Publications

2020

1. G. Ceruti and C. Lubich. Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 1–24, January 2020. URL https://doi.org/10.1007/s10543-019-00799-8. Online first. [preprint] [bibtex]
2. Y. Yun, A. Vetter, R. Stegmueller, S. Ferrari, W. H. P. Pernice, C. Rockstuhl, and C. Lee. 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] [bibtex]
3. Z. Kohajda, N. Tóth, J. Szlovák, A. Loewe, G. Bitay, P. Gazdag, J. Prorok, N. Jost, J. Levijoki, P. Pollesello, Papp, J. Gy., A. Varró, and N. Nagy. 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. [bibtex]
4. R. Mandel and D. Scheider. 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] [bibtex]
5. M. Pokojovy and R. Schnaubelt. Boundary stabilization of quasilinear Maxwell equations. J. Differential Equations, 268(2):784–812, January 2020. URL https://doi.org/10.1016/j.jde.2019.08.032. [preprint] [bibtex]
6. V. Grimm. A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, 2020. URL https://doi.org/10.1088/1361-6420/ab5819. [preprint] [bibtex]

2019

1. A. Kirsch and A. Rieder. 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. Online first. [preprint] [bibtex]
2. I. Anapolitanos and M. Lewin. 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] [bibtex]
3. L. Chaichenets and N. Pattakos. 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] [bibtex]
4. J. Mederski, J. Schino, and A. Szulkin. Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 1–36, November 2019. URL https://doi.org/10.1007/s00205-019-01469-3. [preprint] [bibtex]
5. R. Bauer, P. Cummings, and G. Schneider. 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] [bibtex]
6. H. Demchenko, A. Anikushyn, and M. Pokojovy. 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] [bibtex]
7. M. Feischl and C. Schwab. 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] [bibtex]
8. I. Fernandez-Corbaton. A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November 2019. URL https://doi.org/10.3390/sym11111427. [bibtex]
9. T. Jahnke and M. Mikl. Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October 2019. URL https://doi.org/10.1093/imanum/dry045. [preprint] [bibtex]
10. M. Hochbruck, B. Maier, and C. Stohrer. Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October 2019. URL https://doi.org/10.1137/18M1234072. [preprint] [bibtex]
11. I. Lasiecka, M. Pokojovy, and R. Schnaubelt. Exponential decay of quasilinear Maxwell equations with interior conductivity. NoDEA Nonlinear Differential Equations Appl., 26(6):Paper No. 51, October 2019. URL https://doi.org/10.1007/s00030-019-0595-1. Online first. [preprint] [bibtex]
12. S. Baumstark, G. Schneider, K. Schratz, and D. Zimmermann. Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September 2019. URL https://doi.org/10.1007/s10884-019-09791-w. Online first. [preprint] [bibtex]
13. I. Lasiecka, M. Pokojovy, and X. Wan. Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September 2019. URL https://doi.org/10.1016/j.na.2019.02.019. [preprint] [bibtex]
14. W. Dörfler, S. Findeisen, C. Wieners, and D. Ziegler. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of Radon Series on Computational and Applied Mathematics, chapter 2, pages 61–88. De Gruyter, Berlin/Boston, September 2019. [preprint] [bibtex]
15. P. Krämer, K. Schratz, and X. Zhao. Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 112494, September 2019. URL https://doi.org/10.1016/j.cam.2019.112494. Online first, in press. [preprint] [bibtex]
16. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September 2019. URL https://doi.org/10.1007/s00028-019-00501-z. [preprint] [bibtex]
17. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September 2019. URL https://doi.org/10.1137/19M1249679. [preprint] [bibtex]
18. J. Gärtner, P. Trocha, R. Mandel, C. Koos, T. Jahnke, and W. Reichel. Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September 2019. URL https://doi.org/10.1103/PhysRevA.100.033819. [preprint] [bibtex]
