Evol. Equ. Control Theory, 10(1):155–198, March . URL https://doi.org/10.3934/eect.2020061. [preprint] [bibtex]

  42. . A uniqueness result for the sine-Gordon breather. SN Partial Differ. Equ. Appl., 2:26, 8pp., March . URL https://doi.org/10.1007/s42985-021-00084-w. [preprint] [bibtex]

  43. , , and . On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. SN Partial Differ. Equ. Appl., 2(2):23, 27pp., March . URL https://doi.org/10.1007/s42985-020-00045-9. [preprint] [files] [bibtex]

  44. , , , , , , , , , , , and . Cycle length statistics during human atrial fibrillation reveal refractory properties of the underlying substrate – a combined in silico and clinical test of concept study. EP Europace, 23(Supplement_1):i133–i142, March . URL https://doi.org/10.1093/europace/euaa404. [bibtex]

  45. and . Waves of maximal height for a class of nonlocal equations with homogeneous symbols. Indiana Univ. Math. J., 70(2):711–742, March . URL https://doi.org/10.1512/iumj.2021.70.8368. [preprint] [bibtex]

  46. and . A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., 19(1):374–400, February . URL https://doi.org/10.1137/20M1338290. [preprint] [files] [bibtex]

  47. . Spectrum decomposition of translation operators in periodic waveguide. SIAM J. Appl. Math., 81(1):233–257, February . URL https://doi.org/10.1137/19M1290942. [bibtex]

  48. , , , and . On the asymptotic dynamics of 2-D magnetic quantum systems. Ann. Henri Poincaré, 22(2):415–445, February . URL https://doi.org/10.1007/s00023-020-01012-1. [preprint] [bibtex]

  49. , , and . Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February . URL https://doi.org/10.1137/20M1321838. [preprint] [bibtex]

  50. . Total helicity of electromagnetic fields and matter. Phys. Rev. B, 103(5):054406, February . URL https://doi.org/10.1103/PhysRevB.103.054406. [preprint] [bibtex]

  51. and . An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. Math. Ann., 379(1):865–907, February . URL https://doi.org/10.1007/s00208-020-02093-3. [preprint] [bibtex]

  52. , , and . The taut string approach to statistical inverse problems: theory and applications. J. Computat. Appl. Math., 382:113098, January . URL https://doi.org/10.1016/j.cam.2020.113098. [preprint] [files] [bibtex]

  53. , , , and . Bayesian optimization with improved scalability and derivative information for efficient design of nanophotonic structures. J. Light. Technol., 39(1):167–177, January . URL https://doi.org/10.1109/JLT.2020.3023450. [bibtex]

  54. , , , and . On the global well-posedness of the quadratic NLS on $L^2(\mathbb{R})+H^1(\mathbb{T})$. Nonlinear Differ. Equ. Appl., 28(2):11–28, January . URL https://doi.org/10.1007/s00030-020-00670-8. [preprint] [bibtex]

  55. and . The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 63(1):45–53, January . URL https://doi.org/10.1017/S0017089519000491. [preprint] [bibtex]

  56. and . The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 81:391–406, January . URL https://doi.org/10.1016/j.camwa.2020.03.004. [preprint] [bibtex]

  57. and . Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1:638–728, January . URL https://doi.org/10.1093/imanum/drz073. [preprint] [bibtex]

  58. , , and . Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 147(4):997–1000, 4 . URL https://doi.org/10.1007/s00211-021-01196-6. [bibtex]

  59. . The Zakharov limit of Klein–Gordon–Zakharov like systems in case of analytic solutions. Appl. Anal., 100(12):2659–2667, . URL https://doi.org/10.1080/00036811.2019.1695785. [bibtex]

2020

  1. and . Application of the second domain derivative in inverse electromagnetic scattering. Inverse Problems, 36(12):125002, 34, December . URL https://doi.org/10.1088/1361-6420/abaa31. [preprint] [bibtex]

  2. , , , , , and . On enhanced sensing of chiral molecules in optical cavities. Appl. Phys. Rev., 7(4):041413, December . URL https://doi.org/10.1063/5.0025006. [bibtex]

  3. , , , and . Imaging with the elliptic Radon transform in three dimensions from an analytical and numerical perspective. SIAM J. Imag. Sci., 13(4):2250–2280, December . URL https://doi.org/10.1137/20M1332657. [preprint] [bibtex]

  4. . A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl., 492(1):124442, December . URL https://doi.org/10.1016/j.jmaa.2020.124442. [preprint] [bibtex]

  5. , , , and . Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 32(4):1867–1899, December . URL https://doi.org/10.1007/s10884-019-09791-w. [preprint] [bibtex]

  6. . Breather solutions of the cubic Klein–Gordon equation. Nonlinearity, 33(12):7140–7166, December . URL https://doi.org/10.1088/1361-6544/abb78b. [preprint] [bibtex]

  7. , , and . Modulation equations near the Eckhaus boundary: The KdV equation. SIAM J. Math. Anal., 52(6):5389–5421, November . URL https://doi.org/10.1137/19M1266873. [preprint] [bibtex]

