# Publications

## 2022

1. and . Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 1–23, April . Online first. [preprint] [bibtex]

2. . Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., 42(2):1313–1338, April . [preprint] [files] [bibtex]

3. . On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. J. Funct. Anal., 282(15):109352, March . [preprint] [bibtex]

4. . Interpolation of a regular subspace complementing the span of a radially singular function. Studia Math., 1–14, March . Online first. [preprint] [bibtex]

5. and . 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 . [preprint] [files] [bibtex]

6. and . Global Strichartz estimates for an inhomogeneous Maxwell system. Commun. Partial Differ. Equ., 47(3):630–675, March . [preprint] [bibtex]

7. and . An offline-online strategy for multiscale problems with random defects. ESAIM Math. Model. Numer. Anal., 56(1):237–260, March . [preprint] [files] [bibtex]

8. , , , and . Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 1–24, March . Online first. [preprint] [files] [bibtex]

9. and . Multidimensional measures of electromagnetic chirality and their conformal invariance. New J. Phys., 24:033022, March . [preprint] [bibtex]

10. . Resolvent estimates for the time-harmonic Maxwell's equations in the partially anisotropic case. J. Fourier Anal. Appl., 28(2):16, February . [preprint] [bibtex]

11. . Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. J. Math. Anal. Appl., 506(1):125646, February . [preprint] [bibtex]

12. and . Breather solutions for a quasi-linear $(1+1)$-dimensional wave equation. Stud. Appl. Math., 148(2):689–714, February . [preprint] [bibtex]

13. and . Multiscale scattering in nonlinear Kerr-type media. Math. Comp., 1–31, February . Online first. [preprint] [bibtex]

14. . A scattering problem for a local pertubation of an open periodic waveguide. Math. Methods Appl. Sci., 1–37, February . Online first. [preprint] [bibtex]

15. , , and . Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. IMA J. Numer. Anal., 42(1):1–26, January . [preprint] [bibtex]

16. , , and . A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 1–26, January . Online first. [preprint] [bibtex]

## 2021

1. , , , and . Der Kodex „Leitlinien zur Sicherung guter wissenschaftlicher Praxis“ der DFG. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):239–242, December . [bibtex]

2. and . A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. J. Funct. Anal., 281(11):109233, December . [preprint] [bibtex]

3. , , , and . Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. SIAM J. Numer. Anal., 19(4):1857–1884, December . [preprint] [files] [bibtex]

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

5. and . 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 . Online first. [preprint] [files] [bibtex]

6. and . Low regularity well-posedness for generalized Benjamin–Ono equations on the circle. J. Hyperbolic Differ. Equ., 18(4):931–984, December . [preprint] [bibtex]

7. and . Erfahrungen bei den Lernbrücken in Karlsruhe 2021. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):234–235, December . [bibtex]

8. and . 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 . [preprint] [bibtex]

9. and . Error analysis for space discretizations of quasilinear wave-type equations. IMA J. Numer. Anal., drab073, November . [preprint] [files] [bibtex]

10. and . Co-dimension one stable blowup for the supercritical cubic wave equation. Adv. Math., 390:107930, October . [preprint] [bibtex]

11. , , , , and . Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Phys. Let. A, 412(19):127570, October . [preprint] [bibtex]

12. , , and . Unconditional uniqueness of higher order nonlinear Schrödinger equations. Czechoslovak Math. J., 71(3):709–742, October . [preprint] [bibtex]

13. . 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 . [bibtex]

14. , , , , , and . Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver. Comput. Math. Appl., 100:126–140, October . [preprint] [bibtex]

15. , , and . Artificial neural networks used to retrieve effective properties of metamaterials. Opt. Express, 29(22):36072–36085, October . [bibtex]

16. and . 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 . [preprint] [bibtex]

17. , , and . Maximizing the electromagnetic chirality of thin dielectric tubes. SIAM J. Appl. Math., 81(5):1979–2006, September . [preprint] [bibtex]

18. and . On the global wellposedness of the Klein–Gordon equation for initial data in modulation spaces. Proc. Amer. Math. Soc., 149(9):3849–3861, September . [preprint] [bibtex]