19. J. Ernesti and C. Wieners. 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 2019. [preprint] [bibtex]
20. R. Mandel. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August 2019. URL https://doi.org/10.1515/ans-2019-2050. [preprint] [bibtex]
21. Z. Brzeźniak, F. Hornung, and L. Weis. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August 2019. URL https://doi.org/10.1007/s00440-018-0882-5. [preprint] [bibtex]
22. K. Mnasri, F. Z. Goffi, M. Plum, and C. Rockstuhl. Homogenization of wire media with a general purpose nonlocal constitutive relation. J. Opt. Soc. Am. B, 36(8):F99–F108, August 2019. URL https://doi.org/10.1364/JOSAB.36.000F99. [bibtex]
23. S. Herr, T. Lamm, and R. Schnaubelt. Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August 2019. URL https://doi.org/10.1090/proc/14744. [preprint] [bibtex]
24. N. Pattakos. NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August 2019. URL https://doi.org/10.1007/s00041-018-09655-9. [preprint] [bibtex]
25. L. Banjai and C. Lubich. Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July 2019. URL https://doi.org/10.1093/imanum/dry033. [preprint] [bibtex]
26. D. Hipp, M. Hochbruck, and C. Stohrer. Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July 2019. URL https://doi.org/10.1093/imanum/dry036. [preprint] [bibtex]
27. F. Hagemann, T. Arens, T. Betcke, and F. Hettlich. Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July 2019. URL https://doi.org/10.1088/1361-6420/ab10cb. [preprint] [bibtex]
28. A. Loewe, Y. Lutz, D. Nairn, A. Fabbri, N. Hagy, N. Toth, X. Ye, D. H. Fuertinger, S. Genovesi, P. Kotanko, J. G. Raimann, and S. Severi. Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., July 2019. URL https://doi.org/10.1016/j.bpj.2019.07.037. Online first, in press. [bibtex]
29. A. Anikushyn and M. Pokojovy. Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay. J. Math. Anal. Appl., 475(1):278–312, July 2019. URL https://doi.org/10.1016/j.jmaa.2019.02.042. [preprint] [bibtex]
30. J. Ernesti and C. Wieners. Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July 2019. URL https://doi.org/10.1515/cmam-2018-0190. [preprint] [bibtex]
31. P. C. Kunstmann. Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June 2019. URL https://doi.org/10.1007/s00233-019-10016-1. [preprint] [bibtex]
32. D. Bonheure, J.-B. Casteras, and R. Mandel. On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June 2019. URL https://doi.org/10.1112/jlms.12196. [preprint] [bibtex]
33. R. Mandel. Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June 2019. URL https://doi.org/10.12775/TMNA.2019.025. [preprint] [bibtex]
34. A. Nesic, M. Blaicher, T. Hoose, A. Hofmann, M. Lauermann, Y. Kutuvantavida, M. Nöllenburg, S. Randel, W. Freude, and C. Koos. Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June 2019. URL https://doi.org/10.1364/OE.27.017402. [bibtex]
35. R. Mandel. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June 2019. URL https://doi.org/10.1007/s00220-019-03363-1. [preprint] [bibtex]
36. W. Dörfler and R. Nürnberg. Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June 2019. URL https://doi.org/10.1137/18M122844X. [preprint] [bibtex]
37. Z. Brzeźniak, F. Hornung, and U. Manna. Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 1–53, May 2019. URL https://doi.org/10.1007/s40072-019-00141-x. [preprint] [bibtex]
38. J. Eilinghoff, T. Jahnke, and R. Schnaubelt. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May 2019. URL https://doi.org/10.1137/18M1203377. [preprint] [bibtex]
39. D. Gallistl. Numerical approximation of planar oblique derivative problems in nondivergence form. Math. Comp., 88(317):1091–1119, May 2019. URL https://doi.org/10.1090/mcom/3371. [preprint] [bibtex]
