### 2019

- Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations,

M. Hochbruck, A. Sturm,

*Math. Comp.*, vol. 88, no. 317, pp. 1121–1153, May 2019 – BibTeX - Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions,

M. Spitz,

*J. Differ. Eq.*vol. 266, issue 8, pp. 5012–5063, April 2019 – BibTeX - Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay, A. Anikushyn, M. Pokojovy,

*J. Math. Anal. Appl.*, online first, February 2019 – BibTeX - Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface,

M. M. Müller, B. Maier, C. Rockstuhl, M. Hochbruck,

*Phys. Rev. B*, vol. 99, issue 7, 075401, February 2019 – BibTeX - Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities,

B. Bieganowski, J. Mederski,

*Appl. Math. Lett.*, vol. 88, pp. 149–155, February 2019 – BibTeX - Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations

K. Mnasri, A. Khrabustovskyi, M. Plum, C. Rockstuhl

*Phys. Rev. B*, vol. 99, issue 3, pp. 035442, January 2019 – BibTeX - Rayleigh-Ritz approximation of the inf-sup constant for the divergence,

D. Gallistl,

*Math. Comp.*, vol. 88, no. 315, pp. 73–89, January 2019 – BibTeX - Exact multipolar decompositions with applications in nanophotonics,

R. Alaee, C. Rockstuhl, I. Fernandez‐Corbaton,

*Adv. Opt. Mater.*, vol. 7, issue 1, 1800783, January 2019 – BibTeX - An IMEX-RK scheme for capturing similarity solutions in multidimensional Burger's equation,

J. Rottmann-Matthes,

*IMA J. Numer. Anal.*, vol. 39, issue 1, pp. 342–373, January 2019 – BibTeX

### 2018

- Polynomial stability for a system of coupled strings,

Ł. Rzepnicki, R. Schnaubelt,

*Bull. Lond. Math. Soc.*, vol. 50, issue 6, pp. 1171–1136, December 2018 – BibTeX - Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy,

R. Andlauer, G. Seemann, L. Baron, O. Dössel, P. Kohl, P. Platonov, A. Loewe,

*EP Eur.*, vol. 20, issue suppl_3, pp. iii36–iii44, November 2018 – BibTeX - Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations,

J. Eilinghoff, R. Schnaubelt,

*Discrete Contin. Dyn. Syst.*, vol. 38, issue 11, pp. 5685–5709, online first, November 2018 – BibTeX - Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space,

Z. Brzeźniak, F. Hornung, L. Weis,

*Probab. Theory and Relat. Fields*, online first, pp. 1–66, November 2018 – BibTeX - Microlocal analysis of imaging operators for effective common offset seismic reconstruction,

C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder,

*Inverse Problems*, vol 34, no. 11, 114001, November 2018 – BibTeX - Automatic Identification of Reentry Mechanisms and Critical Sites during Atrial Tachycardia by Analyzing Areas of Activity,

T. G. Oesterlein, A. Loewe, G. Lenis, A. Luik, C. Schmitt, O. Dössel,

*IEEE Trans. Biomed. Eng.*, vol. 65, issue 10, pp. 2334–2344, October 2018 – BibTeX - A Computational Framework to Benchmark Basket Catheter Guided Ablation in Atrial Fibrillation,

M. Alessandrini, M. Valinoti, L. Unger, T. Oesterlein, O. Dössel, C. Corsi, A. Loewe, S. Severi,

*Front. Physiol.*, vol. 9, art. 1251, September 2018 – BibTeX - Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial,

J. Feis, K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl,

*Phys. Rev. B*, vol. 98, issue 11, pp. 115409, September 2018 – BibTeX - The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,

F. Hornung,

*J. Evol. Equ.*, vol. 18, issue 3, pp. 1085–1114, September 2018 – BibTeX - Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law,

L. Hornung,

*J. Evol. Equ.*, vol. 18, issue 3, pp. 1427–1469, September 2018 – BibTeX - Unified error analysis for nonconforming space discretizations of wave-type equations,

