Publications

2025

  1. , , and . On boundedness of isomerization paths for non- and semirelativistic molecules. J. Funct. Anal., 288(3):110713, 81pp., February . URL https://doi.org/10.1016/j.jfa.2024.110713. [preprint] [bibtex]

2024

  1. , , , , and . Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials. Anal. PDE, 17(10):3371–3446, November . URL https://doi.org/10.2140/apde.2024.17.3371. [preprint] [bibtex]

  2. , , and . A high-order numerical method for solving non-periodic scattering problems in three-dimensional bi-periodic structures. ZAMM Z. Angew. Math. Mech., 104(9):e202300650, September . URL https://doi.org/10.1002/zamm.202300650. [preprint] [files] [bibtex]

  3. , , and . A microlocal and visual comparison of 2D Kirchhoff migration formulas in seismic imaging. Inverse Problems, 40(11):115001 (29pp), September . URL https://doi.org/10.1088/1361-6420/ad797b. [preprint] [files] [bibtex]

  4. and . Solvability of the two-dimensional stationary incompressible inhomogeneous Navier–Stokes equations with variable viscosity coefficient. Commun. Contemp. Math., 26(7):2350039, September . URL https://doi.org/10.1142/S0219199723500396. [bibtex]

  5. , , and . On growth and instability for semilinear evolution equations: an abstract approach. Math. Ann., 389(4):3885–3933, August . URL https://doi.org/10.1007/s00208-023-02733-4. [preprint] [bibtex]

  6. . Überarbeitung der DFG-Denkschrift "Sicherung guter wissenschaftlicher Praxis". WissR, 57(1):13–21, August . URL https://doi.org/10.1628/wissr-2024-0004. [bibtex]

  7. , , and . Maximum norm error bounds for the full discretization of nonautonomous wave equations. IMA J. Numer. Anal., 44(4):2480–2512, July . URL https://doi.org/10.1093/imanum/drad065. [preprint] [files] [bibtex]

  8. , , , and . Variational Gaussian approximation for the magnetic Schrödinger equation. J. Phys. A: Math. Theor., 57(29):295202, July . URL https://doi.org/10.1088/1751-8121/ad591e. [preprint] [bibtex]

  9. and . Error bounds for discrete minimizers of the Ginzburg–Landau energy in the high-$\kappa$ regime. SIAM J. Numer. Anal., 62(3):1313–1343, June . URL https://doi.org/10.1137/23M1560938. [preprint] [files] [bibtex]

  10. . Stability of solitary wave solutions in the Lugiato–Lefever equation. Z. Angew. Math. Phys., 75:130, 19pp., June . URL https://doi.org/10.1007/s00033-024-02273-0. [preprint] [bibtex]

  11. , , and . Pinning in the extended Lugiato–Lefever equation. SIAM J. Math. Anal., 56(3):3679–3702, June . URL https://doi.org/10.1137/23M1550700. [preprint] [files] [bibtex]

  12. and . Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations. Math. Comp., 1–31, April . URL https://doi.org/10.1090/mcom/3952. Online first. [preprint] [files] [bibtex]

  13. 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]

  14. , , 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]

  15. , , 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]

  16. . 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]

  17. , , 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]

  18. , , , , , , , 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]

  19. 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]

  20. , , 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]

  21. 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]

  22. 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 . 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]

  2. . 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]

  3. 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]

  4. . 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]

  5. , , 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]

  6. , , 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]

  7. 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]

  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 . 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]

  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 . 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]

  12. 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]

  13. . Global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum. Z. Angew. Math. Phys., 74(5):article no. 194, October . URL https://doi.org/10.1007/s00033-023-02089-4. [preprint] [bibtex]

  14. and . Strichartz estimates for Maxwell equations in media: the structured case in two dimensionals. Arch. Math., 121(4):425–436, October . URL https://doi.org/10.1007/s00013-023-01898-3. [preprint] [bibtex]

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

  16. 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]

  17. . 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]

  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. . 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]

  20. , , , , , 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]

  21. , , 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]

  22. 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]

  23. , , , 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]

  24. , , 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]

  25. , , , 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]

  26. , , , , 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]

  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 . 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]

  29. and . Strichartz estimates for equations with structured Lipschitz coefficients. J. Evol. Equ., 23(3):article no. 45, June . URL https://doi.org/10.1007/s00028-023-00895-x. [preprint] [bibtex]

  30. . 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]

  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 . 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]

  33. 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]

  34. 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]

  35. 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]

  36. 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]

  37. , , , and . The impact of standard ablation strategies for atrial fibrillation on cardiovascular performance in a four-chamber heart model. Cardiovasc. Eng. Technol., 14(2):296–314, April . URL https://doi.org/10.1007/s13239-022-00651-1. [preprint] [bibtex]

  38. 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]

  39. . 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]

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

  41. . Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. IMA J. Numer. Anal., 43(2):1149–1180, March . URL https://doi.org/10.1093/imanum/drac010. [preprint] [bibtex]

  42. and . Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media. Nonlinear Differ. Equ. Appl., 30(2):article no. 22, March . URL https://doi.org/10.1007/s00030-022-00824-w. [preprint] [bibtex]

  43. , , and . Dynamical low-rank integrators for second-order matrix differential equations. BIT, 63(1):article no. 4, March . URL https://doi.org/10.1007/s10543-023-00941-7. [preprint] [files] [bibtex]

  44. , , and . Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. BIT, 63(1):article no. 9, March . URL https://doi.org/10.1007/s10543-023-00942-6. [preprint] [files] [bibtex]

  45. , , , , , , , , , , and . Floquet–Mie theory for time-varying dispersive spheres. Laser Photonics Rev., 17(3):2100683, March . URL https://doi.org/10.1002/lpor.202100683. [bibtex]

  46. and . A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. ESAIM: Math. Model. Numer. Anal., 57(2):865–891, March . URL https://doi.org/10.1051/m2an/2022090. [preprint] [files] [bibtex]

  47. , , , 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]

  48. 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]

  49. . 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]

  50. , , , , , , 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]

  51. , , , , , 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]

  52. , , , 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]

  53. , , 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]

  54. 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]

  55. 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]

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

  57. , , 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]

  58. , , 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]

  59. , , and . Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. J. Sci. Comput., 94(1):article no. 27, January . URL https://doi.org/10.1007/s10915-022-02076-3. [preprint] [files] [bibtex]

  60. . 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]

  61. , , 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]

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

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

  4. 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]

  5. , , , , , 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]

  6. , , , , , , , , 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]

  7. , , 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]

  8. , , , 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]

  9. . 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]

  10. 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]

  11. , , 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]

  12. , , , 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]

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

  14. , , 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]

  15. 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]

  16. . 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]

  17. 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]

  18. 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]

  19. 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]

  20. . 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]

  21. , , , , , , , , , , , , 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]

  22. 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]

  23. , , 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]

  24. , , , 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]

  25. , , 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]

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

  27. 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]

  28. , , , 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]

  29. . 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]

  30. 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]

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2017

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  10. 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]

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  12. , , 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]

  13. 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]

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  15. 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]

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  18. 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]

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2016

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  6. 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]

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  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]

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  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]

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2015

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