2025
On boundedness of isomerization paths for non- and semirelativistic molecules. J. Funct. Anal., 288(3):110713, 81pp., February 2025. URL https://doi.org/10.1016/j.jfa.2024.110713. . [preprint]
2024
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials. Anal. PDE, 17(10):3371–3446, November 2024. URL https://doi.org/10.2140/apde.2024.17.3371. . [preprint]
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 2024. URL https://doi.org/10.1002/zamm.202300650. . [preprint] [files]
A microlocal and visual comparison of 2D Kirchhoff migration formulas in seismic imaging. Inverse Problems, 40(11):115001 (29pp), September 2024. URL https://doi.org/10.1088/1361-6420/ad797b. . [preprint] [files]
Solvability of the two-dimensional stationary incompressible inhomogeneous Navier–Stokes equations with variable viscosity coefficient. Commun. Contemp. Math., 26(7):2350039, September 2024. URL https://doi.org/10.1142/S0219199723500396. .
On growth and instability for semilinear evolution equations: an abstract approach. Math. Ann., 389(4):3885–3933, August 2024. URL https://doi.org/10.1007/s00208-023-02733-4. . [preprint]
Überarbeitung der DFG-Denkschrift "Sicherung guter wissenschaftlicher Praxis". WissR, 57(1):13–21, August 2024. URL https://doi.org/10.1628/wissr-2024-0004. .
Maximum norm error bounds for the full discretization of nonautonomous wave equations. IMA J. Numer. Anal., 44(4):2480–2512, July 2024. URL https://doi.org/10.1093/imanum/drad065. . [preprint] [files]
Variational Gaussian approximation for the magnetic Schrödinger equation. J. Phys. A: Math. Theor., 57(29):295202, July 2024. URL https://doi.org/10.1088/1751-8121/ad591e. . [preprint]
Error bounds for discrete minimizers of the Ginzburg–Landau energy in the high-$\kappa$ regime. SIAM J. Numer. Anal., 62(3):1313–1343, June 2024. URL https://doi.org/10.1137/23M1560938. . [preprint] [files]
Stability of solitary wave solutions in the Lugiato–Lefever equation. Z. Angew. Math. Phys., 75:130, 19pp., June 2024. URL https://doi.org/10.1007/s00033-024-02273-0. . [preprint]
Pinning in the extended Lugiato–Lefever equation. SIAM J. Math. Anal., 56(3):3679–3702, June 2024. URL https://doi.org/10.1137/23M1550700. . [preprint] [files]
Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations. Math. Comp., 1–31, April 2024. URL https://doi.org/10.1090/mcom/3952. Online first. . [preprint] [files]
Normal trace inequalities and decay of solutions to the nonlinear Maxwell equations with absorbing boundary. J. Math. Anal. Appl., 532(1):127915, April 2024. URL https://doi.org/10.1016/j.jmaa.2023.127915. . [preprint]
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 2024. URL https://doi.org/10.1137/23M1551845. . [preprint]
Electromagnetic scalar product in spatially bounded domains. Phys. Rev. A, 109(4):043506, April 2024. URL https://doi.org/10.1103/PhysRevA.109.043506. .
Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions. Found. Comput. Math., 48pp., February 2024. URL https://doi.org/10.1007/s10208-024-09639-w. Online first. . [preprint] [files]
Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation. SIAM J. Math. Anal., 56(1):454–473, February 2024. URL https://doi.org/10.1137/22M1504810. . [preprint]
Two-step homogenization of spatiotemporal metasurfaces using an eigenmode-based approach. Opt. Mater. Express, 14(2):549–563, February 2024. URL https://doi.org/10.1364/OME.509897. See supplement. .
The polychromatic T-matrix. J. Quant. Spectrosc. Radiat. Transf., 314:108853, February 2024. URL https://doi.org/10.1016/j.jqsrt.2023.108853. . [preprint]
Low regularity well-posedness of KP-I equations: The three-dimensional case. J. Funct. Anal., 286(4):110292, February 2024. URL https://doi.org/10.1016/j.jfa.2023.110292. . [preprint]
Differential effects of mechano-electric feedback mechanisms on whole-heart activation, repolarization, and tension. J. Physiol., 20pp., January 2024. URL https://doi.org/10.1113/JP285022. Online first. . [files]
The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition. Inverse Problems, 40(1):015001, 23, January 2024. URL https://doi.org/10.1088/1361-6420/ad0c92. . [preprint]
2023
Breather solutions for a semilinear Klein–Gordon equation on a periodic metric graph. J. Math. Anal. Appl., 528(2):127520, December 2023. URL https://doi.org/10.1016/j.jmaa.2023.127520. . [preprint]
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 2023. Springer Nature Singapore. . [preprint]
Eigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation. SIAM J. Math. Anal., 55(6):7399–7425, December 2023. URL https://doi.org/10.1137/23M1550232. . [preprint]
Oscillatory integral operators with homogeneous phase functions. J. Anal. Math., 547–582, December 2023. URL https://doi.org/10.1007/s11854-023-0320-1. Online first. . [preprint]
Wellposedness for a $(1+1)$-dimensional wave equation with quasilinear boundary conditions. Nonlinearity, 36(12):6712–6746, December 2023. URL https://doi.org/10.1088/1361-6544/ad03d0. . [preprint]
Rigorous envelope approximation for interface wave packets in Maxwell's equations with two dimensional localization. SIAM J. Math. Anal., 55(6):6898–6939, December 2023. URL https://doi.org/10.1137/22M1501611. . [preprint] [files]
Breathers and rogue waves for semilinear curl-curl wave equations. J. Elliptic Parabol. Equ., 9(2):757–780, December 2023. URL https://doi.org/10.1007/s41808-023-00215-x. . [preprint]
On the physical significance of non-local material parameters in optical metamaterials. New J. Phys., 25:123014, December 2023. URL https://doi.org/10.1088/1367-2630/ad1010. . [files]
Analysis of a Peaceman–Rachford ADI scheme for Maxwell equations in heterogenous media. J. Math. Anal. Appl., 527(1, Part 1):127355, November 2023. URL https://doi.org/10.1016/j.jmaa.2023.127355. . [preprint]
On variable viscosity and enhanced dissipation. Nonlinearity, 36(11):6071–6103, November 2023. URL https://doi.org/10.1088/1361-6544/acfec0. . [preprint]
Seismic imaging with generalized Radon transforms: stability of the Bolker condition. Pure Appl. Math. Q, 19(4):1985–2036, November 2023. URL https://doi.org/10.4310/PAMQ.2023.v19.n4.a11. . [preprint] [files]
A robust way to justify the derivative NLS approximation. Z. Angew. Math. Phys., 74:224, 20pp., October 2023. URL https://doi.org/10.1007/s00033-023-02121-7. . [preprint]
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 2023. URL https://doi.org/10.1007/s00033-023-02089-4. . [preprint]
Strichartz estimates for Maxwell equations in media: the structured case in two dimensionals. Arch. Math., 121(4):425–436, October 2023. URL https://doi.org/10.1007/s00013-023-01898-3. . [preprint]
A scalar product for computing fundamental quantities in matter. Symmetry, 15(10):1839, October 2023. URL https://doi.org/10.3390/sym15101839. . [preprint]
The Tomas–Stein inequality under the effect of symmetries. J. Anal. Math., 150(2):547–582, September 2023. URL https://doi.org/10.1007/s11854-023-0282-3. . [preprint]
On stability estimates for the inviscid Boussinesq equations. J. Nonlinear Sci., 33(6):106, 38, September 2023. URL https://doi.org/10.1007/s00332-023-09958-2. . [preprint]
On echoes in magnetohydrodynamics with magnetic dissipation. J. Differential Equations, 367:625–688, September 2023. URL https://doi.org/10.1016/j.jde.2023.05.020. . [preprint]
On echo chains in the linearized Boussinesq equations around traveling waves. SIAM J. Math. Anal., 55(5):5127–5188, September 2023. URL https://doi.org/10.1137/21M1458053. . [preprint]
Numerical evaluation of elasto-mechanical and visco-elastic electro-mechanical models of the human heart. GAMM-Mitt., 46(3-4):e202370010, September 2023. URL https://doi.org/10.1002/gamm.202370010. .
