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Publications

2020

  1. Boundary stabilization of quasilinear Maxwell equations,
    M. Pokojovy, R. Schnaubelt,
    J. Differ. Equ., vol. 268, issue 2, pp. 784-812, online first, January 2020 – BibTeX

2019

  1. Multiple solutions to a nonlinear curl–curl problem in \(\mathbb{R}^3\),
    J. Mederski, J. Schino, A. Szulkin,
    Arch. Rational Mech. Anal., pp. 1-36, online first, November 2019 – BibTeX
  2. A conformally invariant derivation of average electromagnetic helicity,
    I. Fernandez-Corbaton,
    Symmetry, vol. 11, no. 11, 1427, November 2019 – BibTeX
  3. On a Kelvin-Voigt viscoelastic wave equation with strong delay,
    H. Demchenko, A. Anikushyn, M. Pokojovy,
    SIAM J. Math. Anal., vol. 51, no. 6, pp. 4382-4412, November 2019 – BibTeX
  4. Heterogeneous multiscale method for Maxwell's equations,
    M. Hochbruck, B. Maier, and C. Stohrer,
    Multiscale Model. Sim., vol. 17, issue 4, pp. 1147-1171, October 2019 – BibTeX
  5. Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime,
    P. Krämer, K. Schratz, X. Zhao,
    J. Computat. Appl. Math., pp. 112494, online first, September 2019 – BibTeX
  6. Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory,
    J. Gärtner, P. Trocha, R. Mandel, C. Koos, T. Jahnke, W. Reichel,
    Phys. Rev. A, vol. 100, issue 3, pp. 033819, September 2019 – BibTeX
  7. Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation,
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos,
    SIAM J. Math. Anal., vol. 51, issue 5, pp. 3714-3749, September 2019 – BibTeX
  8. Homogenization of wire media with a general purpose nonlocal constitutive relation,
    K. Mnasri, F. Z. Goffi, M. Plum, C. Rockstuhl,
    J. Opt. Soc. Am. B, vol. 36, issue 8, pp. F99-F108, August 2019 – BibTeX
  9. NLS in the modulation space \(M_{2,q}(\mathbb{R})\),
    N. Pattakos,
    J. Fourier Anal. Appl., vol. 25, issue 4, pp. 1447–1486, August 2019 – BibTeX
  10. Hypocalcemia-induced slowing of human sinus node pacemaking,
    A. Loewe, Y. Lutz, D. Nairn, A. Fabbri, N. Nagy, N. Toth, X. Ye, D. H. Fuertinger, S. Genovesi, P. Kotanko, J. G. Raimann, S. Severi,
    Biophys. J., online first, July 2019 – BibTeX
  11. Solving inverse electromagnetic scattering problems via domain derivatives,
    F. Hagemann, T. Arens, T. Betcke, F. Hettlich,
    Inverse Problems, vol. 35, no. 8, pp. 084005, July 2019 – BibTeX
  12. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities,
    R. Mandel,
    Adv. Nonlinear Stud., vol. 19, issue 3, pp. 569–593, June 2019 – BibTeX
  13. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations,
    R. Mandel,
    Commun. Math. Phys., vol, 368, issue 2, pp. 799–842, June 2019 – BibTeX
  14. On a fourth order nonlinear Helmholtz equation,
    D. Bonheure, J.-B. Casteras, R. Mandel,
    J. Lond. Math. Soc., vol. 99, issue 3, pp. 831–852, June 2019 – BibTeX
  15. Global secondary bifurcation, symmetry breaking and period-doubling,
    R. Mandel,
    Topol. Methods Nonlinear Anal., vol. 53, no. 2, pp. 779-800, June 2019 – BibTeX
  16. 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, June 2019 – BibTeX
  17. Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses,
    A. Nesic, M. Blaicher, T. Hoose, A. Hofmann, M. Lauermann, Y. Kutuvantavida, M. Nöllenburg, S. Randel, W. Freude, C. Koos,
    Opt. Express, vol. 27, issue 12, pp. 17402, June 2019 – BibTeX
  18. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation,
    J. Eilinghoff, T. Jahnke, R. Schnaubelt,
    SIAM J. Numer. Anal., vol. 57, issue 3, pp. 1036–1057, May 2019 – BibTeX
  19. Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise,
    Z. Brzeźniak, F. Hornung, U. Manna,
    Stoch. PDE: Anal. Comp., online first, pp. 1–53, May 2019 – BibTeX
  20. 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
  21. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials,
    A. Hirsch, W. Reichel,
    Nonlinearity, vol. 32, no. 4, pp. 1408–1439, March 2019 – BibTeX
  22. Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound,
    I. Lasiecka, M. Pokojovy, X. Wan,
    Nonlinear Anal., online first, March 2019 – BibTeX
  23. Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations,