  8. , , and . A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys., 421:109735, 18, November . URL https://doi.org/10.1016/j.jcp.2020.109735. [bibtex]

  9. and . Sparse compression of expected solution operators. SIAM J. Numer. Anal., 58(6):3144–3164, November . URL https://doi.org/10.1137/20M132571X. [preprint] [bibtex]

  10. , , and . Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials. SIAM J. Math. Anal., 55(5):4425–4444, October . URL https://doi.org/10.1137/22M1494786. [preprint] [bibtex]

  11. W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors. Mathematics of Wave Phenomena, Trends in Mathematics, October . Birkhäuser Basel. [bibtex]

  12. and . Soliton solutions for the Lugiato–Lefever equation by analytical and numerical continuation methods. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 179–195, October . Birkhäuser Basel. [bibtex]

  13. , , and . Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Comm. Math. Phys., 379(2):633–691, October . URL https://doi.org/10.1007/s00220-020-03853-7. [preprint] [bibtex]

  14. , , and . Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 37–48, October . Birkhäuser Basel. [bibtex]

  15. , , and . Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 40(4):2143–2162, October . URL https://doi.org/10.1093/imanum/drz050. [preprint] [bibtex]

  16. and . Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 197–218, October . Birkhäuser Basel. [bibtex]

  17. , , , and . Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $M^s_{p,q}(\mathbb{R}^d)\cap M_{\infty,1}(\mathbb{R}^d)$. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 89–107, October . Birkhäuser Basel. [bibtex]

  18. and . Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Proc. Lond. Math. Soc. (3), 121(3):584–616, September . URL https://doi.org/10.1112/plms.12327. [preprint] [bibtex]

  19. , , and . Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. Inverse Problems, 35(10):105007, September . URL https://doi.org/10.1088/1361-6420/abb5e2. [preprint] [bibtex]

  20. , , and . Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers. J. Math. Anal. Appl., 489(1):124141, September . URL https://doi.org/10.1016/j.jmaa.2020.124141. [preprint] [bibtex]

  21. , , , , and . Consequences of using an orthotropic stress tensor for left ventricular systole. In 2020 Computing in Cardiology (CinC), pages 1–4, Rimini, Italy, September . [bibtex]

  22. and . Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Electron. Trans. Numer. Anal., 53:522–540, August . URL https://doi.org/10.1553/etna_vol53s522. [preprint] [bibtex]

  23. and . On the comparison of asymptotic expansion techniques for the nonlinear Klein–Gordon equation in the nonrelativistic limit regime. Discrete Contin. Dyn. Syst. Ser. B, 25(8):2841–2865, August . URL https://doi.org/10.3934/dcdsb.2020043. [preprint] [bibtex]

  24. and . Monotonicity in inverse obstacle scattering on unbounded domains. Inverse Problems, 36(8):085014, August . URL https://doi.org/10.1088/1361-6420/ab98a3. [preprint] [files] [bibtex]

  25. , , and . On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August . URL https://doi.org/10.1137/18M1209453. [preprint] [bibtex]

  26. , , and . 2D multiparameter viscoelastic shallow-seismic full-waveform inversion: reconstruction tests and first field-data application. Geophys. J. Int., 222(1):560–571, July . URL https://doi.org/10.1093/gji/ggaa198. [preprint] [bibtex]

  27. , , and . On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 145(3):553–580, July . URL https://doi.org/10.1007/s00211-020-01120-4. [preprint] [bibtex]

  28. and . Random objective waveform inversion of surface waves. Geophysics, 85(4):1JA–Z18, July . URL https://doi.org/10.1190/GEO2019-0613.1. [bibtex]

  29. , , , and . Equilibrium measures and equilibrium potentials in the Born–Infeld model. J. Math. Pures Appl., 139:35–62, July . URL https://doi.org/10.1016/j.matpur.2020.05.001. [preprint] [bibtex]

  30. and . Inverse design of nanophotonic devices with structural integrity. ACS Photonics, 7(8):2190–2196, July . URL https://doi.org/10.1021/acsphotonics.0c00699. [bibtex]

  31. . The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. Nonlinear Differ. Equ. Appl., 27:40, July . URL https://doi.org/10.1007/s00030-020-00642-y. [preprint] [bibtex]

  32. and . On a thin film model with insoluble surfactant. J. Differ. Equ., 268(12):7582–7608, June . URL https://doi.org/10.1016/j.jde.2019.11.080. [preprint] [bibtex]

  33. , , and . Space-time discontinuous Galerkin methods for linear hyperbolic systems and the application to the forward problem in seismic imaging. In R. Klöfkorn, E. Keilegavlen, F. A. Radu, and J. Fuhrmann, editors, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020, volume 323 of Springer Proceedings in Mathematics & Statistics, pages 447–485, June . Springer, Cham. [bibtex]

  34. . Well-posedness and stability for a mixed order system arising in thin film equations with surfactant. Math. Nachr., 293(5):879–892, May . URL https://doi.org/mana.201900010. [preprint] [bibtex]

