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Publications

2020

  1. , , and . 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 . URL https://doi.org/10.1016/j.jmaa.2020.124141. [preprint] [bibtex]

  2. . The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. NoDEA Nonlinear Differential Equations Appl., 27:40, July . URL https://doi.org/10.1007/s00030-020-00642-y. [preprint] [bibtex]

  3. , , and . On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 1–28, May . URL https://doi.org/10.1007/s00211-020-01120-4. Online first. [preprint] [bibtex]

  4. , , , , and . Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May . URL https://doi.org/10.1103/PhysRevB.101.195411. [preprint] [bibtex]

  5. and . Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1–46, April . URL https://doi.org/10.1093/imanum/drz073. Online first. [preprint] [bibtex]

  6. and . The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 1–27, April . URL https://doi.org/10.1016/j.camwa.2020.03.004. Online first. [preprint] [bibtex]

  7. , , , , and . The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April . URL https://doi.org/10.3389/fphar.2020.00516. [bibtex]

  8. , , and . Threshold for blowup for the supercritical cubic wave equation. Nonlinearity, 33(5):2143–2158, March . URL https://doi.org/10.1088/1361-6544/ab6f4d. [preprint] [bibtex]

  9. , , , and . Biharmonic wave maps: local wellposedness in high regularity. Nonlinearity, 33(5):2270–2305, March . URL https://doi.org/10.1088/1361-6544/ab73ce. [preprint] [bibtex]

  10. and . Boundary stabilization of quasilinear Maxwell equations. J. Differential Equations, 268(2):784–812, January . URL https://doi.org/10.1016/j.jde.2019.08.032. [preprint] [bibtex]

  11. and . Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January . URL https://doi.org/10.1515/anona-2020-0040. [preprint] [bibtex]

  12. , , and . Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 1–20, January . URL https://doi.org/10.1093/imanum/drz050. Online first. [preprint] [bibtex]

  13. , , , , , , , , , , , , , and . 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 . URL https://doi.org/10.3389/fphar.2019.01632. [bibtex]

  14. and . Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 1–24, January . URL https://doi.org/10.1007/s10543-019-00799-8. Online first. [preprint] [bibtex]

  15. , , , , , , and . Superconducting-nanowire single-photon spectrometer exploiting cascaded photonic crystal cavities. Phys. Rev. Applied, 13(1):014061, January . URL https://doi.org/10.1103/PhysRevApplied.13.014061. [preprint] [bibtex]

  16. . A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, . URL https://doi.org/10.1088/1361-6420/ab5819. [preprint] [bibtex]

2019

  1. and . Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 1–72, December . URL https://doi.org/10.1007/s00205-019-01475-5. Online first. [preprint] [bibtex]

  2. and . Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. SIAM J. Appl. Math., 79(6):2639–2662, December . URL https://doi.org/10.1137/19M1269403. Online first. [preprint] [bibtex]

  3. and . The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 1–9, December . URL https://doi.org/10.1017/S0017089519000491. Online first. [preprint] [bibtex]

  4. , , and . 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 . Online first. [preprint] [bibtex]

  5. , , and . Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 1–36, November . URL https://doi.org/10.1007/s00205-019-01469-3. [preprint] [bibtex]

  6. , , and . On a Kelvin–Voigt viscoelastic wave equation with strong delay. SIAM J. Math. Anal., 51(6):4382–4412, November . URL https://doi.org/10.1137/18M1219308. [preprint] [bibtex]

  7. . A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November . URL https://doi.org/10.3390/sym11111427. [bibtex]

  8. and . Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 1–24, November . URL https://doi.org/10.1007/s00211-019-01085-z. Online first. [preprint] [bibtex]

  9. and . Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October . URL https://doi.org/10.1093/imanum/dry045. [preprint] [bibtex]

  10. , , and . Exponential decay of quasilinear Maxwell equations with interior conductivity. NoDEA Nonlinear Differential Equations Appl., 26(6):Paper No. 51, October . URL https://doi.org/10.1007/s00030-019-0595-1. Online first. [preprint] [bibtex]

