2022
Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 1–23, April 2022. URL https://doi.org/10.1090/mcom/3736. Online first. . [preprint]
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]
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]
Interpolation of a regular subspace complementing the span of a radially singular function. Studia Math., 1–14, March 2022. URL https://doi.org/10.4064/sm210621-12-8. Online first. . [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]
Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 1–24, March 2022. URL https://doi.org/10.1615/Int.J.UncertaintyQuantification.2022039345. Online first. . [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]
Resolvent estimates for the 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]
Multiscale scattering in nonlinear Kerr-type media. Math. Comp., 1–31, February 2022. URL https://doi.org/10.1090/mcom/3722. Online first. . [preprint]
A scattering problem for a local pertubation of an open periodic waveguide. Math. Methods Appl. Sci., 1–37, February 2022. URL https://doi.org/10.1002/mma.8137. Online first. . [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]
A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 1–26, January 2022. URL https://doi.org/10.1007/s10543-021-00907-7. Online first. . [preprint]
2021
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. .
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]
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]
Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces. Ann. Henri Poincaré, 415–445, December 2021. URL https://doi.org/10.1007/s00023-021-01144-y. Online first. . [preprint] [files]
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. .
Least energy solutions to a cooperative system of Schrödinger equations with prescribed $L^2$-bounds: at least $L^2$-critical growth. Calc. Var. Partial Differ. Equ., 61(1):10, November 2021. URL https://doi.org/10.1007/s00526-021-02116-0. . [preprint]
Error analysis for space discretizations of quasilinear wave-type equations. IMA J. Numer. Anal., drab073, November 2021. URL https://doi.org/10.1093/imanum/drab073. . [preprint] [files]
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]
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]
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]
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. .
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]
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. .
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]
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]
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]
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]
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]
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]
Non-Newtonian two-phase thin-film problem: local existence, uniqueness, and stability. Comm. Partial Differential Equations, 1–36, August 2021. URL https://doi.org/10.1080/03605302.2021.1957929. Online first. . [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]
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]
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. .
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. .
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]
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]
Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity. Calc. Var. Partial Differ. Equ., 6(4):133, June 2021. URL https://doi.org/10.1007/s00526-021-02006-5. . [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. .
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]
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]
An unconventional robust integrator for dynamical low-rank approximation. BIT, 591–614, May 2021. URL https://doi.org/10.1007/s10543-021-00873-0. Online first. . [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]
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]
General class of optimal Sobolev inequalities and nonlinear scalar field equations. J. Differ. Equ., 281:411–441, April 2021. URL https://doi.org/10.1016/j.jde.2021.02.015. . [preprint]
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. .
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Evol. Equ. Control Theory, 10(1):155–198, March 2021. URL https://doi.org/10.3934/eect.2020061. . [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]
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]
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]
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]
An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. Math. Methods Appl. Sci., 1–13, February 2021. URL https://doi.org/10.1002/mma.7190. Online first. . [preprint]
Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February 2021. URL https://doi.org/10.1137/20M1321838. . [preprint]
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. .
The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. J. Dyn. Diff. Equat., 1–27, January 2021. URL https://doi.org/10.1007/s10884-021-09943-x. Online first. . [preprint]
On the global well-posedness of the quadratic NLS on $L^2(\mathbb{R})+H^1(\mathbb{T})$. NoDEA Nonlinear Differential Equations Appl., 28(2):11–28, January 2021. URL https://doi.org/10.1007/s00030-020-00670-8. . [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. .
Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 147(4):997–1000, 2021. URL https://doi.org/10.1007/s00211-021-01196-6. .
2020
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]
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]
On enhanced sensing of chiral molecules in optical cavities. Appl. Phys. Rev., 7(4):041413, December 2020. URL https://doi.org/10.1063/5.0025006. .
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]
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]
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. .
W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors. Mathematics of Wave Phenomena, Trends in Mathematics, 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. .
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. .
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]
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. .
An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. Math. Ann., 1–43, October 2020. URL https://doi.org/10.1007/s00208-020-02093-3. Online first. . [preprint]
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]
Consequences of using an orthotropic stress tensor for left ventricular systole. In 2020 Computing in Cardiology (CinC), pages 1–4, Rimini, Italy, September 2020. .
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]
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]
On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August 2020. URL https://doi.org/10.1137/18M1209453. . [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]
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 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. NoDEA Nonlinear Differential Equations Appl., 27:40, July 2020. URL https://doi.org/10.1007/s00030-020-00642-y. . [preprint]
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]
Inverse design of nanophotonic devices with structural integrity. ACS Photonics, 7(8):2190–2196, July 2020. URL https://doi.org/10.1021/acsphotonics.0c00699. .