  35. and . Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 236(2):505–576, May . URL https://doi.org/10.1007/s00205-019-01475-5. [preprint] [bibtex]

  36. . Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Pure Appl. Anal., 2(2):519–532, May . URL https://doi.org/10.2140/paa.2020.2.519. [preprint] [bibtex]

  37. , , , , and . Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May . URL https://doi.org/10.1103/PhysRevB.101.195411. [preprint] [bibtex]

  38. and . Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. ZAMM Z. Angew. Math. Mech., 100(6):e201900230, April . URL https://doi.org/10.1002/zamm.201900230. [preprint] [bibtex]

  39. , , and . A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(4):787–809, April . URL https://doi.org/10.1007/s00211-020-01105-3. [preprint] [bibtex]

  40. , , , , and . The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April . URL https://doi.org/10.3389/fphar.2020.00516. [bibtex]

  41. , , , , , and . Performance of chip-scale optical frequency comb generators in coherent WDM communications. Opt. Express, 28(9):12897–12910, April . URL https://doi.org/10.1364/OE.380413. [bibtex]

  42. . The KdV approximation for a system with unstable resonances. Math. Methods Appl. Sci., 43(6):3185–3199, April . URL https://doi.org/10.1002/mma.6110. [preprint] [bibtex]

  43. , , and . Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 236(1):253–288, April . URL https://doi.org/10.1007/s00205-019-01469-3. [preprint] [bibtex]

  44. , , and . Threshold for blowup for the supercritical cubic wave equation. Nonlinearity, 33(5):2143–2158, March . URL https://doi.org/10.1088/1361-6544/ab6f4d. [preprint] [bibtex]

  45. and . Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. Comm. Partial Differential Equations, 45(8):887–912, March . URL https://doi.org/10.1080/03605302.2020.1743308. [preprint] [bibtex]

  46. , , and . Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 8(1):1–53, March . URL https://doi.org/10.1007/s40072-019-00141-x. [preprint] [bibtex]

  47. and . Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(3):699–728, March . URL https://doi.org/10.1007/s00211-019-01093-z. [preprint] [bibtex]

  48. , , , and . Biharmonic wave maps: local wellposedness in high regularity. Nonlinearity, 33(5):2270–2305, March . URL https://doi.org/10.1088/1361-6544/ab73ce. [preprint] [bibtex]

  49. , , , , , , , , and . Mapping and removing the ventricular far field component in unipolar atrial electrograms. IEEE Trans. Biomed. Eng., 67(10):2905–2915, February . URL https://doi.org/10.1109/TBME.2020.2973471. [bibtex]

  50. and . Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 144(2):323–346, February . URL https://doi.org/10.1007/s00211-019-01085-z. [preprint] [bibtex]

  51. , , , , , , and . Superconducting-nanowire single-photon spectrometer exploiting cascaded photonic crystal cavities. Phys. Rev. Applied, 13(1):014061, January . URL https://doi.org/10.1103/PhysRevApplied.13.014061. [preprint] [bibtex]

  52. and . On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. Int. Math. Res. Not. IMRN, rnz389, January . URL https://doi.org/10.1093/imrn/rnz389. [preprint] [bibtex]

  53. and . Boundary stabilization of quasilinear Maxwell equations. J. Differential Equations, 268(2):784–812, January . URL https://doi.org/10.1016/j.jde.2019.08.032. [preprint] [bibtex]

  54. and . Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January . URL https://doi.org/10.1515/anona-2020-0040. [preprint] [bibtex]

  55. and . Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 60(3):591–614, January . URL https://doi.org/10.1007/s10543-019-00799-8. [preprint] [bibtex]

  56. , , , , , , , , , , , , , and . Novel Na${}^{+}$/Ca${}^{2+}$ exchanger inhibitor ORM-10962 supports coupled function of funny-current and Na${}^{+}$/Ca${}^{2+}$ exchanger in pacemaking of rabbit sinus node tissue. Front. Pharmacol., 10:1632, January . URL https://doi.org/10.3389/fphar.2019.01632. [bibtex]

  57. . A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, January . URL https://doi.org/10.1088/1361-6420/ab5819. [preprint] [bibtex]

  58. , , , , , , , , , , , , , , , , , , and . Hybrid multi-chip assembly of optical communication engines by in situ 3D nano-lithography. Light Sci. Appl., 9:71, . URL https://doi.org/10.1038/s41377-020-0272-5. [bibtex]

  59. and . The monoatomic FPU system as a limit of a diatomic FPU system. Appl. Math. Lett., 107:106387, 8, . URL https://doi.org/10.1016/j.aml.2020.106387. [bibtex]

2019

  1. , , and . A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numer. Math., 143(4):797–853, December . URL https://doi.org/10.1007/s00211-019-01074-2. [bibtex]

  2. , , and . Exponential decay of quasilinear Maxwell equations with interior conductivity. Nonlinear Differ. Equ. Appl., 26(6):Paper No. 51, December . URL https://doi.org/10.1007/s00030-019-0595-1. [preprint] [bibtex]