  11. , , and . Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October . URL https://doi.org/10.1137/18M1234072. [preprint] [bibtex]

  12. and . A space-time discontinuousa 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 . [preprint] [bibtex]

  13. , , , and . 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 . [preprint] [bibtex]

  14. , , , and . Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September . URL https://doi.org/10.1007/s10884-019-09791-w. Online first. [preprint] [bibtex]

  15. , , , , , and . Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September . URL https://doi.org/10.1103/PhysRevA.100.033819. [preprint] [bibtex]

  16. , , , and . Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September . URL https://doi.org/10.1007/s00028-019-00501-z. [preprint] [bibtex]

  17. , , and . Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September . URL https://doi.org/10.1016/j.na.2019.02.019. [preprint] [bibtex]

  18. , , , and . Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September . URL https://doi.org/10.1137/19M1249679. [preprint] [bibtex]

  19. , , and . Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 112494, September . URL https://doi.org/10.1016/j.cam.2019.112494. Online first, in press. [preprint] [bibtex]

  20. . Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August . URL https://doi.org/10.1515/ans-2019-2050. [preprint] [bibtex]

  21. , , , and . Homogenization of wire media with a general purpose nonlocal constitutive relation. J. Opt. Soc. Am. B, 36(8):F99–F108, August . URL https://doi.org/10.1364/JOSAB.36.000F99. [bibtex]

  22. , , and . Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August . URL https://doi.org/10.1090/proc/14744. [preprint] [bibtex]

  23. , , and . Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August . URL https://doi.org/10.1007/s00440-018-0882-5. [preprint] [bibtex]

  24. . NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August . URL https://doi.org/10.1007/s00041-018-09655-9. [preprint] [bibtex]

  25. , , , , , , , , , , , and . Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., July . URL https://doi.org/10.1016/j.bpj.2019.07.037. Online first, in press. [bibtex]

  26. , , , and . Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July . URL https://doi.org/10.1088/1361-6420/ab10cb. [preprint] [bibtex]

  27. and . 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 . URL https://doi.org/10.1016/j.jmaa.2019.02.042. [preprint] [bibtex]

  28. and . Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July . URL https://doi.org/10.1515/cmam-2018-0190. [preprint] [bibtex]

  29. and . Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July . URL https://doi.org/10.1093/imanum/dry033. [preprint] [bibtex]

  30. , , and . Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July . URL https://doi.org/10.1093/imanum/dry036. [preprint] [bibtex]

  31. . Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June . URL https://doi.org/10.12775/TMNA.2019.025. [preprint] [bibtex]

  32. . The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June . URL https://doi.org/10.1007/s00220-019-03363-1. [preprint] [bibtex]

  33. , , and . On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June . URL https://doi.org/10.1112/jlms.12196. [preprint] [bibtex]

  34. , , , , , , , , , and . Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June . URL https://doi.org/10.1364/OE.27.017402. [bibtex]

  35. and . Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June . URL https://doi.org/10.1137/18M122844X. [preprint] [bibtex]

  36. . Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June . URL https://doi.org/10.1007/s00233-019-10016-1. [preprint] [bibtex]

  37. , , and . Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 1–53, May . URL https://doi.org/10.1007/s40072-019-00141-x. [preprint] [bibtex]

  38. , , and . Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May . URL https://doi.org/10.1137/18M1203377. [preprint] [bibtex]

  39. . Numerical approximation of planar oblique derivative problems in nondivergence form. Math. Comp., 88(317):1091–1119, May . URL https://doi.org/10.1090/mcom/3371. [preprint] [bibtex]

  40. and . Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May . URL https://doi.org/10.1090/mcom/3365. [preprint] [bibtex]

  41. . Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differential Equations, 266(8):5012–5063, April . URL https://doi.org/10.1016/j.jde.2018.10.019. [preprint] [bibtex]

  42. and . Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March . URL https://doi.org/10.1088/1361-6544/aaf59d. [preprint] [bibtex]

