Preprints

2020

1. T. Bohlen, M. R. Fernandez, J. Ernesti, C. Rheinbay, A. Rieder, and W. Christian. Visco-acoustic full waveform seismic inversion: from a DG forward solver to a Newton-CG inverse solver. CRC 1173 Preprint 2020/4, Karlsruhe Institute of Technology, February 2020. [bibtex]
2. J. Mederski and A. Szulkin. Sharp constant in the curl inequality and ground states for curl-curl problem with critical exponent. CRC 1173 Preprint 2020/3, Karlsruhe Institute of Technology, January 2020. [bibtex]
3. R. Mandel and D. Scheider. A limiting absorption principle for linear and nonlinear Helmholtz equations with a step potential. CRC 1173 Preprint 2020/2, Karlsruhe Institute of Technology, January 2020. [bibtex]
4. D. Scheider. Breather solutions of the cubic Klein–Gordon equation. CRC 1173 Preprint 2020/1, Karlsruhe Institute of Technology, January 2020. [bibtex]

2019

1. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $M^s_{p,q}(\mathbb{R}^d)\cap M_{\infty,1}(\mathbb{R}^d)$. CRC 1173 Preprint 2019/27, Karlsruhe Institute of Technology, December 2019. [bibtex]
2. M. Hochbruck and J. Leibold. Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. CRC 1173 Preprint 2019/26, Karlsruhe Institute of Technology, December 2019. [bibtex]
3. F. Z. Goffi, K. Lemrabet, and T. Arens. Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers. CRC 1173 Preprint 2019/25, Karlsruhe Institute of Technology, December 2019. [bibtex]
4. F. Z. Goffi, K. Mnasri, M. Plum, C. Rockstuhl, and A. Khrabustovskyi. Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. CRC 1173 Preprint 2019/24, Karlsruhe Institute of Technology, December 2019. [bibtex]
5. I. Glogić and B. Schörkhuber. Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. CRC 1173 Preprint 2019/23, Karlsruhe Institute of Technology, November 2019. [bibtex]
6. F. Klaus, P. Kunstmann, and N. Pattakos. Unconditional uniqueness of higher order nonlinear Schrödinger equations. CRC 1173 Preprint 2019/22, Karlsruhe Institute of Technology, November 2019. Revised version from December 2019. [bibtex]
7. I. Glogić, M. Maliborski, and B. Schörkhuber. Threshold for blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2019/21, Karlsruhe Institute of Technology, November 2019. [bibtex]
8. M. Hochbruck, J. Leibold, and A. Ostermann. On the convergence of Lawson methods for semilinear stiff problems. CRC 1173 Preprint 2019/20, Karlsruhe Institute of Technology, October 2019. [bibtex]
9. C. Carle, M. Hochbruck, and A. Sturm. On leapfrog-Chebyshev schemes. CRC 1173 Preprint 2019/19, Karlsruhe Institute of Technology, October 2019. [bibtex]
10. L. Chaichenets and N. Pattakos. On the global wellposedness of the Klein–Gordon equation for initial data in modulation spaces. CRC 1173 Preprint 2019/18, Karlsruhe Institute of Technology, October 2019. [bibtex]
11. R. Mandel. Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. CRC 1173 Preprint 2019/17, Karlsruhe Institute of Technology, October 2019. [bibtex]
12. A. Loewe, Y. Lutz, N. Nagy, A. Fabbri, C. Schweda, A. Varró, and S. Severi. Inter-species differences in the response of sinus node cellular pacemaking to changes of extracellular calcium. CRC 1173 Preprint 2019/16, Karlsruhe Institute of Technology, October 2019. [bibtex]
13. K. Zerulla. A uniformly exponentially stable ADI scheme for Maxwell equations. CRC 1173 Preprint 2019/15, Karlsruhe Institute of Technology, September 2019. [bibtex]
14. M. Hochbruck and J. Köhler. Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. CRC 1173 Preprint 2019/14, Karlsruhe Institute of Technology, September 2019. [bibtex]
15. G. Bruell and R. Granero-Belinchón. On a thin film model with insoluble surfactant. CRC 1173 Preprint 2019/13, Karlsruhe Institute of Technology, August 2019. [bibtex]