D. Hipp, M. Hochbruck, C. Stohrer,

*IMA J. Numer. Anal.*, online first, pp. 1–40, July 2018 – BibTeX - Novel electrocardiographic criteria for real-time assessment of anterior mitral line block : “V1 Jump” and “V1 Delay”,

H. Lehrmann, A. S. Jadidi, J. Minners, J. Chen, B. Müller-Edenborn, R. Weber, O. Dössel, T. Arentz, A. Loewe,

*JACC Clin. Electrophysiol.*, vol. 4, issue 7, pp. 920–932, July 2018 – BibTeX - A splitting approach for freezing waves,

R. Flohr, J. Rottmann-Matthes,

In: Klingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. Online first, pp. 539-550, June 2018 – BibTeX - Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation,

M. J. Grote, M. Mehlin, S. A. Sauter,

*SIAM J. Numer. Anal.*, vol. 56, issue 2, pp. 994–1021, June 2018 – BibTeX - Fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory,

F. Negredo, M. Blaicher, A. Nesic, P. Kraft, J. Ott, W. Dörfler, C. Koos, C. Rockstuhl,

*J. Opt. Soc. Am. A*, vol. 35, issue 6, pp. 1063–1073, June 2018 – BibTeX - Low regularity exponential-type integrators for semilinear Schrödinger equations,

A. Ostermann, K. Schratz,

*Found. Comput. Math.*, vol. 18, issue 3, pp. 731–755, June 2018 – BibTeX - Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity,

J. Münzberg, A. Vetter, F. Beutel, W. Hartmann, S. Ferrari, W. H. P. Pernice, and C. Rockstuhl,

*Optica*, vol. 5, issue 5, pp. 658–665, May 2018 – BibTeX - Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting,

S. Baumstark, E. Faou, K. Schratz,

*Math. Comput.*, vol. 87, no. 311, pp. 1227–1254, May 2018 – BibTeX - Dual variational methods for a nonlinear Helmholtz system,

R. Mandel, D. Scheider,

*Nonlinear Differential Equations Appl.*, vol. 25, no. 13, pp. 1–26, April ;2018 – BibTeX - Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,

T. Jahnke, M. Mikl,

*Numer. Math.*, vol. 138, issue 4, pp. 975–1009, April 2018 – BibTeX - Asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems from relativistic to non-relativistic regimes,

S. Baumstark, G. Kokkala, K. Schratz,

*Electron. Trans. Numer. Anal.*, vol. 48, pp. 63–80, March 2018 – BibTeX - Blow-up for nonlinear Maxwell equations,

P. D'Ancona, S. Nicaise, R. Schnaubelt,

*Electron. J. Differ. Eq.*, vol. 2018, no. 73, pp. 1–9, March 2018 – BibTeX - Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations,

M. Hochbruck, T. Pažur, R. Schnaubelt,

*Numer. Math.*, vol. 138, issue 3, pp. 557–579, March 2018 – BibTeX - Ultrafast optical ranging using microresonator soliton frequency combs,

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, C. Koos,

*Science*, vol. 359, issue 6378, pp. 887–891, February 2018 – BibTeX - Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,

B. Kovács, C. Lubich,

*Numer. Math.*, vol. 138, issue 2, pp. 365–388, February 2018 – BibTeX - Beyond local effective material properties for metamaterials,

K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl,

*Phys. Rev. B*, vol. 97, issue 7, 075439, February 2018 – BibTeX - Quasilinear parabolic stochastic evolution equations via \(L^p\)-regularity,

L. Hornung,

*Potential Anal.*, pp. 1–48, online first, January 2018 – BibTeX - The definition and measurement of electromagnetic chirality,

T. Arens, F. Hagemann, F. Hettlich, A. Kirsch,

*Math. Methods Appl. Sci.*, vol. 41, issue 2, pp. 559–572, January 2018 – BibTeX - Approximate inverse for the common offset acquisition geometry in 2D seismic imaging,