On the van der Waals interaction between a molecule and a half-infinite plate. J. Math. Phys., 64(8):082103, 29pp., August 2023. URL https://doi.org/10.1063/5.0117054. . [preprint]
Wellposedness and regularity for linear Maxwell equations with surface current. Z. Angew. Math. Phys., 74(4):131, August 2023. URL https://doi.org/10.1007/s00033-023-02021-w. . [preprint]
Bandwidth and conversion-efficiency analysis of Kerr soliton combs in dual-pumped resonators with anomalous dispersion. Phys. Rev. A, 108(2):023505, August 2023. URL https://doi.org/10.1103/PhysRevA.108.023505. . [preprint]
Quantum systems at the brink: existence of bound states, critical potentials and dimensionality. Forum Math. Sigma, 11:e61, July 2023. URL https://doi.org/10.1017/fms.2023.39. . [preprint]
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 2023. URL https://doi.org/10.1007/s00033-023-02060-3. . [preprint] [files]
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 2023. URL https://doi.org/10.1093/gji/ggad072. . [preprint]
Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide. Inverse Problems, 39(7):075009, July 2023. URL https://doi.org/10.1088/1361-6420/acd4e0. . [preprint] [files]
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 2023. URL https://doi.org/10.1137/22M1502902. . [preprint]
Strichartz estimates for equations with structured Lipschitz coefficients. J. Evol. Equ., 23(3):article no. 45, June 2023. URL https://doi.org/10.1007/s00028-023-00895-x. . [preprint]
On the scattering of a plane wave by a perturbed open periodic waveguide. Math. Methods Appl. Sci., 46(9):5737–5773, June 2023. URL https://doi.org/10.1002/mma.9147. . [preprint]
Approximate inversion of a class of generalized Radon transforms. SIAM J. Imag. Sci., 16(2):842–866, June 2023. URL https://doi.org/10.1137/22M1512417. . [preprint] [files]
On the iterative regularization of non-linear illposed problems in $L^{\infty}$. Numer. Math., 154:209–247, June 2023. URL https://doi.org/10.1007/s00211-022-01359-7. . [preprint] [files]
Conserved energies for the one dimensional Gross–Pitaevskii equation: Low regularity case. Adv. Math., 420:Paper No. 108996, May 2023. URL https://doi.org/10.1016/j.aim.2023.108996. . [preprint]
On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation. BIT, 63:26, 28pp., April 2023. URL https://doi.org/10.1007/s10543-023-00971-1. . [preprint] [files]
Approximation of high-frequency wave propagation in dispersive media. SIAM J. Math. Anal., 55(2):1214–1245, April 2023. URL https://doi.org/10.1137/22M1474035. . [preprint]
Scattering resonances in unbounded transmission problems with sign-changing coefficient. IMA J. Appl. Math., 88(2):215–257, April 2023. URL https://doi.org/10.1093/imamat/hxad005. . [preprint]
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 2023. URL https://doi.org/10.1007/s13239-022-00651-1. . [preprint]
Nonlinear wave equations with slowly decaying initial data. J. Differential Equations, 350:152–188, March 2023. URL https://10.1016/j.jde.2022.12.022. . [preprint]
Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces. J. Math. Anal. Appl., 519(1):Paper No. 126748, March 2023. URL https://doi.org/10.1016/j.jmaa.2022.126748. . [preprint]
Wave Phenomena. Mathematical Analysis and Numerical Approximation, volume 49 of Oberwolfach Seminars. Birkhäuser Cham, March 2023. .
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 2023. URL https://doi.org/10.1093/imanum/drac010. . [preprint]
Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media. Nonlinear Differ. Equ. Appl., 30(2):article no. 22, March 2023. URL https://doi.org/10.1007/s00030-022-00824-w. . [preprint]
Dynamical low-rank integrators for second-order matrix differential equations. BIT, 63(1):article no. 4, March 2023. URL https://doi.org/10.1007/s10543-023-00941-7. . [preprint] [files]
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. BIT, 63(1):article no. 9, March 2023. URL https://doi.org/10.1007/s10543-023-00942-6. . [preprint] [files]
Floquet–Mie theory for time-varying dispersive spheres. Laser Photonics Rev., 17(3):2100683, March 2023. URL https://doi.org/10.1002/lpor.202100683. .
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 2023. URL https://doi.org/10.1051/m2an/2022090. . [preprint] [files]
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 2023. Springer International Publishing. . [preprint]
KP-II approximation for a scalar Fermi–Pasta–Ulam system on a 2D square lattice. SIAM J. Appl. Math., 83(1):79–98, February 2023. URL https://doi.org/10.1137/22M1509369. . [preprint]
Wellposedness of NLS in modulation spaces. J. Fourier Anal. Appl., 29:9, February 2023. URL https://doi.org/10.1007/s00041-022-09985-9. . [preprint]
A T-matrix based approach to homogenize artificial materials. Adv. Opt. Mater., 11(3):2201564, February 2023. URL https://doi.org/10.1002/adom.202201564. .
Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology. Int. J. Numer. Method. Biomed. Engng., 39(2):e3666, February 2023. URL https://doi.org/10.1002/cnm.3666. . [preprint]
Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies. J. Comput. Phys., 475:Paper No. 111854, February 2023. URL https://doi.org/10.1016/j.jcp.2022.111854. . [preprint] [files]
On the stability of robust dynamical low-rank approximations for hyperbolic problems. SIAM J. Sci. Comput., 45(1):A1–A24, February 2023. URL https://doi.org/10.1137/21M1446289. . [preprint] [files]
Monotonicity in inverse scattering for Maxwell's equations. Inverse Prob. Imaging, 17(1):68–105, February 2023. URL https://doi.org/10.3934/ipi.2022032. . [preprint] [files]
Symmetry of periodic waves for nonlocal dispersive equations. SIAM J. Math. Anal., 55(1):486–507, February 2023. URL https://doi.org/10.1137/21M1433162. . [preprint]
Cwikel's bound reloaded. Invent. math., 231(1):111–167, January 2023. URL https://doi.org/10.1007/s00222-022-01144-7. . [preprint]
Absence of positive eigenvalues of magnetic Schrödinger operators. Calc. Var. Partial Differ. Equ., 62:63, 66pp., January 2023. URL https://doi.org/10.1007/s00526-022-02397-z. . [preprint]
Optimal $W^{1,\infty}$-estimates for an isoparametric finite element discretization of elliptic boundary value problems. Electron. Trans. Numer. Anal., 58:1–21, January 2023. URL https://doi.org/10.1553/etna_vol58s1. . [preprint]
Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. J. Sci. Comput., 94(1):article no. 27, January 2023. URL https://doi.org/10.1007/s10915-022-02076-3. . [preprint] [files]
Energy bounds for a fourth-order equation in low dimensions related to wave maps. Proc. Amer. Math. Soc., 151(1):225–237, January 2023. URL https://doi.org/10.1090/proc/16100. .