16. G. Bruell. Well-posedness and stability for a mixed order system arising in thin film equations with surfactant. CRC 1173 Preprint 2019/12, Karlsruhe Institute of Technology, July 2019. [bibtex]
17. F. Hornung. The stochastic nonlinear Schrödinger equation in unbounded domains and manifolds. CRC 1173 Preprint 2019/11, Karlsruhe Institute of Technology, June 2019. [bibtex]
18. A. Kirsch and A. Rieder. Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. CRC 1173 Preprint 2019/10, Karlsruhe Institute of Technology, June 2019. Revised version from October 2019. [bibtex]
19. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. On the global well-posedness of the quadratic NLS on $L^2(\mathbb{R})+H^1(\mathbb{T})$. CRC 1173 Preprint 2019/9, Karlsruhe Institute of Technology, April 2019. Revised version from October 2019. [bibtex]
20. L. Chaichenets and N. Pattakos. The global Cauchy problem for the NLS with higher order anisotropic dispersion. CRC 1173 Preprint 2019/8, Karlsruhe Institute of Technology, April 2019. [bibtex]
21. S. Baumstark, G. Schneider, and K. Schratz. Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. CRC 1173 Preprint 2019/7, Karlsruhe Institute of Technology, March 2019. [bibtex]
22. I. Anapolitanos, M. Lewin, and M. Roth. Differentiability of the van der Waals interaction between two atoms. CRC 1173 Preprint 2019/6, Karlsruhe Institute of Technology, February 2019. [bibtex]
23. J.-B. Casteras and R. Mandel. On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. CRC 1173 Preprint 2019/5, Karlsruhe Institute of Technology, February 2019. [bibtex]
24. S. Baumstark and K. Schratz. Asymptotic preserving trigonometric integrators for the quantum Zakharov system. CRC 1173 Preprint 2019/4, Karlsruhe Institute of Technology, January 2019. [bibtex]
25. Y. Pan, L. Gao, and T. Bohlen. High-resolution characterization of near-surface structures by surface-wave inversions: From dispersion curve to full waveform. CRC 1173 Preprint 2019/3, Karlsruhe Institute of Technology, January 2019. [bibtex]
26. S. Herr, T. Lamm, T. Schmid, and R. Schnaubelt. Biharmonic wave maps: local wellposedness in high regularity. CRC 1173 Preprint 2019/2, Karlsruhe Institute of Technology, January 2019. Revised version from March 2019. [bibtex]
27. J. Mederski, J. Schino, and A. Szulkin. Multiple solutions to a nonlinear curl-curl problem in $\mathbb{R}^3$. CRC 1173 Preprint 2019/1, Karlsruhe Institute of Technology, January 2019. [bibtex]

2018

1. 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. CRC 1173 Preprint 2018/56, Karlsruhe Institute of Technology, December 2018. [bibtex]
2. J. Mederski. General class of optimal Sobolev inequalities and nonlinear scalar field equations. CRC 1173 Preprint 2018/55, Karlsruhe Institute of Technology, December 2018. [bibtex]
3. M. Hochbruck, B. Maier, and C. Stohrer. Heterogeneous multiscale method for Maxwell's equations. CRC 1173 Preprint 2018/54, Karlsruhe Institute of Technology, December 2018. Revised version from July 2019. [bibtex]
4. D. Hipp and B. Kovács. Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. CRC 1173 Preprint 2018/53, Karlsruhe Institute of Technology, December 2018. Revised version from January 2020. [bibtex]
5. K. Schratz and X. Zhao. On the comparison of asymptotic expansion techniques for the nonlinear Klein–Gordon equation in the nonrelativistic limit regime. CRC 1173 Preprint 2018/52, Karlsruhe Institute of Technology, December 2018. [bibtex]
6. T. Schmid. Energy bounds for biharmonic wave maps in low dimensions. CRC 1173 Preprint 2018/51, Karlsruhe Institute of Technology, December 2018. [bibtex]
7. L. Gauckler, J. Lu, J. L. Marzuola, F. Rousset, and K. Schratz. Trigonometric integrators for quasilinear wave equations. CRC 1173 Preprint 2018/50, Karlsruhe Institute of Technology, December 2018. [bibtex]