19. and . Convergence of adaptive stochastic collocation with finite elements. Comput. Math. Appl., 98:139–156, September . [preprint] [bibtex]

20. and . Recurrent neural networks as optimal mesh refinement strategies. Comput. Math. Appl., 97:61–76, September . [preprint] [bibtex]

21. . Numerical methods for scattering problems in periodic waveguides. Numer. Math., 148(4):959–996, August . [preprint] [bibtex]

22. , , and . Non-Newtonian two-phase thin-film problem: local existence, uniqueness, and stability. Comm. Partial Differential Equations, 1–36, August . Online first. [preprint] [bibtex]

23. , , and . Nonlinear scalar field equation with competing nonlocal terms. Nonlinearity, 34(8):5687–5707, July . [preprint] [bibtex]

24. and . Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. Inverse Problems, 37(8):085011, 17, July . [preprint] [bibtex]

25. , , , , , and . Causes of altered ventricular mechanics in hypertrophic cardiomyopathy: an in-silico study. BioMed. Eng. OnLine, 20:69, July . [bibtex]

26. . Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law. Nonlinearity, 34(8):5538–5575, July . [bibtex]

27. and . Variational methods for breather solutions of nonlinear wave equations. Nonlinearity, 34(6):3618–3640, June . [preprint] [bibtex]

28. , , , and . On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. Nonlinearity, 34(7):4844–4896, June . [preprint] [bibtex]

29. , , and . Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity. Calc. Var. Partial Differ. Equ., 6(4):133, June . [preprint] [bibtex]

30. , , , , , and . Lower limits for the homogenization of periodic metamaterials made from electric dipolar scatterers. Phys. Rev. B, 103(19):195425, May . [preprint] [bibtex]

31. , , , , , , , , , and . Electro-mechanical whole-heart digital twins: A fully coupled multi-physics approach. Mathematics, 9(11):1247, May . [bibtex]

32. . On the Boussinesq equations with non-monotone temperature profiles. J. Nonlinear Sci., 31(4):64, 38, May . [preprint] [bibtex]

33. , , and . 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 . Springer, Cham. [preprint] [bibtex]

34. and . An unconventional robust integrator for dynamical low-rank approximation. BIT, 591–614, May . Online first. [preprint] [bibtex]

35. , , and . An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Multiscale Model. Simul., 19(2):846–885, May . [preprint] [bibtex]

36. and . 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 . [preprint] [files] [bibtex]

37. . General class of optimal Sobolev inequalities and nonlinear scalar field equations. J. Differ. Equ., 281:411–441, April . [preprint] [bibtex]

38. . A uniqueness result for the sine-Gordon breather. SN Partial Differ. Equ. Appl., 2:26, 8pp., March . [preprint] [bibtex]

39. and . Asymptotic preserving trigonometric integrators for the quantum Zakharov system. BIT, 61(1):61–81, March . [preprint] [bibtex]

40. , , , , , , , , , , , and . 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 . [bibtex]

41. and . Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Evol. Equ. Control Theory, 10(1):155–198, March . [preprint] [bibtex]

42. , , and . On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. SN Partial Differ. Equ. Appl., 2(2):23, 27pp., March . [preprint] [files] [bibtex]

43. , , , and . On the asymptotic dynamics of 2-D magnetic quantum systems. Ann. Henri Poincaré, 22(2):415–445, February . [preprint] [bibtex]

44. . Total helicity of electromagnetic fields and matter. Phys. Rev. B, 103(5):054406, February . [preprint] [bibtex]

45. and . A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., 19(1):374–400, February . [preprint] [files] [bibtex]

46. . An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. Math. Methods Appl. Sci., 1–13, February . Online first. [preprint] [bibtex]

47. , , and . Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February . [preprint] [bibtex]

48. . Spectrum decomposition of translation operators in periodic waveguide. SIAM J. Appl. Math., 81(1):233–257, February . [bibtex]

49. , , and . The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. J. Dyn. Diff. Equat., 1–27, January . Online first. [preprint] [bibtex]