  43. , , , , and . Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March . URL https://doi.org/10.1090/mcom/3339. [preprint] [bibtex]

  44. , , , and . Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February . URL https://doi.org/10.1103/PhysRevB.99.075401. [preprint] [bibtex]

  45. and . 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 . [bibtex]

  46. and . 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 . URL https://doi.org/10.1137/18M1177184. [preprint] [bibtex]

  47. , , and . 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 . URL https://doi.org/10.1111/1365-2478.12728. [bibtex]

  48. . Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February . URL https://doi.org/10.1007/s11118-018-9683-9. [preprint] [bibtex]

  49. and . Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February . URL https://doi.org/10.1016/j.aml.2018.08.021. [bibtex]

  50. , , and . Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January . URL https://doi.org/10.1002/adom.201800783. [bibtex]

  51. , , , and . Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January . URL https://doi.org/10.1103/PhysRevB.99.035442. [bibtex]

  52. . An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January . URL https://doi.org/10.1093/imanum/drx064. [preprint] [bibtex]

  53. , , , , , , and . Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January . URL https://doi.org/10.3389/fphys.2018.01910. [bibtex]

  54. , , and . Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January . URL https://doi.org/10.1093/gji/ggy432. [bibtex]

  55. and . 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 . Springer International Publishing. [bibtex]

  56. . Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January . URL https://doi.org/10.1090/mcom/3327. [preprint] [bibtex]

2018

  1. , , , and . 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 . URL https://doi.org/10.1016/j.jappgeo.2018.09.037. [bibtex]

  2. and . Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December . URL https://doi.org/10.1112/blms.12212. [preprint] [bibtex]

  3. and . Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November . URL https://doi.org/10.3233/asy-181480. [preprint] [bibtex]

  4. , , , and . Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November . URL https://doi.org/10.1088/1361-6420/aadc2a. [preprint] [bibtex]

  5. , , , , , , and . Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November . URL https://doi.org/10.1093/europace/euy231. [bibtex]

  6. , , , and . Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November . URL https://doi.org/10.1007/s00220-018-3263-0. [preprint] [bibtex]

  7. and . Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November . URL https://doi.org/10.3934/dcds.2018248. [preprint] [bibtex]

  8. , , , and . Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differential Equations, 265(8):3311–3338, October . URL https://doi.org/10.1016/j.jde.2017.08.028. [preprint] [bibtex]

  9. , , , , , and . 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 . URL https://doi.org/10.1109/TBME.2018.2794321. [bibtex]

  10. . Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September . URL https://doi.org/10.1007/s00028-018-0448-0. [preprint] [bibtex]

  11. , , , , , and . Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September . URL https://doi.org/10.1103/PhysRevB.98.115409. [bibtex]

  12. , , , , , , , and . A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September . URL https://doi.org/10.3389/fphys.2018.01251. [bibtex]

  13. . The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September . URL https://doi.org/10.1007/s00028-018-0433-7. [preprint] [bibtex]

  14. , , , , , , , , , , , , and . Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July . URL https://doi.org/10.1364/optica.5.000876. [bibtex]

  15. and . 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 . URL https://doi.org/10.1002/mma.4879. [preprint] [bibtex]

  16. , , , , , , , , and . 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 . URL https://doi.org/10.1016/j.jacep.2018.03.007. [bibtex]

  17. and . Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June . URL https://doi.org/10.1007/s10208-017-9352-1. [preprint] [bibtex]

  18. and . 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 . [preprint] [bibtex]

  19. , , and . Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June . URL https://doi.org/10.1137/16M108286X. [preprint] [bibtex]

  20. and . Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June . URL https://doi.org/10.1007/s00209-017-1957-1. [bibtex]

  21. , , , , , , , and . 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 . URL https://doi.org/10.1364/JOSAA.35.001063. [bibtex]

  22. , , and . Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May . URL https://doi.org/10.1090/mcom/3263. [preprint] [bibtex]