    P. C. Kunstmann,
    Semigroup Forum, online first, March 2019 – BibTeX
  24. Trigonometric integrators for quasilinear wave equations,
    L. Gauckler, J. Lu, J. L. Marzuola, F. Rousset, K. Schratz,
    Math. Comp., vol. 88, no. 316, pp. 717–749, March 2019 – BibTeX
  25. Parallel inelastic heterogeneous multi-scale simulations,
    R. S. Nejad, C. Wieners,
    In: S. Diebels, S. Rjasanow (Eds.) Multi-scale Simulation of Composite Materials, February 2019 – BibTeX
  26. Comparison of acoustic and elastic full‐waveform inversion of 2D towed‐streamer data in the presence of salt,
    N. Thiel, T. Hertweck, T. Bohlen,
    Geophys. Prospect., vol. 67, issue 2, pp. 349–361, February 2019 – BibTeX
  27. Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes, S. Baumstark, K. Schratz,
    SIAM J. Numer. Anal., vol. 57, issue 1, pp. 429–457, online first, February 2019 – BibTeX
  28. 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
  29. Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface,
    M. M. Müller, B. Maier, M. Hochbruck, C. Rockstuhl,
    Phys. Rev. B, vol. 99, issue 7, 075401, February 2019 – BibTeX
  30. 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
  31. 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
  32. Patient-specific identification of atrial flutter vulnerability–A computational approach to reveal latent reentry pathways
    A. Loewe, E. Poremba, T. Oesterlein, A. Luik, C. Schmitt, G. Seemann, O. Dössel
    Front. Physiol, vol. 9, pp. 1910, January 2019 – BibTeX
  33. 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
  34. 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
  35. On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type methods,
    M. Hochbruck, J. Köhler,
    In: F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126. Springer International Publishing. Pp. 135-144, January 2019 – BibTeX
  36. 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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,
    F. Hornung,
    J. Evol. Equ., vol. 18, issue 3, pp. 1085–1114, September 2018 – BibTeX
  10. 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
  11. 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
  12. 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
  13. A splitting approach for freezing waves,
    R. Flohr, J. Rottmann-Matthes,
    In: C. Klingenberg, M. Westdickenberg (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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. Quasilinear parabolic stochastic evolution equations via \(L^p\)-regularity,
    L. Hornung,
    Potential Anal., pp. 1–48, online first, January 2018 – BibTeX
  28. 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
  29. 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
  30. 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

  1. 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
  2. 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
  3. Oscillating solutions for nonlinear Helmholtz equations,
    R. Mandel, E. Montefusco, B. Pellacci,
    J. Appl. Math. Phys., 68:121, December 2017 – BibTeX
  4. 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
  5. Freezing similarity solutions in multi-dimensional Burgers equation,
    J. Rottmann-Matthes,
    Nonlinearity, vol. 30, no. 12, 4558, November 2017 – BibTeX
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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,
    J. Differ. Equ., vol. 263, issue 8, pp. 4429–4441, October 2017 – BibTeX
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. An exponential-type integrator for the KdV equation,
    M. Hofmanová, K. Schratz,
    Numer. Math., vol. 137, issue 4, pp. 1117–1137, August 2017 – BibTeX
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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)
  28. 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
  29. 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
  30. 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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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

  1. 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