8. M. Hofmanová, M. Knöller, and K. Schratz. Randomized exponential integrators for modulated nonlinear Schrödinger equations. CRC 1173 Preprint 2018/49, Karlsruhe Institute of Technology, December 2018. [bibtex]
9. M. Pokojovy and R. Schnaubelt. Boundary stabilization of quasilinear Maxwell equations. CRC 1173 Preprint 2018/48, Karlsruhe Institute of Technology, December 2018. [bibtex]
10. 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. CRC 1173 Preprint 2018/47, Karlsruhe Institute of Technology, December 2018. [bibtex]
11. R. Schnaubelt and M. Spitz. Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. CRC 1173 Preprint 2018/46, Karlsruhe Institute of Technology, December 2018. [bibtex]
12. S. Herr, T. Lamm, and R. Schnaubelt. Biharmonic wave maps into spheres. CRC 1173 Preprint 2018/45, Karlsruhe Institute of Technology, December 2018. Revised version from June 2019. [bibtex]
13. J. Gärtner, R. Mandel, and W. Reichel. The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. CRC 1173 Preprint 2018/44, Karlsruhe Institute of Technology, November 2018. [bibtex]
14. R. Bauer, P. Cummings, and G. Schneider. A model for the periodic water wave problem and its long wave amplitude equations. CRC 1173 Preprint 2018/43, Karlsruhe Institute of Technology, November 2018. [bibtex]
15. G. Schneider. The KdV approximation for a system with unstable resonances. CRC 1173 Preprint 2018/42, Karlsruhe Institute of Technology, November 2018. [bibtex]
16. T. Haas and G. Schneider. Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. CRC 1173 Preprint 2018/41, Karlsruhe Institute of Technology, November 2018. [bibtex]
17. S. Baumstark, G. Schneider, K. Schratz, and D. Zimmermann. Effective slow dynamics models for a class of dispersive systems. CRC 1173 Preprint 2018/40, Karlsruhe Institute of Technology, November 2018. [bibtex]
18. I. Glogić and B. Schörkhuber. Co-dimension one stable blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2018/39, Karlsruhe Institute of Technology, November 2018. [bibtex]
19. S. Baumstark and K. Schratz. Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes. CRC 1173 Preprint 2018/38, Karlsruhe Institute of Technology, November 2018. [bibtex]
20. W. Dörfler and R. Nürnberg. Discrete gradient flows for general curvature energies. CRC 1173 Preprint 2018/37, Karlsruhe Institute of Technology, November 2018. [bibtex]
21. R. Mandel. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities. CRC 1173 Preprint 2018/36, Karlsruhe Institute of Technology, November 2018. [bibtex]
22. R. Schnaubelt and M. Spitz. Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. CRC 1173 Preprint 2018/35, Karlsruhe Institute of Technology, November 2018. [bibtex]
23. F. Hagemann, T. Arens, T. Betcke, and F. Hettlich. Solving inverse electromagnetic scattering problems via domain derivatives. CRC 1173 Preprint 2018/34, Karlsruhe Institute of Technology, November 2018. [bibtex]
24. P. Krämer, K. Schratz, and X. Zhao. Splitting methods for nonlinear Dirac equations with thirring type interaction in the nonrelativistic limit regime. CRC 1173 Preprint 2018/33, Karlsruhe Institute of Technology, November 2018. [bibtex]
25. R. Mandel and D. Scheider. Bifurcations of nontrivial solutions of a cubic Helmholtz system. CRC 1173 Preprint 2018/32, Karlsruhe Institute of Technology, November 2018. [bibtex]
26. I. Lasiecka, M. Pokojovy, and X. Wan. Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. CRC 1173 Preprint 2018/31, Karlsruhe Institute of Technology, November 2018. [bibtex]
27. I. Lasiecka, M. Pokojovy, and R. Schnaubelt. Exponential decay of quasilinear Maxwell equations with interior conductivity. CRC 1173 Preprint 2018/30, Karlsruhe Institute of Technology, October 2018. [bibtex]
28. D. Bonheure, P. D'Avenia, A. Pomponio, and W. Reichel. Equilibrium measures and equilibrium potentials in the Born–Infeld model. CRC 1173 Preprint 2018/29, Karlsruhe Institute of Technology, October 2018. [bibtex]