50. , , , and . 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 . [preprint] [bibtex]

51. , , , and . Bayesian optimization with improved scalability and derivative information for efficient design of nanophotonic structures. J. Light. Technol., 39(1):167–177, January . [bibtex]

52. , , and . Correction to: Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 147(4):997–1000, . [bibtex]

## 2020

1. . A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl., 492(1):124442, December . [preprint] [bibtex]

2. and . Application of the second domain derivative in inverse electromagnetic scattering. Inverse Problems, 36(12):125002, 34, December . [preprint] [bibtex]

3. , , , , , and . On enhanced sensing of chiral molecules in optical cavities. Appl. Phys. Rev., 7(4):041413, December . [bibtex]

4. , , , and . Imaging with the elliptic Radon transform in three dimensions from an analytical and numerical perspective. SIAM J. Imag. Sci., 13(4):2250–2280, December . [preprint] [bibtex]

5. , , and . Modulation equations near the Eckhaus boundary: The KdV equation. SIAM J. Math. Anal., 52(6):5389–5421, November . [preprint] [bibtex]

6. , , , and . 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 . Birkhäuser Basel. [bibtex]

7. W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors. Mathematics of Wave Phenomena, Trends in Mathematics, October . Birkhäuser Basel. [bibtex]

8. and . 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 . Birkhäuser Basel. [bibtex]

9. and . 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 . Birkhäuser Basel. [bibtex]

10. , , and . Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 40(4):2143–2162, October . [preprint] [bibtex]

11. , , and . 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 . Birkhäuser Basel. [bibtex]

12. and . An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. Math. Ann., 1–43, October . Online first. [preprint] [bibtex]

13. , , 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 . [preprint] [bibtex]

14. , , , , and . Consequences of using an orthotropic stress tensor for left ventricular systole. In 2020 Computing in Cardiology (CinC), pages 1–4, Rimini, Italy, September . [bibtex]

15. , , and . Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. Inverse Problems, 35(10):105007, September . [preprint] [bibtex]

16. and . 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 . [preprint] [bibtex]

17. , , and . On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August . [preprint] [bibtex]

18. and . Monotonicity in inverse obstacle scattering on unbounded domains. Inverse Problems, 36(8):085014, August . [preprint] [bibtex]

19. and . Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Electron. Trans. Numer. Anal., 53:522–540, August . [preprint] [bibtex]

20. , , and . On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 145(3):553–580, July . [preprint] [bibtex]

21. . The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. NoDEA Nonlinear Differential Equations Appl., 27:40, July . [preprint] [bibtex]

22. , , , and . Equilibrium measures and equilibrium potentials in the Born–Infeld model. J. Math. Pures Appl., 139:35–62, July . [preprint] [bibtex]

23. and . Inverse design of nanophotonic devices with structural integrity. ACS Photonics, 7(8):2190–2196, July . [bibtex]

24. and . Random objective waveform inversion of surface waves. Geophysics, 85(4):1JA–Z18, July . [bibtex]

25. , , and . 2D multiparameter viscoelastic shallow-seismic full-waveform inversion: reconstruction tests and first field-data application. Geophys. J. Int., 222(1):560–571, July . [preprint] [bibtex]

26. and . On a thin film model with insoluble surfactant. J. Differ. Equ., 268(12):7582–7608, June . [preprint] [bibtex]

27. , , and . 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 . Springer, Cham. [bibtex]

28. . 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 . [preprint] [bibtex]

29. . Well-posedness and stability for a mixed order system arising in thin film equations with surfactant. Math. Nachr., 293(5):879–892, May . [preprint] [bibtex]

30. , , , , and . Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May . [preprint] [bibtex]

31. , , , and . Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Math. Comp., 1–46, May . Online first. [preprint] [bibtex]

32. and . The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 1–27, April . Online first. [preprint] [bibtex]

33. and . Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. ZAMM Z. Angew. Math. Mech., 100(6):e201900230, April . [preprint] [bibtex]

34. , , , , and . The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April . [bibtex]

