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Preprints

2017

  1. Spectrum of a singular pertubed periodic thin waveguide,
    G. Cardone, A. Khrabustovskyi, 08/2017 – BibTeX
  2. Entropy decay for the Kac evolution,
    F. Bonetto, A. Geisinger, M. Loss, T. Ried, 07/2017 – BibTeX
  3. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, 07/2017 – BibTeX
  4. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space,
    Z. Brzeźniak, F. Hornung, L. and Weis, 07/2017 – BibTeX
  5. A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem,
    A. Kirsch, A. Lechleiter, 06/2017 – BibTeX
  6. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, 06/2017 – BibTeX
  7. Rayleigh-Ritz approximation of the inf-sup constant for the divergence,
    D. Gallistl, 06/2017 – BibTeX
  8. The definition and measurement of electromagnetic chirality,
    T. Arens, F. Hagemann, F. Hettlich, A. Kirsch, 06/2017 – BibTeX
  9. Beyond local effective material properties for metamaterials,
    K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl, 05/2017 – BibTeX
  10. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, 05/2017 – BibTeX
  11. Low regularity exponential-type integrators for semilinear Schrödinger equations,
    A. Ostermann, K. Schratz, 05/2017 – BibTeX
  12. Dispersion managed solitons in the presence of saturated nonlinearity,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, 05/2017 – BibTeX
  13. On the convergence of Lawson methods for semilinear stiff problems,
    M. Hochbruck, A. Ostermann, 04/2017 – BibTeX
  14. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, 03/2017
     –  see revision 2017/16
  15. Derivation of the Hartree equation for compound Bose gases in the mean field limit,
    I. Anapolitanos, M. Hott, D. Hundertmark, 03/2017 – BibTeX
  16. Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law,
    L. Hornung, 03/2017 – BibTeX
  17. Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, R. Schnaubelt, online first, 03/2017 – BibTeX
  18. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, 03/2017 –  see revision 2017/12
  19. Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations,
    L. Banjai, C. Lubich, 02/2017 – BibTeX
  20. Oscillating solutions for nonlinear Helmholtz equations,
    R. Mandel, E. Montefusco, B. Pellacci, 02/2017 – BibTeX
  21. Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting, S. Baumstark, E. Faou, K. Schratz, to appear in Math. Comp., 01/2017 – BibTeX