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 2023. URL https://doi.org/10.1515/cmam-2022-0145. . [preprint]
2022
A priori estimates for the derivative nonlinear Schrödinger equation. Funkc. Ekvacioj, 65(3):329–346, December 2022. URL https://doi.org/10.1619/fesi.65.329. . [preprint]
Traveling waves for a quasilinear wave equation. Nonlinear Anal., 225:113115, December 2022. URL https://doi.org/10.1016/j.na.2022.113115. . [preprint]
A simple variational approach to nonlinear Maxwell equations. CRC 1173 Preprint 2022/82, Karlsruhe Institute of Technology, December 2022. .
A multilevel stochastic collocation method for Schrödinger equations with a random potential. SIAM/ASA J. Uncertain. Quantif., 10(4):1753–1780, December 2022. URL https://doi.org/10.1137/21M1440517. . [preprint] [files]
Modeling four-dimensional metamaterials: a T-matrix approach to describe time-varying metasurfaces. Opt. Express, 30(25):45832–45847, December 2022. URL https://doi.org/10.1364/OE.476035. . [preprint] [files]
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 2022. URL https://doi.org/10.1038/s41598-022-25574-8. .
A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 62(4):1149–1174, December 2022. URL https://doi.org/10.1007/s10543-021-00907-7. . [preprint]
Van der Waals–London interaction of atoms with pseudo-relativistic kinetic energy. Anal. PDE, 15(6):1375–1428, November 2022. URL https://doi.org/10.2140/apde.2022.15.1375. . [preprint]
Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media. J. Evol. Equ., 22(4):90–135, November 2022. URL https://doi.org/10.1007/s00028-022-00850-2. . [preprint]
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Commun. Math. Sci., 20(8):2265–2313, November 2022. URL https://doi.org/10.4310/CMS.2022.v20.n8.a6. . [preprint]
Inverse medium scattering for a nonlinear Helmholtz equation. J. Math. Anal. Appl., 515(1):126356, November 2022. URL https://doi.org/10.1016/j.jmaa.2022.126356. . [preprint] [files]
Characterization of the pace-and-drive capacity of the human sinoatrial node: a 3D in silico study. Biophys. J., 121(22):4247–4259, November 2022. URL https://doi.org/10.1016/j.bpj.2022.10.020. . [files]
Biharmonic nonlinear scalar field equations. Int. Math. Res. Not. IMRN, rnac303, November 2022. URL https://doi.org/10.1093/imrn/rnac303. . [preprint]
Spectral enclosures for the damped elastic wave equation. Math. Eng., 4(6):Paper No. 052, 10, November 2022. URL https://doi.org/10.3934/mine.2022052. . [preprint]
Global wellposedness of NLS in $H^1(\Bbb R)+H^s(\Bbb T)$. J. Math. Anal. Appl., 514(2):Paper No. 126359, 14, October 2022. URL https://doi.org/10.1016/j.jmaa.2022.126359. . [preprint]
A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions. Numer. Math., 152:907–936, October 2022. URL https://doi.org/10.1007/s00211-022-01326-8. . [preprint] [files]
Error analysis of multirate leapfrog-type methods for second-order semilinear ODEs. SIAM J. Numer. Anal., 60(5):2897–2924, October 2022. URL https://doi.org/10.1137/21M1427255. . [preprint] [files]
On quasilinear Maxwell equations in two dimensions. Pure Appl. Anal., 4(2):313–365, October 2022. URL https://doi.org/10.2140/paa.2022.4.313. . [preprint]
Numerical upscaling for wave equations with time-dependent multiscale coefficients. Multiscale Model. Simul., 20(4):1169–1190, October 2022. URL https://doi.org/10.1137/21M1438244. . [preprint] [files]
High order complex contour discretization methods to simulate scattering problems in locally perturbed periodic waveguides. SIAM J. Sci. Comput., 44(5):B1257–B1281, October 2022. URL https://doi.org/10.1137/21M1421532. . [preprint]
Transformation-optics modeling of 3D-printed freeform waveguides. Opt. Express, 30(21):38856–38879, October 2022. URL https://doi.org/10.1364/OE.452243. .
Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. Commun. Pure Appl. Anal., 21(9):2873–2889, September 2022. URL https://doi.org/10.3934/cpaa.2022079. . [preprint]
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds. Stoch. PDE: Anal. Comp., 10(3):828–857, September 2022. URL https://doi.org/10.1007/s40072-022-00238-w. . [preprint]
Non-homogeneous Gagliardo–Nirenberg inequalities $\mathbb{R}^N$ and application to a biharmonic non-linear Schrödinger equation. J. Differential Equations, 330:1–65, September 2022. URL https://doi.org/10.1016/j.jde.2022.04.037. . [preprint]
The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. J. Dyn. Diff. Equat., 34(3):2201–2227, September 2022. URL https://doi.org/10.1007/s10884-021-09943-x. . [preprint]
Inf-sup stability implies quasi-orthogonality. Math. Comp., 91(337):2059–2094, September 2022. URL https://doi.org/10.1090/mcom/3748. .
The factorization method and Capon’s method for random source identification in experimental aeroacoustics. Inverse Problems, 38(11):115004, September 2022. URL https://doi.org/10.1088/1361-6420/ac90e4. . [preprint]
Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning. Numer. Algor., 91(1):81–107, September 2022. URL https://doi.org/10.1007/s11075-022-01255-5. . [preprint]
Bounds on eigenvalues of perturbed Lamé operators with complex potentials. Math. Eng., 4(5):Paper No. 037, 29, September 2022. URL https://doi.org/10.3934/mine.2022037. . [preprint]
Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 91(336):1687–1709, July 2022. URL https://doi.org/10.1090/mcom/3736. . [preprint] [files]
Error analysis for space discretizations of quasilinear wave-type equations. IMA J. Numer. Anal., 42(3):1963–1990, July 2022. URL https://doi.org/10.1093/imanum/drab073. . [preprint] [files]
Multiscale scattering in nonlinear Kerr-type media. Math. Comp., 91(336):1655–1685, July 2022. URL https://doi.org/10.1090/mcom/3722. . [preprint]
Interchanging space and time in nonlinear optics modeling and dispersion management models. J. Nonlinear Sci., 32(3):29, 39, June 2022. URL https://doi.org/10.1007/s00332-022-09788-8. .
The heterogeneous multiscale method for dispersive Maxwell systems. Multiscale Model. Simul., 20(2):769–797, June 2022. URL https://doi.org/10.1137/21M1443960. . [preprint]
Exponential integrators for quasilinear wave-type equations. SIAM J. Numer. Anal., 60(3):1472–1493, June 2022. URL https://doi.org/10.1137/21M1410579. . [preprint] [files]
Toward maximally electromagnetically chiral scatterers at optical frequencies. ACS Photonics, 9(6):1954–1964, June 2022. URL https://doi.org/10.1021/acsphotonics.1c01887. .
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Nonlinear Helmholtz equations with sign-changing diffusion coefficient. C. R. Math., 360:513–538, May 2022. URL https://doi.org/10.5802/crmath.322. . [preprint]
Dyssynchronous left ventricular activation is insufficient for the breakdown of wringing rotation. Front. Physiol., 13:838038, May 2022. URL https://doi.org/10.3389/fphar.2022.838038. .
The optical helicity in a more algebraic approach to electromagnetism. Photoniques, 113(1):54–58, May 2022. URL https://doi.org/10.1051/photon/202111354. .