  3. and . Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. SIAM J. Appl. Math., 79(6):2639–2662, December . URL https://doi.org/10.1137/19M1269403. See corrigendum. [preprint] [bibtex]

  4. , , , , , , , , , , , and . Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., 117(12):2244–2254, December . URL https://doi.org/10.1016/j.bpj.2019.07.037. [bibtex]

  5. , , and . On a Kelvin–Voigt viscoelastic wave equation with strong delay. SIAM J. Math. Anal., 51(6):4382–4412, November . URL https://doi.org/10.1137/18M1219308. [preprint] [bibtex]

  6. , , and . A model for the periodic water wave problem and its long wave amplitude equations. In D. Henry, K. Kalimeris, E. I. Părău, J.-M. Vanden-Broeck, and E. Wahlén, editors, Nonlinear Water Waves. Tutorials, Schools, and Workshops in the Mathematical Sciences, pages 123–138. Birkhäuser, Cham, November . [preprint] [bibtex]

  7. . A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November . URL https://doi.org/10.3390/sym11111427. [bibtex]

  8. , , , , , and . Inter-species differences in the response of sinus node cellular pacemaking to changes of extracellular calcium. In 41st Annual International Conference, pages 1875–1878, October . IEEE Engineering in Medicine and Biology Society (EMBC), IEEE. [bibtex]

  9. and . Near-field imaging of locally perturbed periodic surfaces. Inverse Problems, 35(11):114003, October . URL https://doi.org/10.1088/1361-6420/ab2e8f. [preprint] [bibtex]

  10. , , and . Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October . URL https://doi.org/10.1137/18M1234072. [preprint] [bibtex]

  11. and . Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October . URL https://doi.org/10.1093/imanum/dry045. [preprint] [bibtex]

  12. , , and . Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September . URL https://doi.org/10.1016/j.na.2019.02.019. [preprint] [bibtex]

  13. , , , and . Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September . URL https://doi.org/10.1007/s00028-019-00501-z. [preprint] [bibtex]

  14. , , , and . Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of Radon Series on Computational and Applied Mathematics, chapter 2, pages 61–88. De Gruyter, Berlin/Boston, September . [preprint] [bibtex]

  15. , , , , , and . Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September . URL https://doi.org/10.1103/PhysRevA.100.033819. [preprint] [bibtex]

  16. , , , and . Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September . URL https://doi.org/10.1137/19M1249679. [preprint] [bibtex]

  17. and . A space-time discontinuous Petrov–Galerkin method for acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of Radon Series on Computational and Applied Mathematics, chapter 3, pages 89–116. De Gruyter, Berlin/Boston, September . [preprint] [bibtex]

  18. , , and . Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August . URL https://doi.org/10.1007/s00440-018-0882-5. [preprint] [bibtex]

  19. . NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August . URL https://doi.org/10.1007/s00041-018-09655-9. [preprint] [bibtex]

  20. . Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August . URL https://doi.org/10.1515/ans-2019-2050. [preprint] [bibtex]

  21. , , , and . Homogenization of wire media with a general purpose nonlocal constitutive relation. J. Opt. Soc. Am. B, 36(8):F99–F108, August . URL https://doi.org/10.1364/JOSAB.36.000F99. [bibtex]

  22. , , and . Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August . URL https://doi.org/10.1090/proc/14744. [preprint] [bibtex]

  23. and . Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay. J. Math. Anal. Appl., 475(1):278–312, July . URL https://doi.org/10.1016/j.jmaa.2019.02.042. [preprint] [bibtex]

  24. , , and . Improved efficiency of a multi-index FEM for computational uncertainty quantification. SIAM J. Numer. Anal., 57(4):1744–1769, July . URL https://doi.org/10.1137/18M1193700. [preprint] [bibtex]

  25. , , , and . Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July . URL https://doi.org/10.1088/1361-6420/ab10cb. [preprint] [bibtex]

  26. and . Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July . URL https://doi.org/10.1515/cmam-2018-0190. [preprint] [bibtex]

  27. , , and . Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July . URL https://doi.org/10.1093/imanum/dry036. [preprint] [bibtex]

  28. and . Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July . URL https://doi.org/10.1093/imanum/dry033. [preprint] [bibtex]

  29. . Numerical approximation of planar oblique derivative problems in nondivergence form. Math. Comp., 88(317):1091–1119, July . URL https://doi.org/10.1090/mcom/3371. [preprint] [bibtex]

  30. . Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June . URL https://doi.org/10.12775/TMNA.2019.025. [preprint] [bibtex]

  31. and . Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June . URL https://doi.org/10.1137/18M122844X. [preprint] [bibtex]

  32. , , , , , , , , , and . Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June . URL https://doi.org/10.1364/OE.27.017402. [bibtex]

  33. . The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June . URL https://doi.org/10.1007/s00220-019-03363-1. [preprint] [bibtex]

  34. . Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June . URL https://doi.org/10.1007/s00233-019-10016-1. [preprint] [bibtex]

  35. , , and . On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June . URL https://doi.org/10.1112/jlms.12196. [preprint] [bibtex]