40. M. Hochbruck and A. Sturm. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May 2019. URL https://doi.org/10.1090/mcom/3365. [preprint] [bibtex]
41. M. Spitz. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differential Equations, 266(8):5012–5063, April 2019. URL https://doi.org/10.1016/j.jde.2018.10.019. [preprint] [bibtex]
42. L. Gauckler, J. Lu, J. L. Marzuola, F. Rousset, and K. Schratz. Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March 2019. URL https://doi.org/10.1090/mcom/3339. [preprint] [bibtex]
43. A. Hirsch and W. Reichel. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March 2019. URL https://doi.org/10.1088/1361-6544/aaf59d. [preprint] [bibtex]
44. R. S. Nejad and C. Wieners. Parallel inelastic heterogeneous multi-scale simulations. In S. Diebels and S. Rjasanow, editors, Multi-scale simulation of composite materials — Results from the project MuSiKo, Math. Eng., pages 57–96. Springer, Berlin, February 2019. [bibtex]
45. M. M. Müller, B. Maier, C. Rockstuhl, and M. Hochbruck. Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February 2019. URL https://doi.org/10.1103/PhysRevB.99.075401. [preprint] [bibtex]
46. S. Baumstark and K. Schratz. Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes. SIAM J. Numer. Anal., 57(1):429–457, February 2019. URL https://doi.org/10.1137/18M1177184. [preprint] [bibtex]
47. N. Thiel, T. Hertweck, and T. Bohlen. Comparison of acoustic and elastic full-waveform inversion of 2D towed-streamer data in the presence of salt. Geophys. Prospect., 67(2):349–361, February 2019. URL https://doi.org/10.1111/1365-2478.12728. [bibtex]
48. B. Bieganowski and J. Mederski. Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February 2019. URL https://doi.org/10.1016/j.aml.2018.08.021. [bibtex]
49. L. Hornung. Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February 2019. URL https://doi.org/10.1007/s11118-018-9683-9. [preprint] [bibtex]
50. M. Hochbruck and J. Köhler. On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type problems. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, volume 126 of Lecture Notes in Computational Science and Engineering, pages 135–144, January 2019. Springer International Publishing. [bibtex]
51. J. Rottmann-Matthes. An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January 2019. URL https://doi.org/10.1093/imanum/drx064. [preprint] [bibtex]
52. D. Gallistl. Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January 2019. URL https://doi.org/10.1090/mcom/3327. [preprint] [bibtex]
53. R. Alaee, C. Rockstuhl, and I. Fernandez-Corbaton. Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January 2019. URL https://doi.org/10.1002/adom.201800783. [bibtex]
54. K. Mnasri, A. Khrabustovskyi, M. Plum, and C. Rockstuhl. Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January 2019. URL https://doi.org/10.1103/PhysRevB.99.035442. [bibtex]
55. A. Loewe, E. Poremba, T. Oesterlein, A. Luik, C. Schmitt, G. Seemann, and O. Dössel. Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January 2019. URL https://doi.org/10.3389/fphys.2018.01910. [bibtex]
56. F. Wittkamp, N. Athanasopoulos, and T. Bohlen. Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January 2019. URL https://doi.org/10.1093/gji/ggy432. [bibtex]

2018

1. Ł. Rzepnicki and R. Schnaubelt. Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December 2018. URL https://doi.org/10.1112/blms.12212. [preprint] [bibtex]
2. Y. Pan, S. Schaneng, T. Seinweg, and T. Bohlen. Estimating S-wave velocities from 3D 9-component shallow seismic data using local Rayleigh-wave dispersion curves – A field study. J. Appl. Geophys., 159:532–539, December 2018. URL https://doi.org/10.1016/j.jappgeo.2018.09.037. [bibtex]
3. R. Andlauer, G. Seemann, L. Baron, O. Dössel, P. Kohl, P. Platonov, and A. Loewe. Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November 2018. URL https://doi.org/10.1093/europace/euy231. [bibtex]