Time-dependent electromagnetic scattering from thin layers. Numer. Math., 150(4):1123–1164, April 2022. URL https://doi.org/10.1007/s00211-022-01277-0. . [preprint] [files]
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Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., 42(2):1313–1338, April 2022. URL https://doi.org/10.1093/imanum/drab004. . [preprint] [files]
Exponential convergence of perfectly matched layers for scattering problems with periodic surfaces. SIAM J. Num. Anal., 60(2):804–823, April 2022. URL https://doi.org/10.1137/21M1439043. . [preprint]
On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. J. Funct. Anal., 282(15):109352, March 2022. URL https://doi.org/10.1016/j.jfa.2021.109352. . [preprint]
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 2022. URL https://doi.org/10.1007/s00211-021-01262-z. . [preprint] [files]
Global Strichartz estimates for an inhomogeneous Maxwell system. Commun. Partial Differ. Equ., 47(3):630–675, March 2022. URL https://doi.org/10.1080/03605302.2021.1998910. . [preprint]
An offline-online strategy for multiscale problems with random defects. ESAIM: Math. Model. Numer. Anal., 56(1):237–260, March 2022. URL https://doi.org/10.1051/m2an/2022006. . [preprint] [files]
An unconventional robust integrator for dynamical low-rank approximation. BIT, 62(1):23–44, March 2022. URL https://doi.org/10.1007/s10543-021-00873-0. . [preprint]
Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 12(5):1–21, March 2022. URL https://doi.org/10.1615/Int.J.UncertaintyQuantification.2022039345. . [preprint] [files]
Multidimensional measures of electromagnetic chirality and their conformal invariance. New J. Phys., 24:033022, March 2022. URL https://doi.org/10.1088/1367-2630/ac57e8. . [preprint]
Improved Hardy–Rellich inequalities. Commun. Pure Appl. Anal., 21(3):867–889, March 2022. URL https://doi.org/10.3934/cpaa.2022002. . [preprint]
Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case. J. Fourier Anal. Appl., 28(2):16, February 2022. URL https://doi.org/10.1007/s00041-022-09912-y. . [preprint]
Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. J. Math. Anal. Appl., 506(1):125646, February 2022. URL https://doi.org/10.1016/j.jmaa.2021.125646. . [preprint]
Breather solutions for a quasi-linear $(1+1)$-dimensional wave equation. Stud. Appl. Math., 148(2):689–714, February 2022. URL https://doi.org/10.1111/sapm.12455. . [preprint]
A scattering problem for a local pertubation of an open periodic waveguide. Math. Methods Appl. Sci., 45(10):5737–5773, February 2022. URL https://doi.org/10.1002/mma.8137. . [preprint]
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. IMA J. Numer. Anal., 42(1):1–26, January 2022. URL https://doi.org/10.1093/imanum/draa091. . [preprint]
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 2022. URL https://doi.org/10.1007/s00526-021-02116-0. . [preprint]
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The Zakharov limit of Klein–Gordon–Zakharov like systems in case of analytic solutions. Appl. Anal., 100(12):2659–2667, 2021. URL https://doi.org/10.1080/00036811.2019.1695785. .
The absence of the Efimov effect in systems of one- and two-dimensional particles. J. Math. Phys., 62(12):123502, 46, December 2021. URL https://doi.org/10.1063/5.0033524. . [preprint]
A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. J. Funct. Anal., 281(11):109233, December 2021. URL https://doi.org/10.1016/j.jfa.2021.109233. . [preprint]
Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. SIAM J. Numer. Anal., 19(4):1857–1884, December 2021. URL https://doi.org/10.1137/21M1416801. . [preprint] [files]
A quasi–Monte Carlo data compression algorithm for machine learning. J. Complexity, 67:Paper No. 101587, 25, December 2021. URL https://doi.org/10.1016/j.jco.2021.101587. .
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 2021. URL https://doi.org/10.1093/gji/ggab311. . [preprint]
Low regularity well-posedness for generalized Benjamin–Ono equations on the circle. J. Hyperbolic Differ. Equ., 18(4):931–984, December 2021. URL https://doi.org/10.1142/S0219891621500272. . [preprint]
Erfahrungen bei den Lernbrücken in Karlsruhe 2021. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):234–235, December 2021. URL https://doi.org/10.1515/dmvm-2021-0083. .
Der Kodex „Leitlinien zur Sicherung guter wissenschaftlicher Praxis“ der DFG. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):239–242, December 2021. URL https://doi.org/10.1515/dmvm-2021-0085. .
Unconditional uniqueness of higher order nonlinear Schrödinger equations. Czechoslovak Math. J., 71(3):709–742, October 2021. URL https://doi.org/10.21136/CMJ.2021.0078-20. . [preprint]
Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver. Comput. Math. Appl., 100:126–140, October 2021. URL https://doi.org/10.1016/j.camwa.2021.09.001. . [preprint]
Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Phys. Let. A, 412(19):127570, October 2021. URL https://doi.org/10.1016/j.physleta.2021.127570. . [preprint]
Artificial neural networks used to retrieve effective properties of metamaterials. Opt. Express, 29(22):36072–36085, October 2021. URL https://doi.org/10.1364/OE.427778. .
Co-dimension one stable blowup for the supercritical cubic wave equation. Adv. Math., 390:107930, October 2021. URL https://doi.org/10.1016/j.aim.2021.107930. . [preprint]
Eigenvalue bounds and spectral stability of Lamé operators with complex potentials. J. Differential Equations, 298:528–559, October 2021. URL https://doi.org/10.1016/j.jde.2021.07.017. . [preprint]
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 2021. URL https://doi.org/10.1016/j.jde.2021.07.019. .
On the global wellposedness of the Klein–Gordon equation for initial data in modulation spaces. Proc. Amer. Math. Soc., 149(9):3849–3861, September 2021. URL https://doi.org/10.1090/proc/15497. . [preprint]
Recurrent neural networks as optimal mesh refinement strategies. Comput. Math. Appl., 97:61–76, September 2021. URL https://doi.org/10.1016/j.camwa.2021.05.018. . [preprint]
Convergence of adaptive stochastic collocation with finite elements. Comput. Math. Appl., 98:139–156, September 2021. URL https://doi.org/10.1016/j.camwa.2021.07.001. . [preprint]
Maximizing the electromagnetic chirality of thin dielectric tubes. SIAM J. Appl. Math., 81(5):1979–2006, September 2021. URL https://doi.org/10.1137/21M1393509. . [preprint]
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 2021. URL https://doi.org/10.1007/s00205-021-01684-x. . [preprint]
Numerical methods for scattering problems in periodic waveguides. Numer. Math., 148(4):959–996, August 2021. URL https://doi.org/10.1007/s00211-021-01229-0. . [preprint]
Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law. Nonlinearity, 34(8):5538–5575, July 2021. URL https://doi.org/10.1088/1361-6544/abd612. .
Causes of altered ventricular mechanics in hypertrophic cardiomyopathy: an in-silico study. BioMed. Eng. OnLine, 20:69, July 2021. URL https://doi.org/10.1186/s12938-021-00900-9. .
Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. Inverse Problems, 37(8):085011, 17, July 2021. URL https://doi.org/10.1088/1361-6420/ac11c5. . [preprint]
Nonlinear scalar field equation with competing nonlocal terms. Nonlinearity, 34(8):5687–5707, July 2021. URL https://doi.org/10.1088/1361-6544/ac0d47. . [preprint]
Variational methods for breather solutions of nonlinear wave equations. Nonlinearity, 34(6):3618–3640, June 2021. URL https://doi.org/10.1088/1361-6544/abed38. . [preprint]
Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity. Calc. Var. Partial Differ. Equ., 60:133, 13pp., June 2021. URL https://doi.org/10.1007/s00526-021-02006-5. . [preprint]
On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. Nonlinearity, 34(7):4844–4896, June 2021. URL https://doi.org/10.1088/1361-6544/abfca9. . [preprint]
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 2021. Springer, Cham. . [preprint]
On the Boussinesq equations with non-monotone temperature profiles. J. Nonlinear Sci., 31(4):64, 38, May 2021. URL https://doi.org/10.1007/s00332-021-09723-3. . [preprint]
Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 387:112494, May 2021. URL https://doi.org/10.1016/j.cam.2019.112494. . [preprint]
Lower limits for the homogenization of periodic metamaterials made from electric dipolar scatterers. Phys. Rev. B, 103(19):195425, May 2021. URL https://doi.org/10.1103/PhysRevB.103.195425. . [preprint]
Electro-mechanical whole-heart digital twins: A fully coupled multi-physics approach. Mathematics, 9(11):1247, May 2021. URL https://doi.org/10.3390/math9111247. .
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Math. Comp., 90(329):995–1038, May 2021. URL https://doi.org/10.1090/mcom/3597. . [preprint]
An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. Math. Methods Appl. Sci., 44(8):6377–6388, May 2021. URL https://doi.org/10.1002/mma.7190. . [preprint]
An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Multiscale Model. Simul., 19(2):846–885, May 2021. URL https://doi.org/10.1137/20M1369907. . [preprint]
The Lieb–Thirring inequality revisited. J. Eur. Math. Soc., 23(8):2583–2600, April 2021. URL https://doi.org/10.4171/JEMS/1062. . [preprint]
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 2021. URL https://doi.org/10.1007/s00211-021-01184-w. . [preprint] [files]
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Waves of maximal height for a class of nonlocal equations with homogeneous symbols. Indiana Univ. Math. J., 70(2):711–742, March 2021. URL https://doi.org/10.1512/iumj.2021.70.8368. . [preprint]
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. SN Partial Differ. Equ. Appl., 2(2):23, 27pp., March 2021. URL https://doi.org/10.1007/s42985-020-00045-9. . [preprint] [files]
A uniqueness result for the sine-Gordon breather. SN Partial Differ. Equ. Appl., 2:26, 8pp., March 2021. URL https://doi.org/10.1007/s42985-021-00084-w. . [preprint]
Asymptotic preserving trigonometric integrators for the quantum Zakharov system. BIT, 61(1):61–81, March 2021. URL https://doi.org/10.1007/s10543-020-00815-2. . [preprint]
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 2021. URL https://doi.org/10.1093/europace/euaa404. .
On the asymptotic dynamics of 2-D magnetic quantum systems. Ann. Henri Poincaré, 22(2):415–445, February 2021. URL https://doi.org/10.1007/s00023-020-01012-1. . [preprint]
An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. Math. Ann., 379(1):865–907, February 2021. URL https://doi.org/10.1007/s00208-020-02093-3. . [preprint]
A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., 19(1):374–400, February 2021. URL https://doi.org/10.1137/20M1338290. . [preprint] [files]
Spectrum decomposition of translation operators in periodic waveguide. SIAM J. Appl. Math., 81(1):233–257, February 2021. URL https://doi.org/10.1137/19M1290942. .
Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February 2021. URL https://doi.org/10.1137/20M1321838. . [preprint]
Total helicity of electromagnetic fields and matter. Phys. Rev. B, 103(5):054406, February 2021. URL https://doi.org/10.1103/PhysRevB.103.054406. . [preprint]
The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 63(1):45–53, January 2021. URL https://doi.org/10.1017/S0017089519000491. . [preprint]
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 2021. URL https://doi.org/10.1007/s00030-020-00670-8. . [preprint]
Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 41(1):638–728, January 2021. URL https://doi.org/10.1093/imanum/drz073. . [preprint]
The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 81:391–406, January 2021. URL https://doi.org/10.1016/j.camwa.2020.03.004. . [preprint]
Bayesian optimization with improved scalability and derivative information for efficient design of nanophotonic structures. J. Light. Technol., 39(1):167–177, January 2021. URL https://doi.org/10.1109/JLT.2020.3023450. .
The taut string approach to statistical inverse problems: theory and applications. J. Computat. Appl. Math., 382:113098, January 2021. URL https://doi.org/10.1016/j.cam.2020.113098. . [preprint] [files]
Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 147(4):997–1000, 4 2021. URL https://doi.org/10.1007/s00211-021-01196-6. .
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The monoatomic FPU system as a limit of a diatomic FPU system. Appl. Math. Lett., 107:106387, 8, 2020. URL https://doi.org/10.1016/j.aml.2020.106387. .
Hybrid multi-chip assembly of optical communication engines by in situ 3D nano-lithography. Light Sci. Appl., 9:71, 2020. URL https://doi.org/10.1038/s41377-020-0272-5. .
A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl., 492(1):124442, December 2020. URL https://doi.org/10.1016/j.jmaa.2020.124442. . [preprint]
Breather solutions of the cubic Klein–Gordon equation. Nonlinearity, 33(12):7140–7166, December 2020. URL https://doi.org/10.1088/1361-6544/abb78b. . [preprint]
Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 32(4):1867–1899, December 2020. URL https://doi.org/10.1007/s10884-019-09791-w. . [preprint]
Imaging with the elliptic Radon transform in three dimensions from an analytical and numerical perspective. SIAM J. Imag. Sci., 13(4):2250–2280, December 2020. URL https://doi.org/10.1137/20M1332657. . [preprint]
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Application of the second domain derivative in inverse electromagnetic scattering. Inverse Problems, 36(12):125002, 34, December 2020. URL https://doi.org/10.1088/1361-6420/abaa31. . [preprint]
Modulation equations near the Eckhaus boundary: The KdV equation. SIAM J. Math. Anal., 52(6):5389–5421, November 2020. URL https://doi.org/10.1137/19M1266873. . [preprint]
Sparse compression of expected solution operators. SIAM J. Numer. Anal., 58(6):3144–3164, November 2020. URL https://doi.org/10.1137/20M132571X. . [preprint]
A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys., 421:109735, 18, November 2020. URL https://doi.org/10.1016/j.jcp.2020.109735. .
Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Comm. Math. Phys., 379(2):633–691, October 2020. URL https://doi.org/10.1007/s00220-020-03853-7. . [preprint]
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 2020. Birkhäuser Basel. .
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 2020. Birkhäuser Basel. .
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 2020. Birkhäuser Basel. .
Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 40(4):2143–2162, October 2020. URL https://doi.org/10.1093/imanum/drz050. . [preprint]
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 2020. Birkhäuser Basel. .
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Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials. SIAM J. Math. Anal., 55(5):4425–4444, October 2020. URL https://doi.org/10.1137/22M1494786. . [preprint]
Consequences of using an orthotropic stress tensor for left ventricular systole. In 2020 Computing in Cardiology (CinC), pages 1–4, Rimini, Italy, September 2020. .