  36. , , and . Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May . URL https://doi.org/10.1137/18M1203377. [preprint] [bibtex]

  37. and . Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May . URL https://doi.org/10.1090/mcom/3365. [preprint] [bibtex]

  38. . Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differential Equations, 266(8):5012–5063, April . URL https://doi.org/10.1016/j.jde.2018.10.019. [preprint] [bibtex]

  39. and . Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March . URL https://doi.org/10.1088/1361-6544/aaf59d. [preprint] [bibtex]

  40. , , , , and . Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March . URL https://doi.org/10.1090/mcom/3339. [preprint] [bibtex]

  41. , , and . High-resolution characterization of near-surface structures by surface-wave inversions: From dispersion curve to full waveform. Surv. Geophys., 40(2):167–195, March . URL https://doi.org/10.1007/s10712-019-09508-0. [preprint] [bibtex]

  42. and . Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February . URL https://doi.org/10.1016/j.aml.2018.08.021. [bibtex]

  43. , , and . Comparison of acoustic and elastic full-waveform inversion of 2D towed-streamer data in the presence of salt. Geophys. Prospect., 67(2):349–361, February . URL https://doi.org/10.1111/1365-2478.12728. [bibtex]

  44. and . Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes. SIAM J. Numer. Anal., 57(1):429–457, February . URL https://doi.org/10.1137/18M1177184. [preprint] [bibtex]

  45. . Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February . URL https://doi.org/10.1007/s11118-018-9683-9. [preprint] [bibtex]

  46. , , , and . Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February . URL https://doi.org/10.1103/PhysRevB.99.075401. [preprint] [bibtex]

  47. , , , and . Observation guided systematic reduction of a detailed human ventricular cell model. In 2019 Computing in Cardiology (CinC), volume 46, pages 1–4, February . [bibtex]

  48. and . Parallel inelastic heterogeneous multi-scale simulations. In S. Diebels and S. Rjasanow, editors, Multi-scale simulation of composite materials — Results from the project MuSiKo, pages 57–96. Springer, Berlin, February . [bibtex]

  49. . Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January . URL https://doi.org/10.1090/mcom/3327. [preprint] [bibtex]

  50. , , and . Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January . URL https://doi.org/10.1093/gji/ggy432. [bibtex]

  51. , , , , , , and . Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January . URL https://doi.org/10.3389/fphys.2018.01910. [bibtex]

  52. . An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January . URL https://doi.org/10.1093/imanum/drx064. [preprint] [bibtex]

  53. , , , and . Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January . URL https://doi.org/10.1103/PhysRevB.99.035442. [bibtex]

  54. , , and . Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January . URL https://doi.org/10.1002/adom.201800783. [bibtex]

  55. and . On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type problems. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, volume 126 of Lecture Notes in Computational Science and Engineering, pages 135–144, January . Springer International Publishing. [preprint] [bibtex]

2018

  1. and . Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December . URL https://doi.org/10.1112/blms.12212. [preprint] [bibtex]

  2. , , , and . Estimating S-wave velocities from 3D 9-component shallow seismic data using local Rayleigh-wave dispersion curves – A field study. J. Appl. Geophys., 159:532–539, December . URL https://doi.org/10.1016/j.jappgeo.2018.09.037. [bibtex]

  3. and . Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November . URL https://doi.org/10.3233/asy-181480. [preprint] [bibtex]

  4. , , , and . Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November . URL https://doi.org/10.1007/s00220-018-3263-0. [preprint] [bibtex]

  5. and . Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November . URL https://doi.org/10.3934/dcds.2018248. [preprint] [bibtex]

  6. , , , and . Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November . URL https://doi.org/10.1088/1361-6420/aadc2a. [preprint] [bibtex]

  7. , , , , , , and . Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November . URL https://doi.org/10.1093/europace/euy231. [bibtex]

  8. , , and . Runge–Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Found. Comput. Math., 18(5):1109–1130, October . URL https://doi.org/10.1007/s10208-017-9364-x. [bibtex]

  9. , , , , , and . Automatic identification of reentry mechanisms and critical sites during atrial tachycardia by analyzing areas of activity. IEEE Trans. Biomed. Eng., 65(10):2334–2344, October . URL https://doi.org/10.1109/TBME.2018.2794321. [bibtex]

  10. , , , and . Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differential Equations, 265(8):3311–3338, October . URL https://doi.org/10.1016/j.jde.2017.08.028. [preprint] [bibtex]

  11. , , , , , , , and . A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September . URL https://doi.org/10.3389/fphys.2018.01251. [bibtex]

  12. , , , , , and . Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September . URL https://doi.org/10.1103/PhysRevB.98.115409. [bibtex]

  13. . The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September . URL https://doi.org/10.1007/s00028-018-0433-7. [preprint] [bibtex]

  14. . Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September . URL https://doi.org/10.1007/s00028-018-0448-0. [preprint] [bibtex]