4. C. Grathwohl, P. Kunstmann, E. T. Quinto, and A. Rieder. Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November 2018. URL https://doi.org/10.1088/1361-6420/aadc2a. [preprint] [bibtex]
5. A. Khrabustovskyi and O. Post. Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November 2018. URL https://doi.org/10.3233/asy-181480. [preprint] [bibtex]
6. F. Bonetto, A. Geisinger, M. Loss, and T. Ried. Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November 2018. URL https://doi.org/10.1007/s00220-018-3263-0. [preprint] [bibtex]
7. J. Eilinghoff and R. Schnaubelt. Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November 2018. URL https://doi.org/10.3934/dcds.2018248. [preprint] [bibtex]
8. D. Hundertmark, Y.-R. Lee, T. Ried, and V. Zharnitsky. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differential Equations, 265(8):3311–3338, October 2018. URL https://doi.org/10.1016/j.jde.2017.08.028. [preprint] [bibtex]
9. T. G. Oesterlein, A. Loewe, G. Lenis, A. Luik, C. Schmitt, and O. Dössel. Automatic identification of reentry mechanisms and critical sites during atrial tachycardia by analyzing areas of activity. IEEE Trans. Biomed. Eng., 65(10):2334–2344, October 2018. URL https://doi.org/10.1109/TBME.2018.2794321. [bibtex]
10. L. Hornung. Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September 2018. URL https://doi.org/10.1007/s00028-018-0448-0. [preprint] [bibtex]
11. M. Alessandrini, M. Valinoti, L. Unger, T. Oesterlein, O. Dössel, C. Corsi, A. Loewe, and S. Severi. A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September 2018. URL https://doi.org/10.3389/fphys.2018.01251. [bibtex]
12. F. Hornung. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September 2018. URL https://doi.org/10.1007/s00028-018-0433-7. [preprint] [bibtex]
13. J. Feis, K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, and C. Rockstuhl. Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September 2018. URL https://doi.org/10.1103/PhysRevB.98.115409. [bibtex]
14. M. R. Billah, M. Blaicher, T. Hoose, P.-I. Dietrich, P. Marin-Palomo, N. Lindenmann, A. Nesic, A. Hofmann, U. Troppenz, M. Moehrle, S. Randel, W. Freude, and C. Koos. Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July 2018. URL https://doi.org/10.1364/optica.5.000876. [bibtex]
15. H. Lehrmann, A. S. Jadidi, J. Minners, J. Chen, B. Müller-Edenborn, R. Weber, O. Dössel, T. Arentz, and A. Loewe. Novel electrocardiographic criteria for real-time assessment of anterior mitral line block: “V1 Jump” and “V1 Delay”. JACC Clin. Electrophysiol., 4(7):920–932, July 2018. URL https://doi.org/10.1016/j.jacep.2018.03.007. [bibtex]
16. A. Kirsch and A. Lechleiter. A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Math. Methods Appl. Sci., 41(10):3955–3975, July 2018. URL https://doi.org/10.1002/mma.4879. [preprint] [bibtex]
17. A. Ostermann and K. Schratz. Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June 2018. URL https://doi.org/10.1007/s10208-017-9352-1. [preprint] [bibtex]
18. C. Kriegler and L. Weis. Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June 2018. URL https://doi.org/10.1007/s00209-017-1957-1. [bibtex]
19. R. Flohr and J. Rottmann-Matthes. A splitting approach for freezing waves. In C. Klingenberg and M. Westdickenberg, editors, Theory, numerics and applications of hyperbolic problems. I, volume 236 of Springer Proc. Math. Stat., pages 539–550. Springer, Cham, June 2018. [preprint] [bibtex]
20. W.-J. Beyn, D. Otten, and J. Rottmann-Matthes. Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June 2018. URL https://doi.org/10.1137/16M108286X. [preprint] [bibtex]
21. F. Negredo, M. Blaicher, A. Nesic, P. Kraft, J. Ott, W. Dörfler, C. Koos, and C. Rockstuhl. Fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory. J. Opt. Soc. Am. A, 35(6):1063–1073, June 2018. URL https://doi.org/10.1364/JOSAA.35.001063. [bibtex]