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 2020. URL https://doi.org/10.1016/j.jmaa.2020.124141. . [preprint]
Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. Inverse Problems, 35(10):105007, September 2020. URL https://doi.org/10.1088/1361-6420/abb5e2. . [preprint]
Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Proc. Lond. Math. Soc. (3), 121(3):584–616, September 2020. URL https://doi.org/10.1112/plms.12327. . [preprint]
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Electron. Trans. Numer. Anal., 53:522–540, August 2020. URL https://doi.org/10.1553/etna_vol53s522. . [preprint]
On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August 2020. URL https://doi.org/10.1137/18M1209453. . [preprint]
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 2020. URL https://doi.org/10.3934/dcdsb.2020043. . [preprint]
Monotonicity in inverse obstacle scattering on unbounded domains. Inverse Problems, 36(8):085014, August 2020. URL https://doi.org/10.1088/1361-6420/ab98a3. . [preprint] [files]
Equilibrium measures and equilibrium potentials in the Born–Infeld model. J. Math. Pures Appl., 139:35–62, July 2020. URL https://doi.org/10.1016/j.matpur.2020.05.001. . [preprint]
On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 145(3):553–580, July 2020. URL https://doi.org/10.1007/s00211-020-01120-4. . [preprint]
The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. Nonlinear Differ. Equ. Appl., 27:40, July 2020. URL https://doi.org/10.1007/s00030-020-00642-y. . [preprint]
2D multiparameter viscoelastic shallow-seismic full-waveform inversion: reconstruction tests and first field-data application. Geophys. J. Int., 222(1):560–571, July 2020. URL https://doi.org/10.1093/gji/ggaa198. . [preprint]
Random objective waveform inversion of surface waves. Geophysics, 85(4):1JA–Z18, July 2020. URL https://doi.org/10.1190/GEO2019-0613.1. .
Inverse design of nanophotonic devices with structural integrity. ACS Photonics, 7(8):2190–2196, July 2020. URL https://doi.org/10.1021/acsphotonics.0c00699. .
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 2020. Springer, Cham. .
On a thin film model with insoluble surfactant. J. Differ. Equ., 268(12):7582–7608, June 2020. URL https://doi.org/10.1016/j.jde.2019.11.080. . [preprint]
Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 236(2):505–576, May 2020. URL https://doi.org/10.1007/s00205-019-01475-5. . [preprint]
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 2020. URL https://doi.org/10.2140/paa.2020.2.519. . [preprint]
Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May 2020. URL https://doi.org/10.1103/PhysRevB.101.195411. . [preprint]
Well-posedness and stability for a mixed order system arising in thin film equations with surfactant. Math. Nachr., 293(5):879–892, May 2020. URL https://doi.org/mana.201900010. . [preprint]
The KdV approximation for a system with unstable resonances. Math. Methods Appl. Sci., 43(6):3185–3199, April 2020. URL https://doi.org/10.1002/mma.6110. . [preprint]
Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 236(1):253–288, April 2020. URL https://doi.org/10.1007/s00205-019-01469-3. . [preprint]
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(4):787–809, April 2020. URL https://doi.org/10.1007/s00211-020-01105-3. . [preprint]
Performance of chip-scale optical frequency comb generators in coherent WDM communications. Opt. Express, 28(9):12897–12910, April 2020. URL https://doi.org/10.1364/OE.380413. .
The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April 2020. URL https://doi.org/10.3389/fphar.2020.00516. .
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(3):699–728, March 2020. URL https://doi.org/10.1007/s00211-019-01093-z. . [preprint]
Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 8(1):1–53, March 2020. URL https://doi.org/10.1007/s40072-019-00141-x. . [preprint]
Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. Comm. Partial Differential Equations, 45(8):887–912, March 2020. URL https://doi.org/10.1080/03605302.2020.1743308. . [preprint]
Threshold for blowup for the supercritical cubic wave equation. Nonlinearity, 33(5):2143–2158, March 2020. URL https://doi.org/10.1088/1361-6544/ab6f4d. . [preprint]
Biharmonic wave maps: local wellposedness in high regularity. Nonlinearity, 33(5):2270–2305, March 2020. URL https://doi.org/10.1088/1361-6544/ab73ce. . [preprint]
Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 144(2):323–346, February 2020. URL https://doi.org/10.1007/s00211-019-01085-z. . [preprint]
Mapping and removing the ventricular far field component in unipolar atrial electrograms. IEEE Trans. Biomed. Eng., 67(10):2905–2915, February 2020. URL https://doi.org/10.1109/TBME.2020.2973471. .
Boundary stabilization of quasilinear Maxwell equations. J. Differential Equations, 268(2):784–812, January 2020. URL https://doi.org/10.1016/j.jde.2019.08.032. . [preprint]
A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, January 2020. URL https://doi.org/10.1088/1361-6420/ab5819. . [preprint]
Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January 2020. URL https://doi.org/10.1515/anona-2020-0040. . [preprint]
On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. Int. Math. Res. Not. IMRN, rnz389, January 2020. URL https://doi.org/10.1093/imrn/rnz389. . [preprint]
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 2020. URL https://doi.org/10.3389/fphar.2019.01632. .
Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 60(3):591–614, January 2020. URL https://doi.org/10.1007/s10543-019-00799-8. . [preprint]
Superconducting-nanowire single-photon spectrometer exploiting cascaded photonic crystal cavities. Phys. Rev. Applied, 13(1):014061, January 2020. URL https://doi.org/10.1103/PhysRevApplied.13.014061. . [preprint]
2019
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numer. Math., 143(4):797–853, December 2019. URL https://doi.org/10.1007/s00211-019-01074-2. .
Exponential decay of quasilinear Maxwell equations with interior conductivity. Nonlinear Differ. Equ. Appl., 26(6):Paper No. 51, December 2019. URL https://doi.org/10.1007/s00030-019-0595-1. . [preprint]
Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., 117(12):2244–2254, December 2019. URL https://doi.org/10.1016/j.bpj.2019.07.037. .
Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. SIAM J. Appl. Math., 79(6):2639–2662, December 2019. URL https://doi.org/10.1137/19M1269403. See corrigendum. . [preprint]
On a Kelvin–Voigt viscoelastic wave equation with strong delay. SIAM J. Math. Anal., 51(6):4382–4412, November 2019. URL https://doi.org/10.1137/18M1219308. . [preprint]
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 2019. . [preprint]
A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November 2019. URL https://doi.org/10.3390/sym11111427. .
Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October 2019. URL https://doi.org/10.1093/imanum/dry045. . [preprint]
Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October 2019. URL https://doi.org/10.1137/18M1234072. . [preprint]
Near-field imaging of locally perturbed periodic surfaces. Inverse Problems, 35(11):114003, October 2019. URL https://doi.org/10.1088/1361-6420/ab2e8f. . [preprint]
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 2019. IEEE Engineering in Medicine and Biology Society (EMBC), IEEE. .
Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September 2019. URL https://doi.org/10.1007/s00028-019-00501-z. . [preprint]
Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September 2019. URL https://doi.org/10.1137/19M1249679. . [preprint]
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 2019. . [preprint]
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 2019. . [preprint]
Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September 2019. URL https://doi.org/10.1016/j.na.2019.02.019. . [preprint]
Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September 2019. URL https://doi.org/10.1103/PhysRevA.100.033819. . [preprint]
NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August 2019. URL https://doi.org/10.1007/s00041-018-09655-9. . [preprint]
Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August 2019. URL https://doi.org/10.1007/s00440-018-0882-5. . [preprint]
Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August 2019. URL https://doi.org/10.1515/ans-2019-2050. . [preprint]
Homogenization of wire media with a general purpose nonlocal constitutive relation. J. Opt. Soc. Am. B, 36(8):F99–F108, August 2019. URL https://doi.org/10.1364/JOSAB.36.000F99. .
Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August 2019. URL https://doi.org/10.1090/proc/14744. . [preprint]
Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July 2019. URL https://doi.org/10.1093/imanum/dry033. . [preprint]
Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July 2019. URL https://doi.org/10.1093/imanum/dry036. . [preprint]
Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July 2019. URL https://doi.org/10.1515/cmam-2018-0190. . [preprint]
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 2019. URL https://doi.org/10.1016/j.jmaa.2019.02.042. . [preprint]
Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July 2019. URL https://doi.org/10.1088/1361-6420/ab10cb. . [preprint]
Numerical approximation of planar oblique derivative problems in nondivergence form. Math. Comp., 88(317):1091–1119, July 2019. URL https://doi.org/10.1090/mcom/3371. . [preprint]
Improved efficiency of a multi-index FEM for computational uncertainty quantification. SIAM J. Numer. Anal., 57(4):1744–1769, July 2019. URL https://doi.org/10.1137/18M1193700. . [preprint]
Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June 2019. URL https://doi.org/10.1007/s00233-019-10016-1. . [preprint]
The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June 2019. URL https://doi.org/10.1007/s00220-019-03363-1. . [preprint]
On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June 2019. URL https://doi.org/10.1112/jlms.12196. . [preprint]
Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June 2019. URL https://doi.org/10.12775/TMNA.2019.025. . [preprint]
Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June 2019. URL https://doi.org/10.1137/18M122844X. . [preprint]
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Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May 2019. URL https://doi.org/10.1090/mcom/3365. . [preprint]
Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May 2019. URL https://doi.org/10.1137/18M1203377. . [preprint]
Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differential Equations, 266(8):5012–5063, April 2019. URL https://doi.org/10.1016/j.jde.2018.10.019. . [preprint]
Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March 2019. URL https://doi.org/10.1088/1361-6544/aaf59d. . [preprint]
Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March 2019. URL https://doi.org/10.1090/mcom/3339. . [preprint]
High-resolution characterization of near-surface structures by surface-wave inversions: From dispersion curve to full waveform. Surv. Geophys., 40(2):167–195, March 2019. URL https://doi.org/10.1007/s10712-019-09508-0. . [preprint]
Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February 2019. URL https://doi.org/10.1103/PhysRevB.99.075401. . [preprint]
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 2019. .
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 2019. URL https://doi.org/10.1137/18M1177184. . [preprint]
Observation guided systematic reduction of a detailed human ventricular cell model. In 2019 Computing in Cardiology (CinC), volume 46, pages 1–4, February 2019. .
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 2019. URL https://doi.org/10.1111/1365-2478.12728. .
Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February 2019. URL https://doi.org/10.1007/s11118-018-9683-9. . [preprint]
Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February 2019. URL https://doi.org/10.1016/j.aml.2018.08.021. .
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 2019. Springer International Publishing. . [preprint]
Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January 2019. URL https://doi.org/10.1090/mcom/3327. . [preprint]
Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January 2019. URL https://doi.org/10.1002/adom.201800783. .
Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January 2019. URL https://doi.org/10.1103/PhysRevB.99.035442. .
An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January 2019. URL https://doi.org/10.1093/imanum/drx064. . [preprint]
Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January 2019. URL https://doi.org/10.3389/fphys.2018.01910. .
Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January 2019. URL https://doi.org/10.1093/gji/ggy432. .
2018
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 2018. URL https://doi.org/10.1016/j.jappgeo.2018.09.037. .
Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December 2018. URL https://doi.org/10.1112/blms.12212. . [preprint]
Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November 2018. URL https://doi.org/10.3934/dcds.2018248. . [preprint]
Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November 2018. URL https://doi.org/10.1007/s00220-018-3263-0. . [preprint]
Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November 2018. URL https://doi.org/10.1093/europace/euy231. .
Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November 2018. URL https://doi.org/10.1088/1361-6420/aadc2a. . [preprint]
Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November 2018. URL https://doi.org/10.3233/asy-181480. . [preprint]
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differential Equations, 265(8):3311–3338, October 2018. URL https://doi.org/10.1016/j.jde.2017.08.028. . [preprint]
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 2018. URL https://doi.org/10.1109/TBME.2018.2794321. .
Runge–Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Found. Comput. Math., 18(5):1109–1130, October 2018. URL https://doi.org/10.1007/s10208-017-9364-x. .
Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September 2018. URL https://doi.org/10.1007/s00028-018-0448-0. . [preprint]
The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September 2018. URL https://doi.org/10.1007/s00028-018-0433-7. . [preprint]
Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September 2018. URL https://doi.org/10.1103/PhysRevB.98.115409. .
A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September 2018. URL https://doi.org/10.3389/fphys.2018.01251. .
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 2018. URL https://doi.org/10.1016/j.jacep.2018.03.007. .
Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July 2018. URL https://doi.org/10.1364/optica.5.000876. .
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 2018. URL https://doi.org/10.1002/mma.4879. . [preprint]
Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June 2018. URL https://doi.org/10.1007/s00209-017-1957-1. .
Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June 2018. URL https://doi.org/10.1007/s10208-017-9352-1. . [preprint]
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 2018. . [preprint]
Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June 2018. URL https://doi.org/10.1137/16M108286X. . [preprint]
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 2018. URL https://doi.org/10.1364/JOSAA.35.001063. .
Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May 2018. URL https://doi.org/10.1090/mcom/3263. . [preprint]
Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May 2018. URL https://doi.org/10.1364/OPTICA.5.000658. .
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April 2018. URL https://doi.org/10.1137/17M1121925. . [preprint]
Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April 2018. URL https://doi.org/10.1007/s00211-017-0926-2. . [preprint]
In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April 2018. URL https://doi.org/10.1038/s41566-018-0133-4. .
Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March 2018. URL https://doi.org/10.1007/s00211-017-0914-6. . [preprint]
Blow-up for nonlinear Maxwell equations. Electron. J. Differ. Equ., Paper No. 73, 9, March 2018. URL https://ejde.math.txstate.edu/Volumes/2018/73/abstr.html. . [preprint]
Dual variational methods for a nonlinear Helmholtz system. Nonlinear Differ. Equ. Appl., 25(2):article no. 13, March 2018. URL https://doi.org/10.1007/s00030-018-0504-z. . [preprint]
Asymptotic consistent exponential-type integrators for Klein–Gordon–Schrödinger systems from relativistic to non-relativistic regimes. Electron. Trans. Numer. Anal., 48:63–80, March 2018. URL https://doi.org/10.1553/etna_vol48s63. .
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numer. Math., 138(2):365–388, February 2018. URL https://doi.org/10.1007/s00211-017-0909-3. . [preprint]
Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February 2018. URL https://doi.org/10.1126/science.aao3924. .
Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February 2018. URL https://doi.org/10.7153/oam-2019-13-21. . [preprint]
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. IMA J. Numer. Anal., 38(1):57–74, January 2018. URL https://doi.org/10.1093/imanum/drx007. . [preprint]
The definition and measurement of electromagnetic chirality. Math. Methods Appl. Sci., 41(2):559–572, January 2018. URL https://doi.org/10.1002/mma.4628. . [preprint]
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Inverse Problems, 34(1):014002, 25, January 2018. URL https://doi.org/10.1088/1361-6420/aa9900. . [preprint]
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, January 2018. URL https://doi.org/10.1137/17M1118920. . [preprint]
2017
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 2017. Probabilistic methods and operator theory. .
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 2017. URL https://doi.org/10.3934/krm.2017036. . [preprint]
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 2017. URL https://doi.org/10.3389/fphys.2017.01113. .