  15. , , , , , , , , and . Novel electrocardiographic criteria for real-time assessment of anterior mitral line block: “V1 Jump” and “V1 Delay”. JACC Clin. Electrophysiol., 4(7):920–932, July . URL https://doi.org/10.1016/j.jacep.2018.03.007. [bibtex]

  16. , , , , , , , , , , , , and . Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July . URL https://doi.org/10.1364/optica.5.000876. [bibtex]

  17. and . A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Math. Methods Appl. Sci., 41(10):3955–3975, July . URL https://doi.org/10.1002/mma.4879. [preprint] [bibtex]

  18. and . Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June . URL https://doi.org/10.1007/s10208-017-9352-1. [preprint] [bibtex]

  19. and . Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June . URL https://doi.org/10.1007/s00209-017-1957-1. [bibtex]

  20. , , and . Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June . URL https://doi.org/10.1137/16M108286X. [preprint] [bibtex]

  21. , , , , , , , and . Fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory. J. Opt. Soc. Am. A, 35(6):1063–1073, June . URL https://doi.org/10.1364/JOSAA.35.001063. [bibtex]

  22. and . A splitting approach for freezing waves. In C. Klingenberg and M. Westdickenberg, editors, Theory, numerics and applications of hyperbolic problems. I, volume 236 of Springer Proc. Math. Stat., pages 539–550. Springer, Cham, June . [preprint] [bibtex]

  23. , , , , , , and . Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May . URL https://doi.org/10.1364/OPTICA.5.000658. [bibtex]

  24. , , and . Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May . URL https://doi.org/10.1090/mcom/3263. [preprint] [bibtex]

  25. , , and . Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April . URL https://doi.org/10.1137/17M1121925. [preprint] [bibtex]

  26. and . Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April . URL https://doi.org/10.1007/s00211-017-0926-2. [preprint] [bibtex]

  27. , , , , , , , , , , , , and . In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April . URL https://doi.org/10.1038/s41566-018-0133-4. [bibtex]

  28. , , and . Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March . URL https://doi.org/10.1007/s00211-017-0914-6. [preprint] [bibtex]

  29. and . Dual variational methods for a nonlinear Helmholtz system. Nonlinear Differ. Equ. Appl., 25(2):Art. 13, 26, March . URL https://doi.org/10.1007/s00030-018-0504-z. [preprint] [bibtex]

  30. , , and . Asymptotic consistent exponential-type integrators for Klein–Gordon–Schrödinger systems from relativistic to non-relativistic regimes. Electron. Trans. Numer. Anal., 48:63–80, March . URL https://doi.org/10.1553/etna_vol48s63. [bibtex]

  31. , , and . Blow-up for nonlinear Maxwell equations. Electron. J. Differ. Equ., Paper No. 73, 9, March . URL https://ejde.math.txstate.edu/Volumes/2018/73/abstr.html. [preprint] [bibtex]

  32. and . Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numer. Math., 138(2):365–388, February . URL https://doi.org/10.1007/s00211-017-0909-3. [preprint] [bibtex]

  33. , , , , and . Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February . URL https://doi.org/10.7153/oam-2019-13-21. [preprint] [bibtex]

  34. , , , , , , , , , , , , and . Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February . URL https://doi.org/10.1126/science.aao3924. [bibtex]

  35. , , , and . Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Inverse Problems, 34(1):014002, 25, January . URL https://doi.org/10.1088/1361-6420/aa9900. [preprint] [bibtex]

  36. , , , and . The definition and measurement of electromagnetic chirality. Math. Methods Appl. Sci., 41(2):559–572, January . URL https://doi.org/10.1002/mma.4628. [preprint] [bibtex]

  37. and . The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, January . URL https://doi.org/10.1137/17M1118920. [preprint] [bibtex]

  38. , , , , and . Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. IMA J. Numer. Anal., 38(1):57–74, January . URL https://doi.org/10.1093/imanum/drx007. [preprint] [bibtex]

2017

  1. , , , and . Analysis in Banach spaces. Vol. II, volume 67 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]. Springer, Cham, December . Probabilistic methods and operator theory. [bibtex]

  2. and . Commentary: Virtual in-silico modeling gided catheter ablation predicts effective linear ablation lesion set for longstanding persistent atrial fibrillation: Multicenter prospective randomized study. Front. Physiol., 8:1113, December . URL https://doi.org/10.3389/fphys.2017.01113. [bibtex]

  3. , , , and . Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye–Yukawa type interaction. Kinet. Relat. Models, 10(4):901–924, December . URL https://doi.org/10.3934/krm.2017036. [preprint] [bibtex]

  4. and . Finite element heterogeneous multiscale method for time-dependent Maxwell's equations. In M. L. Bittencourt, N. A. Dumont, and J. S. Hesthaven, editors, Spectral and high order methods for partial differential equations—ICOSAHOM 2016, volume 119 of Lect. Notes Comput. Sci. Eng., pages 269–281. Springer, Cham, November . [preprint] [bibtex]

  5. . Freezing similarity solutions in the multi-dimensional Burgers equation. Nonlinearity, 30(12):4558–4586, November . URL https://doi.org/10.1088/1361-6544/aa89d5. [preprint] [bibtex]