  23. , , , , , , and . Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May . URL https://doi.org/10.1364/OPTICA.5.000658. [bibtex]

  24. and . The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, May . URL https://doi.org/10.1137/17M1118920. [preprint] [bibtex]

  25. , , and . Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April . URL https://doi.org/10.1137/17M1121925. [preprint] [bibtex]

  26. , , , , , , , , , , , , and . In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April . URL https://doi.org/10.1038/s41566-018-0133-4. [bibtex]

  27. and . Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April . URL https://doi.org/10.1007/s00211-017-0926-2. [preprint] [bibtex]

  28. , , and . Asymptotic consistent exponential-type integrators for Klein–Gordon–Schrödinger systems from relativistic to non-relativistic regimes. Electron. Trans. Numer. Anal., 48:63–80, March . URL https://doi.org/10.1553/etna_vol48s63. [bibtex]

  29. and . Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March . URL https://doi.org/10.1007/s00030-018-0504-z. [preprint] [bibtex]

  30. , , and . Blow-up for nonlinear Maxwell equations. Electron. J. Differential Equations, Paper No. 73, 9, March . URL https://ejde.math.txstate.edu/Volumes/2018/73/abstr.html. [preprint] [bibtex]

  31. , , and . Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March . URL https://doi.org/10.1007/s00211-017-0914-6. [preprint] [bibtex]

  32. and . Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numer. Math., 138(2):365–388, February . URL https://doi.org/10.1007/s00211-017-0909-3. [preprint] [bibtex]

  33. , , , , , , , , , , , , and . Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February . URL https://doi.org/10.1126/science.aao3924. [bibtex]

  34. , , , , and . Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February . URL https://doi.org/10.7153/oam-2019-13-21. [preprint] [bibtex]

  35. , , , and . Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Inverse Problems, 34(1):014002, 25, January . URL https://doi.org/10.1088/1361-6420/aa9900. [preprint] [bibtex]

  36. , , , and . The definition and measurement of electromagnetic chirality. Math. Methods Appl. Sci., 41(2):559–572, January . URL https://doi.org/10.1002/mma.4628. [preprint] [bibtex]

  37. , , , , and . Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. IMA J. Numer. Anal., 38(1):57–74, January . URL https://doi.org/10.1093/imanum/drx007. [preprint] [bibtex]

2017

  1. , , , and . 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 . Probabilistic methods and operator theory. [bibtex]

  2. and . 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 . URL https://doi.org/10.3389/fphys.2017.01113. [bibtex]

  3. , , , and . 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 . URL https://doi.org/10.3934/krm.2017036. [preprint] [bibtex]

  4. and . 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 . [preprint] [bibtex]

  5. . Freezing similarity solutions in the multi-dimensional Burgers equation. Nonlinearity, 30(12):4558–4586, November . URL https://doi.org/10.1088/1361-6544/aa89d5. [preprint] [bibtex]

  6. , , , and . Dispersion managed solitons in the presence of saturated nonlinearity. Phys. D, 356-357:65–69, November . URL https://doi.org/10.1016/j.physd.2017.06.004. [preprint] [bibtex]

  7. , , and . Strang splitting for a semilinear Schrödinger equation with damping and forcing. J. Math. Anal. Appl., 455(2):1051–1071, November . URL https://doi.org/10.1016/j.jmaa.2017.06.004. [preprint] [bibtex]

  8. and . Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October . URL https://doi.org/10.1093/imanum/drw059. [preprint] [bibtex]

  9. , , and . Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. J. Math. Phys., 58(10):101513, 43, October . URL https://doi.org/10.1063/1.5004253. [preprint] [bibtex]

  10. , , and . Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October . URL https://doi.org/10.1007/s00033-017-0859-8. [preprint] [bibtex]

  11. , , , and . 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 . URL https://doi.org/10.1016/j.jde.2017.04.020. [preprint] [bibtex]

  12. and . Spectrum of a singularly perturbed periodic thin waveguide. J. Math. Anal. Appl., 454(2):673–694, October . URL https://doi.org/10.1016/j.jmaa.2017.05.012. [preprint] [bibtex]