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 2017. . [preprint]
Strang splitting for a semilinear Schrödinger equation with damping and forcing. J. Math. Anal. Appl., 455(2):1051–1071, November 2017. URL https://doi.org/10.1016/j.jmaa.2017.06.004. . [preprint]
Freezing similarity solutions in the multi-dimensional Burgers equation. Nonlinearity, 30(12):4558–4586, November 2017. URL https://doi.org/10.1088/1361-6544/aa89d5. . [preprint]
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 2017. URL https://doi.org/10.1016/j.jde.2017.04.020. . [preprint]
Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. Z. Anal. Anwend., 36(4):419–435, October 2017. URL https://doi.org/10.4171/ZAA/1595. . [preprint]
Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):article no. 121, October 2017. URL https://doi.org/10.1007/s00033-017-0859-8. . [preprint]
Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October 2017. URL https://doi.org/10.1093/imanum/drw059. . [preprint]
Dispersion managed solitons in the presence of saturated nonlinearity. Phys. D, 356-357:65–69, October 2017. URL https://doi.org/10.1016/j.physd.2017.06.004. . [preprint]
Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. J. Math. Phys., 58(10):101513, 43, October 2017. URL https://doi.org/10.1063/1.5004253. . [preprint]
Spectrum of a singularly perturbed periodic thin waveguide. J. Math. Anal. Appl., 454(2):673–694, October 2017. URL https://doi.org/10.1016/j.jmaa.2017.05.012. . [preprint]
Stable foliations near a traveling front for reaction diffusion systems. Discrete Contin. Dyn. Syst. Ser. B, 22(8):3145–3165, October 2017. URL https://doi.org/10.3934/dcdsb.2017168. . [preprint]
Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 137(1):91–117, September 2017. URL https://doi.org/10.1007/s00211-017-0868-8. . [preprint]
Multilevel local time-stepping methods of Runge–Kutta-type for wave equations. SIAM J. Sci. Comput., 39(5):A2020–A2048, September 2017. URL https://doi.org/10.1137/16M1084407. . [preprint]
Derivation of the Hartree equation for compound Bose gases in the mean field limit. Rev. Math. Phys., 29(7):1750022, 28, August 2017. URL https://doi.org/10.1142/S0129055X17500222. . [preprint]
An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August 2017. URL https://doi.org/10.1007/s00211-016-0859-1. . [preprint]
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 2017. URL https://doi.org/10.1007/s00205-017-1101-8. . [preprint]
Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. Discrete Contin. Dyn. Syst., 37(7):3721–3747, July 2017. URL https://doi.org/10.3934/dcds.2017158. . [preprint]
Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546:274–279, June 2017. URL https://doi.org/10.1038/nature22387. .
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 2017. URL https://doi.org/10.1016/j.camwa.2017.02.043. . [preprint]
Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math., 316:247–259, May 2017. URL https://doi.org/10.1016/j.cam.2016.07.007. Selected Papers from NUMDIFF-14. . [preprint]
Ultrafast dual-comb distance metrology using dissipative Kerr solitons. In Conference on Lasers and Electro-Optics, STh4L.6, May 2017. Optical Society of America. .
Subwavelength focusing of Bloch surface waves. ACS Photonics, 4(6):1477–1483, May 2017. URL https://doi.org/10.1021/acsphotonics.7b00245. .
Thresholds for existence of dispersion management solitons for general nonlinearities. SIAM J. Math. Anal., 49(2):1519–1569, April 2017. URL https://doi.org/10.1137/15M103666X. .
New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. J. Evol. Equ., 17(1):387–409, March 2017. URL https://doi.org/10.1007/s00028-016-0360-4. . [preprint]
Computing the T-matrix of a scattering object with multiple plane wave illuminations. Beilstein J. Nanotechnol., 8:614–626, March 2017. URL https://doi.org/10.3762/bjnano.8.66. .
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February 2017. URL https://doi.org/10.1007/s00211-016-0810-5. . [preprint]
Multidimensional thermoelasticity for nonsimple materials—well-posedness and long-time behavior. Appl. Anal., 96(9):1561–1585, February 2017. URL https://doi.org/10.1080/00036811.2017.1295447. . [preprint]
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 2017. URL https://doi.org/10.1137/16M1066221. . [preprint]
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 2017. . [preprint]
Numerical analysis of parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., 37(1):1–39, January 2017. URL https://doi.org/10.1093/imanum/drw015. . [preprint]
2016
A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. J. Math. Phys., 57(12):122108, 8, December 2016. URL https://doi.org/10.1063/1.4968820. . [preprint]
From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December 2016. URL https://doi.org/10.1002/mma.3922. . [preprint]
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 2016. .
Hybrid 2D/3D photonic integration for non-planar circuit topologies. In European Conference on Optical Communication (ECOC), pages 707–709, December 2016. .
Transverse multipolar light-matter couplings in evanescent waves. Phys. Rev. A, 94(5):053822, November 2016. URL https://doi.org/10.1103/PhysRevA.94.053822. . [preprint]
Error analysis of a second-order locally implicit method for linear Maxwell's equations. SIAM J. Numer. Anal., 54(5):3167–3191, October 2016. URL https://doi.org/10.1137/15M1038037. . [preprint]
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Nonlinear Differ. Equ. Appl., 23(5):article no. 52, October 2016. URL https://doi.org/10.1007/s00030-016-0403-0. . [preprint]
Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration. Appl. Phys. Lett., 109(14):141102, October 2016. URL https://doi.org/10.1063/1.4963862. . [preprint]
Cavity-enhanced and ultrafast superconducting single-photon detectors. Nano Lett., 16(11):7085–7092, October 2016. URL https://doi.org/10.1021/acs.nanolett.6b03344. .
Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. J. Math. Anal. Appl., 442(2):740–760, October 2016. URL https://doi.org/10.1016/j.jmaa.2016.05.014. . [preprint]
Long-term analysis of semilinear wave equations with slowly varying wave speed. Comm. Partial Differential Equations, 41(12):1934–1959, September 2016. URL https://doi.org/10.1080/03605302.2016.1235581. . [preprint]
Optical force and torque on dipolar dual chiral particles. Phys. Rev. B, 94(12):125123, September 2016. URL https://doi.org/10.1103/PhysRevB.94.125123. . [preprint]
Paley–Littlewood decomposition for sectorial operators and interpolation spaces. Math. Nachr., 289(11-12):1488–1525, August 2016. URL https://doi.org/10.1002/mana.201400223. . [preprint]
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409–428, July 2016. URL https://doi.org/10.1515/cmam-2016-0015. . [preprint]
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 2016. . [preprint]
Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June 2016. URL https://doi.org/10.1088/0266-5611/32/8/085001. . [preprint]
On a parabolic-hyperbolic filter for multicolor image noise reduction. Evol. Equ. Control Theory, 5(2):251–272, June 2016. URL https://doi.org/10.3934/eect.2016004. . [preprint]
Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Asymptotic Anal., 98(1-2):91–130, May 2016. URL https://doi.org/10.3233/ASY-161363. . [preprint]
A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. J. Elliptic Parabol. Equ., 2(1):371–387, April 2016. URL https://doi.org/10.1007/BF03377410. . [preprint]
Three-dimensional viscoelastic time-domain finite-difference seismic modelling using the staggered Adams–Bashforth time integrator. Geophys. J. Int., 204(3):1781–1788, March 2016. URL https://doi.org/10.1093/gji/ggv546. .
Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. J. Phys. A, 49(16):165302, 19, March 2016. URL https://doi.org/10.1088/1751-8113/49/16/165302. . [preprint]
Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy. Opt. Express, 24(4):4128–4142, February 2016. URL https://doi.org/10.1364/OE.24.004128. . [preprint]
Parameter estimation of ion current formulations requires hybrid optimization approach to be both accurate and reliable. Front. Bioeng. Biotechnol., 3:209, January 2016. URL https://doi.org/10.3389/fbioe.2015.00209. .
2015
Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, December 2015. URL https://doi.org/10.1364/OE.23.033044. . [preprint]