29. T. Jahnke and B. Stein. Stochastic Galerkin-collocation splitting for PDEs with random parameters. CRC 1173 Preprint 2018/28, Karlsruhe Institute of Technology, October 2018. [bibtex]
30. A. Anikushyn, A. Demchenko, and M. Pokojovy. On a Kelvin–Voigt viscoelastic wave equation with strong delay. CRC 1173 Preprint 2018/27, Karlsruhe Institute of Technology, October 2018. [bibtex]
31. G. Bruell and R. N. Dhara. Waves of maximal height for a class of nonlocal equations with homogeneous symbols. CRC 1173 Preprint 2018/26, Karlsruhe Institute of Technology, October 2018. [bibtex]
32. I. Anapolitanos and M. Lewin. Compactness of molecular reaction paths in quantum mechanics. CRC 1173 Preprint 2018/25, Karlsruhe Institute of Technology, September 2018. [bibtex]
33. D. Hundertmark, P. Kunstmann, T. Ried, and S. Vugalter. Cwikel's bound reloaded. CRC 1173 Preprint 2018/24, Karlsruhe Institute of Technology, September 2018. [bibtex]
34. M. Feischl and C. Schwab. Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities. CRC 1173 Preprint 2018/23, Karlsruhe Institute of Technology, August 2018. [bibtex]
35. J. Dick, M. Feischl, and C. Schwab. Improved efficiency of a multi-index FEM for computational uncertainty quantification. CRC 1173 Preprint 2018/22, Karlsruhe Institute of Technology, August 2018. [bibtex]
36. M. Feischl and D. Peterseim. Sparse compression of expected solution operators. CRC 1173 Preprint 2018/21, Karlsruhe Institute of Technology, August 2018. [bibtex]
37. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Knocking out teeth in one-dimensional periodic NLS. CRC 1173 Preprint 2018/20, Karlsruhe Institute of Technology, August 2018. Revised version from March 2019. [bibtex]
38. C. Wieners. A space-time Petrov–Galerkin method for linear wave equations (Lecture notes for Zurich Summer School 2016: Numerical Methods for Wave Propagation). CRC 1173 Preprint 2018/19, Karlsruhe Institute of Technology, August 2018. [bibtex]
39. Z. Brzeźniak, F. Hornung, and L. Weis. Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds. CRC 1173 Preprint 2018/18, Karlsruhe Institute of Technology, August 2018. [bibtex]
40. M. Hochbruck and A. Sturm. On leap-frog-Chebyshev schemes. CRC 1173 Preprint 2018/17, Karlsruhe Institute of Technology, August 2018. Outdated see major revision 2019/19. [bibtex]
41. T. Haas, B. de Rijk, and G. Schneider. Modulation equations near the Eckhaus boundary — The KdV equation —. CRC 1173 Preprint 2018/16, Karlsruhe Institute of Technology, August 2018. [bibtex]
42. J. Ernesti and C. Wieners. A space-time discontinuous Petrov–Galerkin method for acoustic waves. CRC 1173 Preprint 2018/15, Karlsruhe Institute of Technology, August 2018. [bibtex]
43. W. Dörfler, S. Findeisen, C. Wieners, and D. Ziegler. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. CRC 1173 Preprint 2018/14, Karlsruhe Institute of Technology, August 2018. [bibtex]
44. J. Ernesti and C. Wieners. Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. CRC 1173 Preprint 2018/13, Karlsruhe Institute of Technology, August 2018. Revised version from February 2019. [bibtex]
45. J. Eilinghoff, T. Jahnke, and R. Schnaubelt. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation. CRC 1173 Preprint 2018/12, Karlsruhe Institute of Technology, August 2018. [bibtex]
46. Z. Brzeźniak, F. Hornung, and U. Manna. Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. CRC 1173 Preprint 2018/11, Karlsruhe Institute of Technology, July 2018. [bibtex]
47. A. Anikushyn and M. Pokojovy. Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay. CRC 1173 Preprint 2018/10, Karlsruhe Institute of Technology, June 2018. [bibtex]
48. C. Grathwohl, P. Kunstmann, E. T. Quinto, and A. Rieder. Microlocal analysis of imaging operators for effective common offset seismic reconstruction. CRC 1173 Preprint 2018/9, Karlsruhe Institute of Technology, June 2018. Revised version from August 2018. [bibtex]