22. A. Kirsch and A. Lechleiter. The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, May 2018. URL https://doi.org/10.1137/17M1118920. [preprint] [bibtex]
23. S. Baumstark, E. Faou, and K. Schratz. Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May 2018. URL https://doi.org/10.1090/mcom/3263. [preprint] [bibtex]
24. J. Münzberg, A. Vetter, F. Beutel, W. Hartmann, S. Ferrari, W. H. P. Pernice, and C. Rockstuhl. Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May 2018. URL https://doi.org/10.1364/OPTICA.5.000658. [bibtex]
25. P.-I. Dietrich, M. Blaicher, I. Reuter, M. Billah, T. Hoose, A. Hofmann, C. Caer, R. Dangel, B. Offrein, U. Troppenz, M. Moehrle, W. Freude, and C. Koos. In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April 2018. URL https://doi.org/10.1038/s41566-018-0133-4. [bibtex]
26. T. Jahnke and M. Mikl. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April 2018. URL https://doi.org/10.1007/s00211-017-0926-2. [preprint] [bibtex]
27. M. J. Grote, M. Mehlin, and S. A. Sauter. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April 2018. URL https://doi.org/10.1137/17M1121925. [preprint] [bibtex]
28. M. Hochbruck, T. Pažur, and R. Schnaubelt. Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March 2018. URL https://doi.org/10.1007/s00211-017-0914-6. [preprint] [bibtex]
29. R. Mandel and D. Scheider. Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March 2018. URL https://doi.org/10.1007/s00030-018-0504-z. [preprint] [bibtex]
30. S. Baumstark, G. Kokkala, and K. Schratz. Asymptotic consistent exponential-type integrators for Klein–Gordon–Schrödinger systems from relativistic to non-relativistic regimes. Electron. Trans. Numer. Anal., 48:63–80, March 2018. URL https://doi.org/10.1553/etna_vol48s63. [bibtex]
31. P. D'Ancona, S. Nicaise, and R. Schnaubelt. Blow-up for nonlinear Maxwell equations. Electron. J. Differential Equations, Paper No. 73, 9, March 2018. URL https://ejde.math.txstate.edu/Volumes/2018/73/abstr.html. [preprint] [bibtex]
32. K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, and C. Rockstuhl. Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February 2018. URL https://doi.org/10.7153/oam-2019-13-21. [preprint] [bibtex]
33. B. Kovács and C. Lubich. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. Numer. Math., 138(2):365–388, February 2018. URL https://doi.org/10.1007/s00211-017-0909-3. [preprint] [bibtex]
34. P. Trocha, M. Karpov, D. Ganin, M. H. P. Pfeiffer, A. Kordts, S. Wolf, J. Krockenberger, P. Marin-Palomo, C. Weimann, S. Randel, W. Freude, T. J. Kippenberg, and C. Koos. Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February 2018. URL https://doi.org/10.1126/science.aao3924. [bibtex]
35. S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck, and T. Jahnke. Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. IMA J. Numer. Anal., 38(1):57–74, January 2018. URL https://doi.org/10.1093/imanum/drx007. [preprint] [bibtex]
36. T. Arens, F. Hagemann, F. Hettlich, and A. Kirsch. The definition and measurement of electromagnetic chirality. Math. Methods Appl. Sci., 41(2):559–572, January 2018. URL https://doi.org/10.1002/mma.4628. [preprint] [bibtex]
37. C. Grathwohl, P. Kunstmann, E. T. Quinto, and A. Rieder. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. Inverse Problems, 34(1):014002, 25, January 2018. URL https://doi.org/10.1088/1361-6420/aa9900. [preprint] [bibtex]

2017

1. T. Hytönen, J. van Neerven, M. Veraar, and L. Weis. Analysis in Banach spaces. Vol. II, volume 67 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]. Springer, Cham, December 2017. Probabilistic methods and operator theory. [bibtex]
2. A. Loewe and O. Dössel. Commentary: Virtual in-silico modeling gided catheter ablation predicts effective linear ablation lesion set for longstanding persistent atrial fibrillation: Multicenter prospective randomized study. Front. Physiol., 8:1113, December 2017. URL https://doi.org/10.3389/fphys.2017.01113. [bibtex]