2016

  1. An exponential-type integrator for the KdV equation,
    M. Hofmanová, K. Schratz, Numerische Mathematik, online first, 12/2016 – BibTeX
  2. An IMEX-RK scheme for capturing similarity solutions in multidimensional Burger's equation,
    J. Rottmann-Matthes, 12/2016 – BibTeX
  3. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder, 12/2016, revised 08/2017 – BibTeX, Supplementary files (ZIP, 7kB)
  4. Freezing traveling and rotating waves in second order evolution equations,
    W.-J. Beyn, D. Otten, J. Rottmann-Matthes, 11/2016 – BibTeX
  5. A splitting approach for freezing waves,
    R. Flohr, J. Rottmann-Matthes, 11/2016 – BibTeX
  6. Quasilinear parabolic stochastic evolution equations via L^p-regularity,
    L. Hornung, 11/2016, revised 01/2017 – BibTeX
  7. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,
    B. Kovács, C. Lubich, Numerische Mathematik, online first, 11/2016 – BibTeX
  8. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,
    F. Hornung, 11/2016, revised 09/2017 – BibTeX
  9. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms,
    I. Anapolitanos, M. Hott, to appear in J. Math. Phys., 11/2016 – BibTeX
  10. Local well-posedness for the nonlinear Schrödinger equation in modulation space M_{p,q}^s(R^d),
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, 10/2016 – BibTeX
  11. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients,
    M. Plum, W. Reichel, 10/2016 – BibTeX
  12. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
    T. Jahnke, M. Mikl, 10/2016 – BibTeX
  13. Freezing similarity solutions in multi-dimensional Burger's equation,
    J. Rottmann-Matthes, 10/2016 – BibTeX
  14. New criteria for the H^∞-calculus and the Stokes operator on bounded Lipschitz domains,
    P. Kunstmann and L. Weis, 10/2016 – BibTeX
  15. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations,
    M. Hochbruck, C. Stohrer, 10/2016, revised 06/2017 – BibTeX
  16. 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, Comput. Math. Appl., online first, 10/2016 – BibTeX
  17. Trigonometric time integrators for the Zakharov system,
    S. Herr, K. Schratz, to appear in IMA J. Numer. Anal., 10/2016 – BibTeX
  18. 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., online first, 09/2016 – BibTeX
  19. On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q}(R), L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, 09/2016 – BibTeX
  20. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities,
    M.-R. Choi, D. Hundertmark, Y.-R. Lee, 09/2016 – BibTeX
  21. Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime,
    P. Krämer, K. Schratz, 07/2016 – BibTeX
  22. Stable foliations near a traveling front for reaction diffusion systems,
    Y. Latushkin, R. Schnaubelt, X. Yang, Discrete Contin. Dyn. Syst. Ser. B, online first, 07/2016 – BibTeX
  23. Blow-up for nonlinear Maxwell equations,
    P. D’Ancona, S. Nicaise, R. Schnaubelt, 07/2016 – BibTeX
  24. Multi-level local time-stepping methods of Runge-Kutta type for wave equations,
    M. Almquist, M. Mehlin, 07/2016 – BibTeX
  25. Computation and Stability of Traveling Waves in Second Order Evolution Equations,
    W.-J. Beyn, D. Otten, J. Rottmann-Matthes, 06/2016 – BibTeX
  26. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients,
    A. Hirsch, W. Reichel, 06/2016 – BibTeX
  27. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations,
    L. Gauckler, D. Weiß, to appear in DCDS-A, 05/2016 – BibTeX, Supplementary files (ZIP, 3kB)
  28. Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations,
    B. Kovács, C. Lubich, 05/2016 – BibTeX
  29. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior,
    A. Anikushyn, M. Pokojovy, 05/2016 – BibTeX
  30. On a parabolic-hyperbolic filter for multicolor image noise reduction,
    V. Maltsev, M. Pokojovy, 05/2016 – BibTeX
  31. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, Numerische Mathematik, online first, 03/2016 – BibTeX
  32. 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, 03/2016 – BibTeX
  33. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation,
    R. Mandel, W. Reichel, 03/2016, revised 10/2016 – BibTeX, Supplementary files (ZIP, 21kB)
  34. Long-term analysis of semilinear wave equations with slowly varying wave speed,
    L. Gauckler, E. Hairer, C. Lubich, 02/2016 – BibTeX
  35. From the Klein-Gordon-Zakharov system to the Klein-Gordon equation,
    M. Daub, G. Schneider, K. Schratz, 02/2016 – BibTeX
  36. Strang splitting for a semilinear Schrödinger equation with damping and forcing,
    T. Jahnke, M. Mikl, R. Schnaubelt, 02/2016 – BibTeX
  37. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation,
    J. Eilinghoff, R. Schnaubelt, K. Schratz, 01/2016 – BibTeX
  38. Asymptotic behavior of the ground state energy of a Fermionic Fröhlich multipolaron in the strong coupling limit,
    I. Anapolitanos, M. Hott, 01/2016 – BibTeX
  39. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity,
    A. Kirsch, A. Rieder, 01/2016 – BibTeX

2015

  1. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction, J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter, 12/2015 – BibTeX
  2. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition,
    D. Bargesghyan, P. Exner, A. Khrabustovskyi, M. Tater, 10/2015 – BibTeX
  3. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane,
    A. Khrabustovskyi, M. Plum, to appear in Asymptotic Analysis, 10/2015 – BibTeX
  4. Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems,
    W. Dörfler, S. Findeisen, C. Wieners, 10/2015, revised 03/2016 – BibTeX
  5. 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, and S. Vugalter, Arch. Rational Mech. Anal., online first, 09/2015 – BibTeX
  6. Existence of dispersion management solitons for general nonlinearities,
    M.-R. Choi, D. Hundertmark and Y.-R. Lee, 09/2015 – BibTeX, deprecated see major revision 2016/20
  7. Error analysis of a second-order locally implicit method for linear Maxwell's equations,
    M. Hochbruck and A. Sturm, to appear in SIAM J. Numer. Anal. 2016, 09/2015 – BibTeX