35. , , and . Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 236(1):253–288, April . [preprint] [bibtex]

36. and . Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1–46, April . Online first. [preprint] [bibtex]

37. . The KdV approximation for a system with unstable resonances. Math. Methods Appl. Sci., 43(6):3185–3199, April . [preprint] [bibtex]

38. , , , and . Biharmonic wave maps: local wellposedness in high regularity. Nonlinearity, 33(5):2270–2305, March . [preprint] [bibtex]

39. , , and . Threshold for blowup for the supercritical cubic wave equation. Nonlinearity, 33(5):2143–2158, March . [preprint] [bibtex]

40. and . Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. Comm. Partial Differential Equations, 45(8):887–912, March . [preprint] [bibtex]

41. and . Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Numer. Math., 144(3):699–728, March . [preprint] [bibtex]

42. , , , , , , , , and . Mapping and removing the ventricular far field component in unipolar atrial electrograms. IEEE Trans. Biomed. Eng., 67(10):2905–2915, February . [bibtex]

43. and . Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 60(3):591–614, January . [preprint] [bibtex]

44. and . Boundary stabilization of quasilinear Maxwell equations. J. Differ. Equ., 268(2):784–812, January . [preprint] [bibtex]

45. , , , , , , and . Superconducting-nanowire single-photon spectrometer exploiting cascaded photonic crystal cavities. Phys. Rev. Applied, 13(1):014061, January . [preprint] [bibtex]

46. and . On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. Int. Math. Res. Not. IMRN, rnz389, January . [preprint] [bibtex]

47. . A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, January . [preprint] [bibtex]

48. and . Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January . [preprint] [bibtex]

49. , , , , , , , , , , , , , 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 . [bibtex]

## 2019

1. and . Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 1–72, December . Online first. [preprint] [bibtex]

2. and . The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 1–9, December . Online first. [preprint] [bibtex]

3. and . Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. SIAM J. Appl. Math., 79(6):2639–2662, December . See corrigendum. [preprint] [bibtex]

4. , , , , , , , , , , , and . Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., 117(12):2244–2254, December . [bibtex]

5. . A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November . [bibtex]

6. , , 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]

7. and . Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 1–24, November . Online first. [preprint] [bibtex]

8. , , and . On a Kelvin–Voigt viscoelastic wave equation with strong delay. SIAM J. Math. Anal., 51(6):4382–4412, November . [preprint] [bibtex]

9. , , and . Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October . [preprint] [bibtex]

10. and . Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October . [preprint] [bibtex]

11. and . Near-field imaging of locally perturbed periodic surfaces. Inverse Problems, 35(11):114003, October . [preprint] [bibtex]

12. , , and . Exponential decay of quasilinear Maxwell equations with interior conductivity. NoDEA Nonlinear Differential Equations Appl., 26(6):Paper No. 51, October . Online first. [preprint] [bibtex]

13. , , , , , and . 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 . IEEE Engineering in Medicine and Biology Society (EMBC), IEEE. [bibtex]

14. , , , and . Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September . [preprint] [bibtex]

15. and . 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 . [preprint] [bibtex]

16. , , , 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]

17. , , and . Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September . [preprint] [bibtex]

18. , , , and . Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September . Online first. [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 . Online first, in press. [preprint] [bibtex]

20. , , , and . Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September . [preprint] [bibtex]

21. , , , , , and . Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September . [preprint] [bibtex]

22. , , and . Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August . [preprint] [bibtex]

23. , , , and . Homogenization of wire media with a general purpose nonlocal constitutive relation. J. Opt. Soc. Am. B, 36(8):F99–F108, August . [bibtex]

24. . Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August . [preprint] [bibtex]

25. . NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August . [preprint] [bibtex]

26. , , and . Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August . [preprint] [bibtex]

27. . Numerical approximation of planar oblique derivative problems in nondivergence form. Math. Comp., 88(317):1091–1119, July . [preprint] [bibtex]

28. 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 . [preprint] [bibtex]

29. , , , and . Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July . [preprint] [bibtex]

30. and . Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July . [preprint] [bibtex]

31. , , and . Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July . [preprint] [bibtex]

