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]
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. 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]