  13. and . Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. Z. Anal. Anwend., 36(4):419–435, October . URL https://doi.org/10.4171/ZAA/1595. [preprint] [bibtex]

  14. , , and . Stable foliations near a traveling front for reaction diffusion systems. Discrete Contin. Dyn. Syst. Ser. B, 22(8):3145–3165, October . URL https://doi.org/10.3934/dcdsb.2017168. [preprint] [bibtex]

  15. and . Multilevel local time-stepping methods of Runge–Kutta-type for wave equations. SIAM J. Sci. Comput., 39(5):A2020–A2048, September . URL https://doi.org/10.1137/16M1084407. [preprint] [bibtex]

  16. and . Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 137(1):91–117, September . URL https://doi.org/10.1007/s00211-017-0868-8. [preprint] [bibtex]

  17. , , and . Derivation of the Hartree equation for compound Bose gases in the mean field limit. Rev. Math. Phys., 29(7):1750022, 28, August . URL https://doi.org/10.1142/S0129055X17500222. [preprint] [bibtex]

  18. , , , and . 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 . URL https://doi.org/10.1007/s00205-017-1101-8. [preprint] [bibtex]

  19. and . An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August . URL https://doi.org/10.1007/s00211-016-0859-1. [preprint] [bibtex]

  20. and . Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. Discrete Contin. Dyn. Syst., 37(7):3721–3747, July . URL https://doi.org/10.3934/dcds.2017158. [preprint] [bibtex]

  21. , , , , , , , , , , , , , , and . Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546:274–279, June . URL https://doi.org/10.1038/nature22387. [bibtex]

  22. and . Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math., 316:247–259, May . URL https://doi.org/10.1016/j.cam.2016.07.007. Selected Papers from NUMDIFF-14. [preprint] [bibtex]

  23. , , , , , , , , , , , and . Ultrafast dual-comb distance metrology using dissipative Kerr solitons. In Conference on Lasers and Electro-Optics, STh4L.6, May . Optical Society of America. [bibtex]

  24. , , and . 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 . URL https://doi.org/10.1016/j.camwa.2017.02.043. [preprint] [bibtex]

  25. , , , , , , , , , and . Subwavelength focusing of Bloch surface waves. ACS Photonics, 4(6):1477–1483, May . URL https://doi.org/10.1021/acsphotonics.7b00245. [bibtex]

  26. , , and . Thresholds for existence of dispersion management solitons for general nonlinearities. SIAM J. Math. Anal., 49(2):1519–1569, April . URL https://doi.org/10.1137/15M103666X. [bibtex]

  27. and . New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. J. Evol. Equ., 17(1):387–409, March . URL https://doi.org/10.1007/s00028-016-0360-4. [preprint] [bibtex]

  28. , , , and . Computing the T-matrix of a scattering object with multiple plane wave illuminations. Beilstein J. Nanotechnol., 8:614–626, March . URL https://doi.org/10.3762/bjnano.8.66. [bibtex]

  29. and . 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 . URL https://doi.org/10.1137/16M1066221. [preprint] [bibtex]

  30. , , and . 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 . [preprint] [bibtex]

  31. and . Multidimensional thermoelasticity for nonsimple materials—well-posedness and long-time behavior. Appl. Anal., 96(9):1561–1585, February . URL https://doi.org/10.1080/00036811.2017.1295447. [preprint] [bibtex]

  32. and . Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February . URL https://doi.org/10.1007/s00211-016-0810-5. [preprint] [bibtex]

  33. and . Numerical analysis of parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., 37(1):1–39, January . URL https://doi.org/10.1093/imanum/drw015. [preprint] [bibtex]

2016

  1. and . A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. J. Math. Phys., 57(12):122108, 8, December . URL https://doi.org/10.1063/1.4968820. [preprint] [bibtex]

  2. , , and . From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December . URL https://doi.org/10.1002/mma.3922. [preprint] [bibtex]