32. and . Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July . [preprint] [bibtex]

33. , , and . Improved efficiency of a multi-index FEM for computational uncertainty quantification. SIAM J. Numer. Anal., 57(4):1744–1769, July . [preprint] [bibtex]

34. . Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June . [preprint] [bibtex]

35. and . Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June . [preprint] [bibtex]

36. , , , , , , , , , and . Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June . [bibtex]

37. , , and . On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June . [preprint] [bibtex]

38. . Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June . [preprint] [bibtex]

39. . The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June . [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 . [preprint] [bibtex]

41. , , and . Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 1–53, May . [preprint] [bibtex]

42. , , and . Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May . [preprint] [bibtex]

43. . Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differ. Equ., 266(8):5012–5063, April . [preprint] [bibtex]

44. , , and . High-resolution characterization of near-surface structures by surface-wave inversions: From dispersion curve to full waveform. Surv. Geophys., 40(2):167–195, March . [preprint] [bibtex]

45. , , , , and . Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March . [preprint] [bibtex]

46. and . Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March . [preprint] [bibtex]

47. . Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February . [preprint] [bibtex]

48. , , , and . Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February . [preprint] [bibtex]

49. 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]

50. , , 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 . [bibtex]

51. and . Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February . [bibtex]

52. , , , and . Observation guided systematic reduction of a detailed human ventricular cell model. In 2019 Computing in Cardiology (CinC), volume 46, pages 1–4, February . [bibtex]

53. 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 . [preprint] [bibtex]

54. , , , , , , and . Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January . [bibtex]

55. , , and . Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January . [bibtex]

56. 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. [preprint] [bibtex]

57. . An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January . [preprint] [bibtex]

58. , , , and . Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January . [bibtex]

59. , , and . Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January . [bibtex]

60. . Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January . [preprint] [bibtex]

## 2018

1. and . Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December . [preprint] [bibtex]

2. , , , 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 . [bibtex]

3. and . Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November . [preprint] [bibtex]

4. , , , and . Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November . [preprint] [bibtex]

5. and . Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November . [preprint] [bibtex]

6. , , , and . Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November . [preprint] [bibtex]

7. , , , , , , and . Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November . [bibtex]

8. , , and . Runge–Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Found. Comput. Math., 18(5):1109–1130, October . [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 . [bibtex]

10. , , , and . Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differ. Equ., 265(8):3311–3338, October . [preprint] [bibtex]

11. , , , , , , , and . A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September . [bibtex]

12. , , , , , and . Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September . [bibtex]

13. . Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September . [preprint] [bibtex]

14. . The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September . [preprint] [bibtex]

15. , , , , , , , , 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 . [bibtex]

16. 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 . [preprint] [bibtex]

17. , , , , , , , , , , , , and . Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July . [bibtex]

18. , , and . Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June . [preprint] [bibtex]

19. , , , , , , , 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 . [bibtex]

20. and . Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June . [bibtex]

21. and . Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June . [preprint] [bibtex]

22. 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]

23. 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 . [preprint] [bibtex]

24. , , 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 . [preprint] [bibtex]

25. , , , , , , and . Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May . [bibtex]

26. , , and . Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April . [preprint] [bibtex]

27. and . Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April . [preprint] [bibtex]

28. , , , , , , , , , , , , and . In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April . [bibtex]

29. , , and . Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March . [preprint] [bibtex]

30. and . Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March . [preprint] [bibtex]

31. , , and . Blow-up for nonlinear Maxwell equations. Electron. J. Differ. Equ., Paper No. 73, 9, March . [preprint] [bibtex]

32. , , 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 . [bibtex]

33. and . Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numer. Math., 138(2):365–388, February . [preprint] [bibtex]

34. , , , , , , , , , , , , and . Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February . [bibtex]

35. , , , , and . Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February . [preprint] [bibtex]

36. , , , and . Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Inverse Problems, 34(1):014002, 25, January . [preprint] [bibtex]

37. , , , and . The definition and measurement of electromagnetic chirality. Math. Methods Appl. Sci., 41(2):559–572, January . [preprint] [bibtex]