3. J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye–Yukawa type interaction. Kinet. Relat. Models, 10(4):901–924, December 2017. URL https://doi.org/10.3934/krm.2017036. [preprint] [bibtex]
4. M. Hochbruck and C. Stohrer. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations. In M. L. Bittencourt, N. A. Dumont, and J. S. Hesthaven, editors, Spectral and high order methods for partial differential equations—ICOSAHOM 2016, volume 119 of Lect. Notes Comput. Sci. Eng., pages 269–281. Springer, Cham, November 2017. [preprint] [bibtex]
5. T. Jahnke, M. Mikl, and R. Schnaubelt. Strang splitting for a semilinear Schrödinger equation with damping and forcing. J. Math. Anal. Appl., 455(2):1051–1071, November 2017. URL https://doi.org/10.1016/j.jmaa.2017.06.004. [preprint] [bibtex]
6. D. Hundertmark, Y.-R. Lee, T. Ried, and V. Zharnitsky. Dispersion managed solitons in the presence of saturated nonlinearity. Phys. D, 356-357:65–69, November 2017. URL https://doi.org/10.1016/j.physd.2017.06.004. [preprint] [bibtex]
7. J. Rottmann-Matthes. Freezing similarity solutions in the multi-dimensional Burgers equation. Nonlinearity, 30(12):4558–4586, November 2017. URL https://doi.org/10.1088/1361-6544/aa89d5. [preprint] [bibtex]
8. S. Herr and K. Schratz. Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October 2017. URL https://doi.org/10.1093/imanum/drw059. [preprint] [bibtex]
9. R. Mandel, E. Montefusco, and B. Pellacci. Oscillating solutions for nonlinear Helmholtz equations. Z. Angew. Math. Phys., 68(6):Art. 121, 19, October 2017. URL https://doi.org/10.1007/s00033-017-0859-8. [preprint] [bibtex]
10. M.-R. Choi, D. Hundertmark, and Y.-R. Lee. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. J. Math. Phys., 58(10):101513, 43, October 2017. URL https://doi.org/10.1063/1.5004253. [preprint] [bibtex]
11. A. Hirsch and W. Reichel. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. Z. Anal. Anwend., 36(4):419–435, October 2017. URL https://doi.org/10.4171/ZAA/1595. [preprint] [bibtex]
12. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space $M_{p,q}(\Bbb R)$. J. Differential Equations, 263(8):4429–4441, October 2017. URL https://doi.org/10.1016/j.jde.2017.04.020. [preprint] [bibtex]
13. G. Cardone and A. Khrabustovskyi. Spectrum of a singularly perturbed periodic thin waveguide. J. Math. Anal. Appl., 454(2):673–694, October 2017. URL https://doi.org/10.1016/j.jmaa.2017.05.012. [preprint] [bibtex]
14. Y. Latushkin, R. Schnaubelt, and X. Yang. Stable foliations near a traveling front for reaction diffusion systems. Discrete Contin. Dyn. Syst. Ser. B, 22(8):3145–3165, October 2017. URL https://doi.org/10.3934/dcdsb.2017168. [preprint] [bibtex]
15. M. Almquist and M. Mehlin. Multilevel local time-stepping methods of Runge–Kutta-type for wave equations. SIAM J. Sci. Comput., 39(5):A2020–A2048, September 2017. URL https://doi.org/10.1137/16M1084407. [preprint] [bibtex]
16. B. Kovács and C. Lubich. Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. Numer. Math., 137(1):91–117, September 2017. URL https://doi.org/10.1007/s00211-017-0868-8. [preprint] [bibtex]
17. J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter. Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules. Arch. Ration. Mech. Anal., 225(2):601–661, August 2017. URL https://doi.org/10.1007/s00205-017-1101-8. [preprint] [bibtex]
18. M. Hofmanová and K. Schratz. An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August 2017. URL https://doi.org/10.1007/s00211-016-0859-1. [preprint] [bibtex]
19. I. Anapolitanos, M. Hott, and D. Hundertmark. Derivation of the Hartree equation for compound Bose gases in the mean field limit. Rev. Math. Phys., 29(7):1750022, 28, August 2017. URL https://doi.org/10.1142/S0129055X17500222. [preprint] [bibtex]