  6. , , and . Strang splitting for a semilinear Schrödinger equation with damping and forcing. J. Math. Anal. Appl., 455(2):1051–1071, November . URL https://doi.org/10.1016/j.jmaa.2017.06.004. [preprint] [bibtex]

  7. and . Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October . URL https://doi.org/10.1093/imanum/drw059. [preprint] [bibtex]

  8. , , and . Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. J. Math. Phys., 58(10):101513, 43, October . URL https://doi.org/10.1063/1.5004253. [preprint] [bibtex]

  9. , , and . Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October . URL https://doi.org/10.1007/s00033-017-0859-8. [preprint] [bibtex]

  10. , , , and . On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space $M_{p,q}(\Bbb R)$. J. Differential Equations, 263(8):4429–4441, October . URL https://doi.org/10.1016/j.jde.2017.04.020. [preprint] [bibtex]

  11. and . Spectrum of a singularly perturbed periodic thin waveguide. J. Math. Anal. Appl., 454(2):673–694, October . URL https://doi.org/10.1016/j.jmaa.2017.05.012. [preprint] [bibtex]

  12. , , , and . Dispersion managed solitons in the presence of saturated nonlinearity. Phys. D, 356-357:65–69, October . URL https://doi.org/10.1016/j.physd.2017.06.004. [preprint] [bibtex]

  13. and . Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. Z. Anal. Anwend., 36(4):419–435, October . URL https://doi.org/10.4171/ZAA/1595. [preprint] [bibtex]

  14. , , and . Stable foliations near a traveling front for reaction diffusion systems. Discrete Contin. Dyn. Syst. Ser. B, 22(8):3145–3165, October . URL https://doi.org/10.3934/dcdsb.2017168. [preprint] [bibtex]

  15. and . Multilevel local time-stepping methods of Runge–Kutta-type for wave equations. SIAM J. Sci. Comput., 39(5):A2020–A2048, September . URL https://doi.org/10.1137/16M1084407. [preprint] [bibtex]

  16. and . Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 137(1):91–117, September . URL https://doi.org/10.1007/s00211-017-0868-8. [preprint] [bibtex]

  17. , , and . Derivation of the Hartree equation for compound Bose gases in the mean field limit. Rev. Math. Phys., 29(7):1750022, 28, August . URL https://doi.org/10.1142/S0129055X17500222. [preprint] [bibtex]

  18. , , , and . Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules. Arch. Ration. Mech. Anal., 225(2):601–661, August . URL https://doi.org/10.1007/s00205-017-1101-8. [preprint] [bibtex]

  19. and . An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August . URL https://doi.org/10.1007/s00211-016-0859-1. [preprint] [bibtex]

  20. and . Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. Discrete Contin. Dyn. Syst., 37(7):3721–3747, July . URL https://doi.org/10.3934/dcds.2017158. [preprint] [bibtex]

  21. , , , , , , , , , , , , , , and . Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546:274–279, June . URL https://doi.org/10.1038/nature22387. [bibtex]

  22. and . Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math., 316:247–259, May . URL https://doi.org/10.1016/j.cam.2016.07.007. Selected Papers from NUMDIFF-14. [preprint] [bibtex]

  23. , , , , , , , , , , , and . Ultrafast dual-comb distance metrology using dissipative Kerr solitons. In Conference on Lasers and Electro-Optics, STh4L.6, May . Optical Society of America. [bibtex]

  24. , , and . On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations. Comput. Math. Appl., 73(9):1900–1919, May . URL https://doi.org/10.1016/j.camwa.2017.02.043. [preprint] [bibtex]

  25. , , , , , , , , , and . Subwavelength focusing of Bloch surface waves. ACS Photonics, 4(6):1477–1483, May . URL https://doi.org/10.1021/acsphotonics.7b00245. [bibtex]

  26. , , and . Thresholds for existence of dispersion management solitons for general nonlinearities. SIAM J. Math. Anal., 49(2):1519–1569, April . URL https://doi.org/10.1137/15M103666X. [bibtex]

  27. and . New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. J. Evol. Equ., 17(1):387–409, March . URL https://doi.org/10.1007/s00028-016-0360-4. [preprint] [bibtex]

  28. , , , and . Computing the T-matrix of a scattering object with multiple plane wave illuminations. Beilstein J. Nanotechnol., 8:614–626, March . URL https://doi.org/10.3762/bjnano.8.66. [bibtex]

  29. and . A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation. SIAM J. Appl. Math., 77(1):315–345, February . URL https://doi.org/10.1137/16M1066221. [preprint] [bibtex]

  30. , , and . Freezing traveling and rotating waves in second order evolution equations. In P. Gurevich, J. Hell, B. Sandstede, and A. Scheel, editors, Patterns of dynamics, volume 205 of Springer Proc. Math. Stat., pages 215–241. Springer, Cham, February . [preprint] [bibtex]

  31. and . Multidimensional thermoelasticity for nonsimple materials—well-posedness and long-time behavior. Appl. Anal., 96(9):1561–1585, February . URL https://doi.org/10.1080/00036811.2017.1295447. [preprint] [bibtex]