  3. , , , , , , and . Hybrid 2D/3D photonic integration for non-planar circuit topologies. In European Conference on Optical Communication (ECOC), pages 707–709, December . [bibtex]

  4. , , , , , , , , , and . 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 . [bibtex]

  5. , , , and . Transverse multipolar light-matter couplings in evanescent waves. Phys. Rev. A, 94(5):053822, November . URL https://doi.org/10.1103/PhysRevA.94.053822. [preprint] [bibtex]

  6. , , , , , , , , , , and . Cavity-enhanced and ultrafast superconducting single-photon detectors. Nano Lett., 16(11):7085–7092, October . URL https://doi.org/10.1021/acs.nanolett.6b03344. [bibtex]

  7. , , , and . Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration. Appl. Phys. Lett., 109(14):141102, October . URL https://doi.org/10.1063/1.4963862. [preprint] [bibtex]

  8. , , , and . Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. NoDEA Nonlinear Differential Equations Appl., 23(5):Art. 52, 34, October . URL https://doi.org/10.1007/s00030-016-0403-0. [preprint] [bibtex]

  9. and . Error analysis of a second-order locally implicit method for linear Maxwell's equations. SIAM J. Numer. Anal., 54(5):3167–3191, October . URL https://doi.org/10.1137/15M1038037. [preprint] [bibtex]

  10. , , , , and . Optical force and torque on dipolar dual chiral particles. Phys. Rev. B, 94(12):125123, September . URL https://doi.org/10.1103/PhysRevB.94.125123. [preprint] [bibtex]

  11. , , and . Long-term analysis of semilinear wave equations with slowly varying wave speed. Comm. Partial Differential Equations, 41(12):1934–1959, September . URL https://doi.org/10.1080/03605302.2016.1235581. [preprint] [bibtex]

  12. and . Paley–Littlewood decomposition for sectorial operators and interpolation spaces. Math. Nachr., 289(11-12):1488–1525, August . URL https://doi.org/10.1002/mana.201400223. [preprint] [bibtex]

  13. , , and . Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409–428, July . URL https://doi.org/10.1515/cmam-2016-0015. [preprint] [bibtex]

  14. , , , , , , , , , , , , , and . 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 . [preprint] [bibtex]

  15. and . Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June . URL https://doi.org/10.1088/0266-5611/32/8/085001. [preprint] [bibtex]

  16. and . On a parabolic-hyperbolic filter for multicolor image noise reduction. Evol. Equ. Control The., 5(2):251–272, June . URL https://doi.org/10.3934/eect.2016004. [preprint] [bibtex]

  17. and . Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Asymptotic Anal., 98(1-2):91–130, May . URL https://doi.org/10.3233/ASY-161363. [preprint] [bibtex]

  18. and . A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. J. Elliptic Parabol. Equ., 2(1):371–387, April . URL https://doi.org/10.1007/BF03377410. [preprint] [bibtex]

  19. and . Three-dimensional viscoelastic time-domain finite-difference seismic modelling using the staggered Adams–Bashforth time integrator. Geophys. J. Int., 204(3):1781–1788, March . URL https://doi.org/10.1093/gji/ggv546. [bibtex]

  20. , , , and . Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. J. Phys. A, 49(16):165302, 19, March . URL https://doi.org/10.1088/1751-8113/49/16/165302. [preprint] [bibtex]

  21. , , , , , , , , , and . Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy. Opt. Express, 24(4):4128–4142, February . URL https://doi.org/10.1364/OE.24.004128. [preprint] [bibtex]

  22. , , , , , , , , and . Parameter estimation of ion current formulations requires hybrid optimization approach to be both accurate and reliable. Front. Bioeng. Biotechnol., 3:209, January . URL https://doi.org/10.3389/fbioe.2015.00209. [bibtex]

2015

  1. , , , and . Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, 12 . URL https://doi.org/10.1364/OE.23.033044. [preprint] [bibtex]