20. L. Gauckler and D. Weiss. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. Discrete Contin. Dyn. Syst., 37(7):3721–3747, July 2017. URL https://doi.org/10.3934/dcds.2017158. [preprint] [bibtex]
21. P. Marin-Palomo, J. N. Kemal, M. Karpov, A. Kordts, J. Pfeifle, M. H. P. Pfeiffer, P. Trocha, S. Wolf, V. Brasch, M. H. Anderson, R. Rosenberger, K. Vijayan, W. Freude, T. J. Kippenberg, and C. Koos. Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546:274–279, June 2017. URL https://doi.org/10.1038/nature22387. [bibtex]
22. M.-S. Kim, B. Vosoughi Lahijani, N. Descharmes, J. Straubel, F. Negredo, C. Rockstuhl, M. Häyrinen, M. Kuittinen, M. Roussey, and H. P. Herzig. Subwavelength focusing of Bloch surface waves. ACS Photonics, 4(6):1477–1483, May 2017. URL https://doi.org/10.1021/acsphotonics.7b00245. [bibtex]
23. P. Ciarlet, Jr., S. Fliss, and C. Stohrer. On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations. Comput. Math. Appl., 73(9):1900–1919, May 2017. URL https://doi.org/10.1016/j.camwa.2017.02.043. [preprint] [bibtex]
24. D. Ganin, P. Trocha, M. Pfeiffer, M. Karpov, A. Kordts, J. Krockenberger, P. Marin-Palomo, S. Wolf, S. Randel, W. Freude, T. J. Kippenberg, and C. Koos. Ultrafast dual-comb distance metrology using dissipative Kerr solitons. In Conference on Lasers and Electro-Optics, STh4L.6, May 2017. Optical Society of America. [bibtex]
25. P. Krämer and K. Schratz. Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math., 316:247–259, May 2017. URL https://doi.org/10.1016/j.cam.2016.07.007. Selected Papers from NUMDIFF-14. [preprint] [bibtex]
26. M.-R. Choi, D. Hundertmark, and Y.-R. Lee. Thresholds for existence of dispersion management solitons for general nonlinearities. SIAM J. Math. Anal., 49(2):1519–1569, April 2017. URL https://doi.org/10.1137/15M103666X. [bibtex]
27. M. Fruhnert, I. Fernandez-Corbaton, V. Yannopapas, and C. Rockstuhl. Computing the T-matrix of a scattering object with multiple plane wave illuminations. Beilstein J. Nanotechnol., 8:614–626, March 2017. URL https://doi.org/10.3762/bjnano.8.66. [bibtex]
28. P. C. Kunstmann and L. Weis. New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. J. Evol. Equ., 17(1):387–409, March 2017. URL https://doi.org/10.1007/s00028-016-0360-4. [preprint] [bibtex]
29. M. Hochbruck and T. Pažur. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February 2017. URL https://doi.org/10.1007/s00211-016-0810-5. [preprint] [bibtex]
30. A. Anikushyn and M. Pokojovy. Multidimensional thermoelasticity for nonsimple materials—well-posedness and long-time behavior. Appl. Anal., 96(9):1561–1585, February 2017. URL https://doi.org/10.1080/00036811.2017.1295447. [preprint] [bibtex]
31. W.-J. Beyn, D. Otten, and J. Rottmann-Matthes. Freezing traveling and rotating waves in second order evolution equations. In P. Gurevich, J. Hell, B. Sandstede, and A. Scheel, editors, Patterns of dynamics, volume 205 of Springer Proc. Math. Stat., pages 215–241. Springer, Cham, February 2017. [preprint] [bibtex]
32. R. Mandel and W. Reichel. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation. SIAM J. Appl. Math., 77(1):315–345, February 2017. URL https://doi.org/10.1137/16M1066221. [preprint] [bibtex]
33. B. Kovács and C. Lubich. Numerical analysis of parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., 37(1):1–39, January 2017. URL https://doi.org/10.1093/imanum/drw015. [preprint] [bibtex]

2016

1. M. Daub, G. Schneider, and K. Schratz. From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December 2016. URL https://doi.org/10.1002/mma.3922. [preprint] [bibtex]
2. I. Anapolitanos and M. Hott. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. J. Math. Phys., 57(12):122108, 8, December 2016. URL https://doi.org/10.1063/1.4968820. [preprint] [bibtex]