C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder,

*Inverse Problems*, vol. 34, no. 1, 014002, January 2018 – BibTeX - Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations,

S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck, T. Jahnke,

*IMA J. Numer. Anal.*, vol. 38, issue 1, pp. 57–75, January 2018 – BibTeX

### 2017

- Freezing traveling and rotating waves in second order evolution equations,

W.-J. Beyn, D. Otten, J. Rottmann-Matthes (2017). In: Gurevich P., Hell J., Sandstede B., Scheel A. (eds) Patterns of Dynamics. PaDy 2016. Springer Proceedings in Mathematics & Statistics, vol 205. Springer, Cham – BibTeX - Commentary: Virtual In-Silico Modeling Guided Catheter Ablation Predicts Effective Linear Ablation Lesion Set for Longstanding Persistent Atrial Fibrillation: Multicenter Prospective Randomized Study,

A. Loewe, O. Dössel

*Front. Physiol.*, vol. 8, 1113, December 2017 – BibTeX - Oscillating solutions for nonlinear Helmholtz equations,

R. Mandel, E. Montefusco, B. Pellacci,

*J. Appl. Math. Phys.*, 68:121, December 2017 – BibTeX - Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction,

J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,

*Kinet. Relat. Mod.*, vol. 10, no. 4, pp. 901–924, December 2017 – BibTeX - Freezing similarity solutions in multi-dimensional Burgers equation,

J. Rottmann-Matthes,

*Nonlinearity*, vol. 30, no. 12, 4558, November 2017 – BibTeX - Strang splitting for a semilinear Schrödinger equation with damping and forcing,

T. Jahnke, M. Mikl, R. Schnaubelt,

*J. Math. Anal. Appl.*, vol. 455, issue 2, pp. 1051–1071, November 2017 – BibTeX - Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities,

M.-R. Choi, D. Hundertmark, Y.-R. Lee,

*J. Math. Phys.*, vol. 58, issue 10, 101513, October 2017 – BibTeX - Spectrum of a singular pertubed periodic thin waveguide,

G. Cardone, A. Khrabustovskyi,

*J. Math. Anal. Appl.*, vol. 454, issue 2, pp. 673–694, October 2017 – BibTeX - Trigonometric time integrators for the Zakharov system,

S. Herr, K. Schratz,

*IMA J. Numer. Anal.*, vol. 37, issue 4, pp. 2042–2066, October 2017 – BibTeX - On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space \(M_{p,q}(\mathbb{R})\),

L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos,

, vol. 263, issue 8, pp. 4429–4441, October 2017 – BibTeX*J. Differ. Equ.* - Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities,

D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky,

*J. Differ. Equ.*, vol. 265, issue 8, pp. 3311–3338, October 2018 – BibTeX - Dispersion managed solitons in the presence of saturated nonlinearity,

D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky,

*Physica D*, vol. 356-357, pp. 65–69, October 2017 – BibTeX - Stable foliations near a traveling front for reaction diffusion systems,

Y. Latushkin, R. Schnaubelt, X. Yang,

*Discrete Contin. Dyn. Syst. Ser. B*, vol. 22, issue 8, pp. 3145–3165, October 2017 – BibTeX - Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

A. Hirsch, W. Reichel,

*Z. Anal. Anwend.*, vol. 36, issue 4, pp. 419–435, September 2017 – BibTeX - Stable and convergent fully discrete interior–exterior coupling of Maxwell's equations,

B. Kovács, C. Lubich,

*Numer. Math.*, vol. 137, issue 1, pp. 91–117, September 2017 – BibTeX - Multilevel local time-stepping methods of Runge–Kutta-type for wave equations,

M. Almquist, M. Mehlin,

*SIAM J. Sci. Comput.*, vol. 39, issue 5, pp. A2020–A2048, September 2017 – BibTeX - Finite element heterogeneous multiscale method for time-dependent Maxwell's equations,