38. , , , , and . Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. IMA J. Numer. Anal., 38(1):57–74, January . [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 . [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 . [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 . [preprint] [bibtex]

6. , , and . Strang splitting for a semilinear Schrödinger equation with damping and forcing. J. Math. Anal. Appl., 455(2):1051–1071, November . [preprint] [bibtex]

7. and . Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October . [preprint] [bibtex]

8. , , and . Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. J. Math. Phys., 58(10):101513, 43, October . [preprint] [bibtex]

9. , , and . Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October . [preprint] [bibtex]

10. , , , 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. Differ. Equ., 263(8):4429–4441, October . [preprint] [bibtex]

11. and . Spectrum of a singularly perturbed periodic thin waveguide. J. Math. Anal. Appl., 454(2):673–694, October . [preprint] [bibtex]

12. , , , and . Dispersion managed solitons in the presence of saturated nonlinearity. Phys. D, 356-357:65–69, October . [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 . [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 . [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 . [preprint] [bibtex]

16. and . Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 137(1):91–117, September . [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 . [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 . [preprint] [bibtex]

19. and . An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August . [preprint] [bibtex]

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

21. , , , , , , , , , , , , , , and . Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546:274–279, June . [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 . 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 . [preprint] [bibtex]

25. , , , , , , , , , and . Subwavelength focusing of Bloch surface waves. ACS Photonics, 4(6):1477–1483, May . [bibtex]

26. , , and . Thresholds for existence of dispersion management solitons for general nonlinearities. SIAM J. Math. Anal., 49(2):1519–1569, April . [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 . [preprint] [bibtex]

28. , , , and . Computing the T-matrix of a scattering object with multiple plane wave illuminations. Beilstein J. Nanotechnol., 8:614–626, March . [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 . [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 . [preprint] [bibtex]

32. and . Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February . [preprint] [bibtex]

33. and . Numerical analysis of parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., 37(1):1–39, January . [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 . [preprint] [bibtex]

2. , , and . From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December . [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 . [preprint] [bibtex]

6. , , and . Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. J. Math. Anal. Appl., 442(2):740–760, October . [preprint] [bibtex]

7. , , , , , , , , , , and . Cavity-enhanced and ultrafast superconducting single-photon detectors. Nano Lett., 16(11):7085–7092, October . [bibtex]

8. , , , and . Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration. Appl. Phys. Lett., 109(14):141102, October . [preprint] [bibtex]

9. , , , and . Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. NoDEA Nonlinear Differential Equations Appl., 23(5):Art. 52, 34, October . [preprint] [bibtex]

10. and . Error analysis of a second-order locally implicit method for linear Maxwell's equations. SIAM J. Numer. Anal., 54(5):3167–3191, October . [preprint] [bibtex]

11. , , , , and . Optical force and torque on dipolar dual chiral particles. Phys. Rev. B, 94(12):125123, September . [preprint] [bibtex]

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

13. and . Paley–Littlewood decomposition for sectorial operators and interpolation spaces. Math. Nachr., 289(11-12):1488–1525, August . [preprint] [bibtex]

14. , , and . Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409–428, July . [preprint] [bibtex]

15. , , , , , , , , , , , , , 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]

16. and . Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June . [preprint] [bibtex]

17. and . On a parabolic-hyperbolic filter for multicolor image noise reduction. Evol. Equ. Control Theory, 5(2):251–272, June . [preprint] [bibtex]

18. and . Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Asymptotic Anal., 98(1-2):91–130, May . [preprint] [bibtex]

19. and . A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. J. Elliptic Parabol. Equ., 2(1):371–387, April . [preprint] [bibtex]

20. 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 . [bibtex]

21. , , , and . Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. J. Phys. A, 49(16):165302, 19, March . [preprint] [bibtex]

22. , , , , , , , , , and . Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy. Opt. Express, 24(4):4128–4142, February . [preprint] [bibtex]

23. , , , , , , , , and . Parameter estimation of ion current formulations requires hybrid optimization approach to be both accurate and reliable. Front. Bioeng. Biotechnol., 3:209, January . [bibtex]

## 2015

1. , , , and . Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, December . [preprint] [bibtex]