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Preprints

2018

  1. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation,
    J. Eilinghoff, T. Jahnke, R. Schnaubelt, August 2018 – BibTeX
  2. Weak marginale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise,
    Z. Brzeźniak, F. Hornung, U. Manna, July 2018 – BibTeX
  3. Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay, A. Anikushyn, M. Pokojovy, June 2018 – BibTeX
  4. Microlocal analysis of imaging operators for effective common offset seismic reconstruction,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder, June 2018 – BibTeX
  5. Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions,
    M. Spitz, May 2018 – BibTeX
  6. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions,
    M. Spitz, May 2018 – BibTeX
  7. Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field,
    E. Hairer, C. Lubich, April 2018 – BibTeX
  8. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials,
    A. Hirsch, W. Reichel, April 2018 – BibTeX
  9. Modulation type spaces of generators of polynomially bounded group and Schrödinger equations,
    P. C. Kunstmann, April 2018 – BibTeX
  10. On a fourth order nonlinear Helmholtz equation,
    D. Bonheure, J.-B. Casteras, R. Mandel, April 2018 – BibTeX
  11. Global secondary bifurcation, symmetry breaking and period-doubling,
    R. Mandel, March 2018, to appear in Topological Methods in Nonlinear Analysis – BibTeX
  12. Nonlinear Schrödinger equation, differentiation by parts and modulation spaces,
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos, February 2018, revised April 2018 – BibTeX

2017

  1. Polynomial stability for a system of coupled strings,
    Ł. Rzepnicki, R. Schnaubelt, December 2017 – BibTeX
  2. On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type methods,
    M. Hochbruck, J. Köhler, December 2017, revised March 2018 – BibTeX
  3. Exponential adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
    T. Jahnke, M. Mikl, December 2017 – BibTeX
  4. Error estimates in L^2 of an ADI splitting scheme for the inhomogeneous Maxwell equations,
    J. Eilinghoff, R. Schnaubelt, December 2017 – BibTeX
  5. NLS in the modulation space M_{2,q}(R),
    N. Pattakos, November 2017, revised April 2018 – BibTeX
  6. Numerical approximation of planar oblique derivative problems in nondivergence form,
    D. Gallistl, November 2017 – BibTeX
  7. Unified error analysis for non-conforming space discretizations of wave-type equations,
    D. Hipp, M. Hochbruck, C. Stohrer, to appear in IMA J. Numer. Anal., November 2017, revised June 2018 – BibTeX
  8. Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations,
    J. Eilinghoff, R. Schnaubelt, to appear in Discrete Contin. Dyn. Syst. (accepted), November 2017 – BibTeX
  9. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation,
    M. J. Grote, M. Mehlin, S. A. Sauter, October 2017 – BibTeX
  10. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations, R. Mandel, October 2017 – BibTeX
  11. Dual variational methods for a nonlinear Helmholtz system,
    R. Mandel, D. Scheider, October 2017 – BibTeX
  12. Operator estimates for the crushed ice problem,
    A. Khrabustovskyi, O. Post, October 2017 – BibTeX
  13. Interface conditions for a metamaterial with strong spatial dispersion,
    A. Khrabustovskyi, K. Mnasri, M. Plum, C. Stohrer, C. Rockstuhl, September 2017 – BibTeX
  14. Real-valued, time-periodic weak solutions for a semilinear wave equation with periodic δ-potential,
    A. Hirsch, W. Reichel, September 2017 –  outdated see major revision 2018/5
  15. Spectrum of a singular pertubed periodic thin waveguide,
    G. Cardone, A. Khrabustovskyi, August 2017 – BibTeX
  16. Entropy decay for the Kac evolution,
    F. Bonetto, A. Geisinger, M. Loss, T. Ried, July 2017 – BibTeX
  17. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, July 2017 – BibTeX
  18. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space,
    Z. Brzeźniak, F. Hornung, L. and Weis, July 2017 – BibTeX
  19. A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem,
    A. Kirsch, A. Lechleiter, June 2017 – BibTeX
  20. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, June 2017 – BibTeX
  21. Rayleigh-Ritz approximation of the inf-sup constant for the divergence,
    D. Gallistl, June 2017 – BibTeX
  22. The definition and measurement of electromagnetic chirality,
    T. Arens, F. Hagemann, F. Hettlich, A. Kirsch, June 2017 – BibTeX
  23. Beyond local effective material properties for metamaterials,
    K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl, May 2017 – BibTeX
  24. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, to appear in Mathematics of Computation, May 2017 – BibTeX
  25. Low regularity exponential-type integrators for semilinear Schrödinger equations,
    A. Ostermann, K. Schratz, May 2017 – BibTeX
  26. Dispersion managed solitons in the presence of saturated nonlinearity,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky, May 2017 – BibTeX
  27. On the convergence of Lawson methods for semilinear stiff problems,
    M. Hochbruck, A. Ostermann, April 2017, revised June 2018 – BibTeX
  28. The limiting absorption principle and a radiation condition for the scattering by a periodic layer,
    A. Kirsch, A. Lechleiter, March 2017     –  see revision 2017/16
  29. Derivation of the Hartree equation for compound Bose gases in the mean field limit,
    I. Anapolitanos, M. Hott, D. Hundertmark, March 2017 – BibTeX
  30. Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law,
    L. Hornung, March 2017 – BibTeX
  31. Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, R. Schnaubelt, online first, March 2017 – BibTeX
  32. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations, M. Hochbruck, A. Sturm, March 2017 –  see revision 2017/12
  33. Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations,
    L. Banjai, C. Lubich, February 2017 – BibTeX
  34. Oscillating solutions for nonlinear Helmholtz equations,
    R. Mandel, E. Montefusco, B. Pellacci, February 2017 – BibTeX
  35. 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., January 2017 – BibTeX