3. A. Nesic, M. Blaicher, T. Hoose, M. Lauermann, Y. Kutuvantavida, W. Freude, and C. Koos. Hybrid 2D/3D photonic integration for non-planar circuit topologies. In European Conference on Optical Communication (ECOC), pages 707–709, December 2016. [bibtex]
4. P. Marin, J. N. Kemal, P. Trocha, S. Wolf, A. Kordts, M. Karpov, M. H. P. Pfeiffer, V. Brasch, W. Freude, and C. Koos. 34.6 Tbit/s WDM transmission using soliton Kerr frequency combs as optical source and local oscillator. In European Conference on Optical Communication (ECOC), pages 415–417, December 2016. [bibtex]
5. I. Fernandez-Corbaton, X. Zambrana-Puyalto, N. Bonod, and C. Rockstuhl. Transverse multipolar light-matter couplings in evanescent waves. Phys. Rev. A, 94(5):053822, November 2016. URL https://doi.org/10.1103/PhysRevA.94.053822. [preprint] [bibtex]
6. A. Vetter, S. Ferrari, P. Rath, R. Alaee, O. Kahl, V. Kovalyuk, S. Diewald, G. N. Goltsman, A. Korneev, C. Rockstuhl, and W. H. P. Pernice. Cavity-enhanced and ultrafast superconducting single-photon detectors. Nano Lett., 16(11):7085–7092, October 2016. URL https://doi.org/10.1021/acs.nanolett.6b03344. [bibtex]
7. J. Eilinghoff, R. Schnaubelt, and K. Schratz. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. J. Math. Anal. Appl., 442(2):740–760, October 2016. URL https://doi.org/10.1016/j.jmaa.2016.05.014. [preprint] [bibtex]
8. R. Alaee, M. Kadic, C. Rockstuhl, and A. Passian. Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration. Appl. Phys. Lett., 109(14):141102, October 2016. URL https://doi.org/10.1063/1.4963862. [preprint] [bibtex]
9. T. Bartsch, T. Dohnal, M. Plum, and W. Reichel. Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. NoDEA Nonlinear Differential Equations Appl., 23(5):Art. 52, 34, October 2016. URL https://doi.org/10.1007/s00030-016-0403-0. [preprint] [bibtex]
10. M. Hochbruck and A. Sturm. 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] [bibtex]
11. L. Gauckler, E. Hairer, and C. Lubich. 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] [bibtex]
12. A. Rahimzadegan, M. Fruhnert, R. Alaee, I. Fernandez-Corbaton, and C. Rockstuhl. 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] [bibtex]
13. C. Kriegler and L. Weis. 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] [bibtex]
14. W. Dörfler, S. Findeisen, and C. Wieners. 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] [bibtex]
15. V. Maltsev and M. Pokojovy. On a parabolic-hyperbolic filter for multicolor image noise reduction. Evol. Equ. Control The., 5(2):251–272, June 2016. URL https://doi.org/10.3934/eect.2016004. [preprint] [bibtex]
16. P. Marin, J. Pfeifle, M. Karpov, P. Trocha, R. Rosenberger, K. Vijayan, S. Wolf, J. N. Kemal, A. Kordts, M. Pfeiffer, V. Brasch, W. Freude, T. Kippenberg, and C. Koos. 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] [bibtex]
17. A. Kirsch and A. Rieder. 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] [bibtex]
18. A. Khrabustovskyi and M. Plum. 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] [bibtex]
19. M. Plum and W. Reichel. 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] [bibtex]
20. D. Barseghyan, P. Exner, A. Khrabustovskyi, and M. Tater. 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] [bibtex]
21. T. Bohlen and F. Wittkamp. 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. [bibtex]
22. S. Schmidt, A. E. Klein, T. Paul, H. Gross, S. O. Diziain, M. Steinert, A. C. Assafrao, T. Pertsch, H. P. Urbach, and C. Rockstuhl. 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] [bibtex]
23. A. Loewe, M. Wilhelms, J. Schmid, M. J. Krause, F. Fischer, D. Thomas, E. P. Scholz, O. Dössel, and G. Seemann. 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. [bibtex]

2015

1. I. Fernandez-Corbaton, S. Nanz, R. Alaee, and C. Rockstuhl. Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, 12 2015. URL https://doi.org/10.1364/OE.23.033044. [preprint] [bibtex]