2025
. Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions. Discrete Contin. Dyn. Syst., 45(9):2969–3008, September 2025. URL https://doi.org/10.3934/dcds.2025009. [preprint]
. On the mathematical foundation of full waveform inversion in viscoelastic vertically transverse isotropic media. Inverse Problems, 41(5):055009, 21, May 2025. URL https://doi.org/10.1088/1361-6420/adcfc0. [preprint]
. The PML-method for a scattering problem for a local perturbation of an open periodic waveguide. Numer. Math., 157(2):717–748, April 2025. URL https://doi.org/10.1007/s00211-025-01456-9.
. Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations. Multiscale Model. Simul., 23(1):278–312, March 2025. URL https://doi.org/10.1137/24M1646303. [preprint] [files]
. 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]
. Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions. Found. Comput. Math., 25(1):303–350, February 2025. URL https://doi.org/10.1007/s10208-024-09639-w. [preprint] [files]
. Computing the interaction of light pulses with objects moving at relativistic speeds. Phys. Rev. Res., 7(1):013132, February 2025. URL https://doi.org/10.1103/PhysRevResearch.7.013132. [preprint] [files]
. Convective stability in scalar balance laws. Differential Integral Equations, 38(1-2):71–110, January 2025. URL https://doi.org/110.57262/die038-0102-71.
. A cyclical fast iterative method for simulating reentries in cardiac electrophysiology using an eikonal-based model. Engineering with Computers, 296–314, January 2025. URL https://doi.org/10.1007/s00366-024-02094-9. Online first.
. An algebraic approach to light–matter interactions. Adv. Phys. Res., 4(1):2400088, 21pp., January 2025. URL https://doi.org/10.1002/apxr.202400088.
. Periodic waveguides revisited: Radiation conditions, limiting absorption principles, and the space of bounded solutions. Math. Methods Appl. Sci., 48(2):2267– 2293, January 2025. URL https://doi.org/10.1002/mma.10435. [preprint]
. Enhancement of the photon pair generation rate by spontaneous four-wave mixing in bent waveguides. Phys. Rev. A, 111(1):013507, January 2025. URL https://doi.org/10.1103/PhysRevA.111.013507.
2024
. Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains. J. Evol. Equ., 24(4):article no. 86, December 2024. URL https://doi.org/10.1007/s00028-024-01015-z.
. The validity of the derivative NLS approximation for systems with cubic nonlinearities. J. Differential Equations, 410:251–277, November 2024. URL https://doi.org/10.1016/j.jde.2024.07.024. [preprint]
. On Gagliardo–Nirenberg inequalities with vanishing symbols. Anal. PDE, 17(10):3447–3476, November 2024. URL https://doi.org/10.2140/apde.2024.17.3447. [preprint]
. 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]
. Time-dependent electromagnetic scattering from dispersive materials. IMA J. Numer. Anal., 1–36, October 2024. URL https://doi.org/10.1093/imanum/drae071. Online first. [preprint] [files]
. Nonlinear subharmonic dynamics of spectrally stable Lugiato–Lefever periodic waves. Comm. Math. Phys., 405(10):227, 31, October 2024. URL https://doi.org/10.1007/s00220-024-05104-5. [preprint]
. Global results for a Cauchy problem related to biharmonic wave maps. Pure and Applied Analysis, 6(3):657–691, October 2024. URL https://doi.org/10.2140/paa.2024.6.657. [preprint]
. Far field operator splitting and completion in inverse medium scattering. Inverse Problems, 40(11):115010, October 2024. URL https://doi.org/10.1088/1361-6420/ad7c77. [preprint] [files]
. A fully parallelized and budgeted multi-level Monte Carlo method and the application to acoustic waves. SIAM/ASA J. Uncertain. Quantif., 12(3):901–931, September 2024. URL https://doi.org/10.1137/23M1588354. [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]
. Super-localized orthogonal decomposition for high-frequency Helmholtz problems. SIAM J. Sci. Comput., 46(4):A2377–A2397, August 2024. URL https://doi.org/10.1137/21M1465950. [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]
. Recent developments in the spectral theory for non self-adjoint Hamiltonians. In S. Machihara, editor, Mathematical Physics and Its Interactions, volume 451 of Springer Proceedings in Mathematics & Statistics, pages 225–253, July 2024. Springer Singapore. [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]
. Approximate mechanical impedance of a thin linear elastic slab. Z. Angew. Math. Phys., 75:120, 19pp., June 2024. URL https://doi.org/10.1007/s00033-024-02239-2. [preprint]
. 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]
. Strichartz estimates for Maxwell equations in media: the partially anisotropic case. Commun. Partial Differ. Equ., 49(4):279–332, April 2024. URL https://doi.org/10.1080/03605302.2024.2341055. [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]
. Separating the material and geometry contribution to the circular dichroism of chiral objects made from chiral media. ACS Photonics, 11(4):1771–1779, April 2024. URL https://doi.org/10.1021/acsphotonics.4c00205. [files]
. Electromagnetic scalar product in spatially bounded domains. Phys. Rev. A, 109(4):043506, April 2024. URL https://doi.org/10.1103/PhysRevA.109.043506.
. On trajectories of complex-valued interior transmission eigenvalues. Inverse Prob. Imaging, 18(2):480–516, April 2024. URL https://doi.org/10.3934/ipi.2023041. [preprint] [files]
. Higher-order finite element methods for the nonlinear Helmholtz equation. J. Sci. Comput., 98(3):article no. 66, March 2024. URL https://doi.org/10.1007/s10915-024-02459-8. [preprint] [files]
. On blowup for the supercritical quadratic wave equation. Anal. PDE, 17(2):617–680, March 2024. URL https://doi.org/10.2140/apde.2024.17.617. [preprint]
. 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]
. Strichartz estimates for Maxwell equations in media: The fully anisotropic case. J. Hyperbolic Differ. Equ., 20(4):917–966, December 2023. URL https://doi.org/10.1142/S0219891623500285. [preprint]
. 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]
. Born-Infeld problem with general nonlinearity. J. Differ. Equ., 370:470–497, October 2023. URL https://doi.org/10.1016/j.jde.2023.06.030. [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]
. Low regularity well-posedness for KP-I equations: the dispersion-generalized case. Nonlinearity, 36(8):4342–4383, July 2023. URL https://doi.org/10.1088/1361-6544/ace1cc. [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]
. Semiclassical analysis of quantum asymptotic fields in the Yukawa theory. J. Differential Equations, 357:236–274, June 2023. URL https://10.1016/j.jde.2023.01.037. [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):10698–10718, 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
. Large-stepsize integrators for charged-particle dynamics over multiple time scales. Numer. Math., 151(3):659–691, 2022. URL https://doi.org/10.1007/s00211-022-01298-9.
. 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]
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. 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]