2016

  1. An exponential-type integrator for the KdV equation,
    M. Hofmanová, K. Schratz, Numerische Mathematik, online first, December 2016 – BibTeX
  2. An IMEX-RK scheme for capturing similarity solutions in multidimensional Burger's equation,
    J. Rottmann-Matthes, December 2016 – BibTeX
  3. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder, December 2016, revised August 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, November 2016 – BibTeX
  5. A splitting approach for freezing waves,
    R. Flohr, J. Rottmann-Matthes, November 2016 – BibTeX
  6. Quasilinear parabolic stochastic evolution equations via L^p-regularity,
    L. Hornung, November 2016, revised January 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, November 2016 – BibTeX
  8. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,
    F. Hornung, November 2016, revised September 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., November 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, October 2016 – BibTeX
  11. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients,
    M. Plum, W. Reichel, October 2016 – BibTeX
  12. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
    T. Jahnke, M. Mikl, October 2016 – BibTeX
  13. Freezing similarity solutions in multi-dimensional Burger's equation,
    J. Rottmann-Matthes, October 2016 – BibTeX
  14. New criteria for the H^∞-calculus and the Stokes operator on bounded Lipschitz domains,
    P. Kunstmann and L. Weis, October 2016 – BibTeX
  15. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations,
    M. Hochbruck, C. Stohrer, October 2016, revised June 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, October 2016 – BibTeX
  17. Trigonometric time integrators for the Zakharov system,
    S. Herr, K. Schratz, to appear in IMA J. Numer. Anal., October 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, September 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, September 2016 – BibTeX
  20. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities,
    M.-R. Choi, D. Hundertmark, Y.-R. Lee, September 2016 – BibTeX
  21. Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime,
    P. Krämer, K. Schratz, July 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, July 2016 – BibTeX
  23. Blow-up for nonlinear Maxwell equations,
    P. D’Ancona, S. Nicaise, R. Schnaubelt, July 2016 – BibTeX
  24. Multi-level local time-stepping methods of Runge-Kutta type for wave equations,
    M. Almquist, M. Mehlin, July 2016 – BibTeX
  25. Computation and Stability of Traveling Waves in Second Order Evolution Equations,
    W.-J. Beyn, D. Otten, J. Rottmann-Matthes, June 2016 – BibTeX
  26. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients,
    A. Hirsch, W. Reichel, June 2016 – BibTeX
  27. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations,
    L. Gauckler, D. Weiß, to appear in DCDS-A, May 2016 – BibTeX, Supplementary files (ZIP, 3kB)
  28. Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations,
    B. Kovács, C. Lubich, May 2016 – BibTeX
  29. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior,
    A. Anikushyn, M. Pokojovy, May 2016 – BibTeX
  30. On a parabolic-hyperbolic filter for multicolor image noise reduction,
    V. Maltsev, M. Pokojovy, May 2016 – BibTeX
  31. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, Numerische Mathematik, online first, March 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, March 2016 – BibTeX
  33. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation,
    R. Mandel, W. Reichel, March 2016, revised October 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, February 2016 – BibTeX
  35. From the Klein-Gordon-Zakharov system to the Klein-Gordon equation,
    M. Daub, G. Schneider, K. Schratz, February 2016 – BibTeX
  36. Strang splitting for a semilinear Schrödinger equation with damping and forcing,
    T. Jahnke, M. Mikl, R. Schnaubelt, February 2016 – BibTeX
  37. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation,
    J. Eilinghoff, R. Schnaubelt, K. Schratz, January 2016 – BibTeX
  38. Asymptotic behavior of the ground state energy of a Fermionic Fröhlich multipolaron in the strong coupling limit,
    I. Anapolitanos, M. Hott, January 2016 – BibTeX
  39. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity,
    A. Kirsch, A. Rieder, January 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, December 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, October 2015 – BibTeX
  3. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane,
    A. Khrabustovskyi, M. Plum, to appear in Asymptotic Analysis, October 2015 – BibTeX
  4. Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems,
    W. Dörfler, S. Findeisen, C. Wieners, October 2015, revised March 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, September 2015 – BibTeX
  6. Existence of dispersion management solitons for general nonlinearities,
    M.-R. Choi, D. Hundertmark and Y.-R. Lee, September 2015 –  outdated 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, SIAM J. Numer. Anal. 2016, September 2015 – BibTeX