M. Hochbruck, C. Stohrer,

*Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2016*, ISBN 978-3-319-65870-4,

pp. 269–281, August 2017 – BibTeX - An exponential-type integrator for the KdV equation,

M. Hofmanová, K. Schratz,

*Numer. Math.*, vol. 137, issue 4, pp. 1117–1137, August 2017 – BibTeX - Derivation of the Hartree equation for compound Bose gases in the mean field limit,

I. Anapolitanos, M. Hott, D. Hundertmark,

*Rev. Math. Phys.*, vol. 29, no. 7, 1750022, August 2017 – BibTeX - Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules,

J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,

*Arch. Ration. Mech. Anal.*, vol. 225, issue 2, pp. 601–661, August 2017 – BibTeX - Microresonator-based solitons for massively parallel coherent optical communications,

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, C. Koos,

*Nature*, vol. 546, pp. 274–279, June 2017 – BibTeX - Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime,

P. Krämer, K. Schratz,

*J. Computat. Appl. Math.*, vol. 316, pp. 247–259, May 2017 – BibTeX - Subwavelength focusing of Bloch surface waves,

M.-S. Kim, B. V. Lahijani, N. Descharmes, J. Straubel, F. Negredo, C. Rockstuhl, M. Häyrinen, M. Kuittinen, M. Roussey, H. P. Herzig,

*ACS Photonics*, vol. 4, no. 6, pp. 1477–1483, May 2017 – BibTeX - On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations,

P. Ciarlet, S. Fliss, C. Stohrer,

*Comp. Math. Appl.*, vol. 73, no. 9, pp. 1900–1919, May 2017 – BibTeX - New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains,

P. Kunstmann, L. Weis,

*J. Evol. Equ.*, vol. 17, issue 1, pp. 387–409, March 2017 – BibTeX - Metastable energy strata in numerical discretizations of weakly nonlinear wave equations,

L. Gauckler, D. Weiss,

*Discrete Contin. Dyn. Syst.*, vol. 37, issue 7, pp. 3721–3747, March 2017 – BibTeX - A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation,

R. Mandel, W. Reichel,

*SIAM J. Appl. Math.*, vol. 77, no. 1, pp. 315–345, February 2017 – BibTeX, Supplementary files (ZIP, 21kB) - Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior,

A. Anikushyn, M. Pokojovy,

*Appl. Anal.*, vol. 96, issue 9, pp. 1561–1585, February 2017 – BibTeX - Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations,

M. Hochbruck, T. Pažur,

*Numer. Math.*, vol. 135, issue 2, pp. 547–569, February 2017 – BibTeX - Numerical analysis of parabolic problems with dynamic boundary conditions,

B. Kovács, C. Lubich,

*IMA J. Numer. Anal.*, vol. 37, issue 1, pp. 1–39, January 2017 – BibTeX

### 2016

- A simple proof of convergence to the Hartree dynamics in Sobolev trace norms,

I. Anapolitanos, M. Hott,

*J. Math. Phys.*, vol. 57, no. 12, 122108, December 2016 – BibTeX - From the Klein–Gordon–Zakharov system to the Klein–Gordon equation,

M. Daub, G. Schneider, K. Schratz,

*Math. Methods Appl. Sci.*, vol. 39, issue 18, pp. 5371–5380, December 2016 – BibTeX - Transverse multipolar light-matter couplings in evanescent waves,

I. Fernandez-Corbaton, X. Zambrana-Puyalto, N. Bonod, C. Rockstuhl,

*Phys. Rev. A*, vol. 94, issue 5, 053822, November 2016 – BibTeX - Error analysis of a second-order locally implicit method for linear Maxwell's equations,

M. Hochbruck, A. Sturm,

*SIAM J. Numer. Anal.*, vol. 54, no. 5, pp. 3167–3191, October 2016 – BibTeX - Cavity-enhanced and ultrafast superconducting single-photon detectors,

A. Vetter, S. Ferrari, P. Rath, R. Alaee, O. Kahl, V. Kovalyuk, S. Diewald, G. N. Goltsman, A. Korneev, C. Rockstuhl, W. H. P. Pernice,