  32. and . Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February . URL https://doi.org/10.1007/s00211-016-0810-5. [preprint] [bibtex]

  33. and . Numerical analysis of parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., 37(1):1–39, January . URL https://doi.org/10.1093/imanum/drw015. [preprint] [bibtex]

2016

  1. and . A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. J. Math. Phys., 57(12):122108, 8, December . URL https://doi.org/10.1063/1.4968820. [preprint] [bibtex]

  2. , , and . From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December . URL https://doi.org/10.1002/mma.3922. [preprint] [bibtex]

  3. , , , , , , and . Hybrid 2D/3D photonic integration for non-planar circuit topologies. In European Conference on Optical Communication (ECOC), pages 707–709, December . [bibtex]

  4. , , , , , , , , , and . 34.6 Tbit/s WDM transmission using soliton Kerr frequency combs as optical source and local oscillator. In European Conference on Optical Communication (ECOC), pages 415–417, December . [bibtex]

  5. , , , and . Transverse multipolar light-matter couplings in evanescent waves. Phys. Rev. A, 94(5):053822, November . URL https://doi.org/10.1103/PhysRevA.94.053822. [preprint] [bibtex]

  6. , , and . Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. J. Math. Anal. Appl., 442(2):740–760, October . URL https://doi.org/10.1016/j.jmaa.2016.05.014. [preprint] [bibtex]

  7. , , , , , , , , , , and . Cavity-enhanced and ultrafast superconducting single-photon detectors. Nano Lett., 16(11):7085–7092, October . URL https://doi.org/10.1021/acs.nanolett.6b03344. [bibtex]

  8. , , , and . Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration. Appl. Phys. Lett., 109(14):141102, October . URL https://doi.org/10.1063/1.4963862. [preprint] [bibtex]

  9. , , , and . Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Nonlinear Differ. Equ. Appl., 23(5):Art. 52, 34, October . URL https://doi.org/10.1007/s00030-016-0403-0. [preprint] [bibtex]

  10. and . Error analysis of a second-order locally implicit method for linear Maxwell's equations. SIAM J. Numer. Anal., 54(5):3167–3191, October . URL https://doi.org/10.1137/15M1038037. [preprint] [bibtex]

  11. , , , , and . Optical force and torque on dipolar dual chiral particles. Phys. Rev. B, 94(12):125123, September . URL https://doi.org/10.1103/PhysRevB.94.125123. [preprint] [bibtex]

  12. , , and . Long-term analysis of semilinear wave equations with slowly varying wave speed. Comm. Partial Differential Equations, 41(12):1934–1959, September . URL https://doi.org/10.1080/03605302.2016.1235581. [preprint] [bibtex]

  13. and . Paley–Littlewood decomposition for sectorial operators and interpolation spaces. Math. Nachr., 289(11-12):1488–1525, August . URL https://doi.org/10.1002/mana.201400223. [preprint] [bibtex]

  14. , , and . Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409–428, July . URL https://doi.org/10.1515/cmam-2016-0015. [preprint] [bibtex]

  15. , , , , , , , , , , , , , and . 50 Tbit/s massively parallel WDM transmission in C and L band using interleaved cavity-soliton Kerr combs. In Conference on Lasers and Electro-Optics, STu1G.1, June . [preprint] [bibtex]

  16. and . Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June . URL https://doi.org/10.1088/0266-5611/32/8/085001. [preprint] [bibtex]

  17. and . On a parabolic-hyperbolic filter for multicolor image noise reduction. Evol. Equ. Control Theory, 5(2):251–272, June . URL https://doi.org/10.3934/eect.2016004. [preprint] [bibtex]

  18. and . Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Asymptotic Anal., 98(1-2):91–130, May . URL https://doi.org/10.3233/ASY-161363. [preprint] [bibtex]

  19. and . A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. J. Elliptic Parabol. Equ., 2(1):371–387, April . URL https://doi.org/10.1007/BF03377410. [preprint] [bibtex]

  20. and . Three-dimensional viscoelastic time-domain finite-difference seismic modelling using the staggered Adams–Bashforth time integrator. Geophys. J. Int., 204(3):1781–1788, March . URL https://doi.org/10.1093/gji/ggv546. [bibtex]

  21. , , , and . Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. J. Phys. A, 49(16):165302, 19, March . URL https://doi.org/10.1088/1751-8113/49/16/165302. [preprint] [bibtex]

  22. , , , , , , , , , and . Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy. Opt. Express, 24(4):4128–4142, February . URL https://doi.org/10.1364/OE.24.004128. [preprint] [bibtex]

  23. , , , , , , , , and . Parameter estimation of ion current formulations requires hybrid optimization approach to be both accurate and reliable. Front. Bioeng. Biotechnol., 3:209, January . URL https://doi.org/10.3389/fbioe.2015.00209. [bibtex]

2015

  1. , , , and . Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, December . URL https://doi.org/10.1364/OE.23.033044. [preprint] [bibtex]