Random objective waveform inversion of surface waves. Geophysics, 85(4):1JA–Z18, July 2020. URL https://doi.org/10.1190/GEO2019-0613.1. .
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]
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]
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. .
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]
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]
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]
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Math. Comp., 1–46, May 2020. URL https://doi.org/10.1090/mcom/3597. Online first. . [preprint]
The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 1–27, April 2020. URL https://doi.org/10.1016/j.camwa.2020.03.004. Online first. . [preprint]
Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. ZAMM Z. Angew. Math. Mech., 100(6):e201900230, April 2020. URL https://doi.org/10.1002/zamm.201900230. . [preprint]
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. .
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]
Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1–46, April 2020. URL https://doi.org/10.1093/imanum/drz073. Online first. . [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]
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]
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]
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]
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]
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. .
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]
Boundary stabilization of quasilinear Maxwell equations. J. Differ. Equ., 268(2):784–812, January 2020. URL https://doi.org/10.1016/j.jde.2019.08.032. . [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]
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]
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]
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. .
2019
Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 1–72, December 2019. URL https://doi.org/10.1007/s00205-019-01475-5. Online first. . [preprint]
The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 1–9, December 2019. URL https://doi.org/10.1017/S0017089519000491. Online first. . [preprint]
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]
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. .
A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November 2019. URL https://doi.org/10.3390/sym11111427. .
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. Online first. . [preprint]
Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 1–24, November 2019. URL https://doi.org/10.1007/s00211-019-01085-z. Online first. . [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]
Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October 2019. URL https://doi.org/10.1137/18M1234072. . [preprint]
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]
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]
Exponential decay of quasilinear Maxwell equations with interior conductivity. NoDEA Nonlinear Differential Equations Appl., 26(6):Paper No. 51, October 2019. URL https://doi.org/10.1007/s00030-019-0595-1. Online first. . [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]
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]
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]
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]
Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September 2019. URL https://doi.org/10.1007/s10884-019-09791-w. Online first. . [preprint]
Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 112494, September 2019. URL https://doi.org/10.1016/j.cam.2019.112494. Online first, in press. . [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]
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]
Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August 2019. URL https://doi.org/10.1090/proc/14744. . [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. .
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]
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]
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]
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]
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]
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]
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]
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]
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]
Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June 2019. URL https://doi.org/10.1364/OE.27.017402. .
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]
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]
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]
Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 1–53, May 2019. URL https://doi.org/10.1007/s40072-019-00141-x. . [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. Differ. Equ., 266(8):5012–5063, April 2019. URL https://doi.org/10.1016/j.jde.2018.10.019. . [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]
Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March 2019. URL https://doi.org/10.1090/mcom/3339. . [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]
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]
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. .
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. .
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. .
Observation guided systematic reduction of a detailed human ventricular cell model. In 2019 Computing in Cardiology (CinC), volume 46, pages 1–4, 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]
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. .
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]
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]
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. .
Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January 2019. URL https://doi.org/10.1002/adom.201800783. .
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]
2018
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]
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. .
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]
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]
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]
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]
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. .
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. .
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. .
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differ. Equ., 265(8):3311–3338, October 2018. URL https://doi.org/10.1016/j.jde.2017.08.028. . [preprint]
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. .
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. .
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]
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. .
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]
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. .
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. .
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]
The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, May 2018. URL https://doi.org/10.1137/17M1118920. . [preprint]
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]
Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March 2018. URL https://doi.org/10.1007/s00030-018-0504-z. . [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]
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]
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 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]
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]
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. .
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. .
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]
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]
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]
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]
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]
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]
Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October 2017. URL https://doi.org/10.1007/s00033-017-0859-8. . [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. Differ. Equ., 263(8):4429–4441, October 2017. URL https://doi.org/10.1016/j.jde.2017.04.020. . [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]
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]
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]
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]
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]
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]
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]
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]
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]
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. .
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. .
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]
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. .
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]
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]
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]
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]
Hybrid 2D/3D photonic integration for non-planar circuit topologies. In European Conference on Optical Communication (ECOC), pages 707–709, December 2016. .
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. .
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]
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]
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. .
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]
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. NoDEA Nonlinear Differential Equations Appl., 23(5):Art. 52, 34, October 2016. URL https://doi.org/10.1007/s00030-016-0403-0. . [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]
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]
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]
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]