*Nano Lett.*, vol. 16, issue 11, pp. 7085–7092, October 2016 – BibTeX - Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation,

J. Eilinghoff, R. Schnaubelt, K. Schratz,

*J. Math. Anal. Appl.*, vol. 442, no. 2, pp. 740–760, October 2016 – BibTeX - Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration,

R. Alaee, M. Kadic, C. Rockstuhl, A. Passian,

*Appl. Phys. Lett.*, vol. 109, issue 14, 141102, October 2016 – BibTeX - Ground states of a nonlinear curl-curl problem in cylindrically symmetric media,

T. Bartsch, T. Dohnal, M. Plum, W. Reichel,

*Nonlinear Differential Equations Appl.*, vol. 23, no. 52, pp. 1–34, October 2016 – BibTeX - Long-term analysis of semilinear wave equations with slowly varying wave speed,

L. Gauckler, E. Hairer, C. Lubich,

*Commun. Part. Diff. Eq.*, vol. 41, no. 12, pp. 1934–1959, September 2016 – BibTeX - Hybrid 2D/3D Photonic Integration for Non-Planar Circuit Topologies,

A. Nesic, M. Blaicher, T. Hoose, M. Lauermann, Y. Kutuvantavida, W. Freude, C. Koos,

*42th European Conf. Opt. Commun. (ECOC'16)*, pp. 707–709, September 2016 – BibTeX - Optical force and torque on dipolar dual chiral particles,

A. Rahimzadegan, M. Fruhnert, R. Alaee, I. Fernandez-Corbaton, C. Rockstuhl,

*Phys. Rev. B*, vol. 94, issue 12, 125123, September 2016 – BibTeX - Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity,

A. Kirsch, A. Rieder,

*Inverse Problems*, vol. 32, no. 8, 085001, June 2016 – BibTeX - 50 Tbit/s Massively Parallel WDM Transmission in C and L Band Using Interleaved Cavity-Soliton Kerr Combs,

P. Marin, J. Pfeifle, M. Karpov, P. Trocha, R. Rosenberger, K. Vijayan, S. Wolf, J. Kemal, A. Kordts, M. Pfeiffer, V. Brasch, W. Freude, T. J. Kippenberg, C. Koos,

*Conf. Lasers Electro Optics*, STu1G.1, June 2016 – BibTeX - On a parabolic-hyperbolic filter for multicolor image noise reduction,

V. Maltsev, M. Pokojovy,

*Evol. Equ. Control The.*, vol. 5, no. 2, pp. 251–272, May 2016 – BibTeX - Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane,

A. Khrabustovskyi, M. Plum,

*Asymptotic Anal.*, vol. 98, no. 1–2, pp. 91–130, May 2016 – BibTeX - A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients,

M. Plum, W. Reichel,

*J. Elliptic Parabol. Equ.*, vol. 2, issue 1–2, pp. 371–387, April 2016 – BibTeX - Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems,

W. Dörfler, S. Findeisen, C. Wieners,

*Computational Methods in Applied Mathematics*, vol. 16, no. 3, pp. 409–428, March 2016 – BibTeX - Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition,

D. Barseghyan, P. Exner, A. Khrabustovskyi, M. Tater,

*J. Phys. A*, vol. 49, no. 16, 165302, March 2016 – BibTeX - Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy,

S. Schmidt, A. E. Klein, T. Paul, H. Gross, S. Diziain, M. Steinert, A. C. Assafrao, T. Pertsch, C. Rockstuhl,

*Opt. Express*, vol. 24, issue 4, pp. 4128–4142, February 2016 – BibTeX

### 2015

- Exact dipolar moments of a localized electric current distribution,

I. Fernandez-Corbaton, S. Nanz, R. Alaee, C. Rockstuhl,

*Opt. Express*, vol. 39, issue 18, pp. 5371–5380, December 2015 – BibTeX