49. M. Spitz. Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/8, Karlsruhe Institute of Technology, May 2018. [bibtex]
50. M. Spitz. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/7, Karlsruhe Institute of Technology, May 2018. [bibtex]
51. E. Hairer and C. Lubich. Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. CRC 1173 Preprint 2018/6, Karlsruhe Institute of Technology, April 2018. [bibtex]
52. A. Hirsch and W. Reichel. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. CRC 1173 Preprint 2018/5, Karlsruhe Institute of Technology, April 2018. [bibtex]
53. P. C. Kunstmann. Modulation type spaces of generators of polynomially bounded group and Schrödinger equations. CRC 1173 Preprint 2018/4, Karlsruhe Institute of Technology, April 2018. [bibtex]
54. D. Bonheure, J.-B. Casteras, and R. Mandel. On a fourth order nonlinear Helmholtz equation. CRC 1173 Preprint 2018/3, Karlsruhe Institute of Technology, April 2018. [bibtex]
55. R. Mandel. Global secondary bifurcation, symmetry breaking and period-doubling. CRC 1173 Preprint 2018/2, Karlsruhe Institute of Technology, March 2018. [bibtex]
56. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. CRC 1173 Preprint 2018/1, Karlsruhe Institute of Technology, February 2018. Revised version from April 2018. [bibtex]

2017

1. Ł. Rzepnicki and R. Schnaubelt. Polynomial stability for a system of coupled strings. CRC 1173 Preprint 2017/35, Karlsruhe Institute of Technology, December 2017. [bibtex]
2. M. Hochbruck and J. Köhler. On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type methods. CRC 1173 Preprint 2017/34, Karlsruhe Institute of Technology, December 2017. Revised version from March 2018. [bibtex]
3. T. Jahnke and M. Mikl. Exponential adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2017/33, Karlsruhe Institute of Technology, December 2017. [bibtex]
4. J. Eilinghoff and R. Schnaubelt. Error estimates in $L^2$ of an ADI splitting scheme for the inhomogeneous Maxwell equations. CRC 1173 Preprint 2017/32, Karlsruhe Institute of Technology, December 2017. [bibtex]
5. N. Pattakos. NLS in the modulation space $M_{2,q}(\mathbb{R})$. CRC 1173 Preprint 2017/31, Karlsruhe Institute of Technology, November 2017. Revised version from April 2018. [bibtex]
6. D. Gallistl. Numerical approximation of planar oblique derivative problems in nondivergence form. CRC 1173 Preprint 2017/30, Karlsruhe Institute of Technology, November 2017. [bibtex]
7. D. Hipp, M. Hochbruck, and C. Stohrer. Unified error analysis for non-conforming space discretizations of wave-type equations. CRC 1173 Preprint 2017/29, Karlsruhe Institute of Technology, November 2017. Revised version from June 2018. [bibtex]
8. J. Eilinghoff and R. Schnaubelt. Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations. CRC 1173 Preprint 2017/28, Karlsruhe Institute of Technology, November 2017. [bibtex]
9. M. J. Grote, M. Mehlin, and S. A. Sauter. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. CRC 1173 Preprint 2017/27, Karlsruhe Institute of Technology, October 2017. [bibtex]
10. R. Mandel. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. CRC 1173 Preprint 2017/26, Karlsruhe Institute of Technology, October 2017. [bibtex]
11. R. Mandel and D. Scheider. Dual variational methods for a nonlinear Helmholtz system. CRC 1173 Preprint 2017/25, Karlsruhe Institute of Technology, October 2017. [bibtex]
12. A. Khrabustovskyi and O. Post. Operator estimates for the crushed ice problem. CRC 1173 Preprint 2017/24, Karlsruhe Institute of Technology, October 2017. [bibtex]
13. A. Khrabustovskyi, K. Mnasri, M. Plum, C. Stohrer, and C. Rockstuhl. Interface conditions for a metamaterial with strong spatial dispersion. CRC 1173 Preprint 2017/23, Karlsruhe Institute of Technology, September 2017. [bibtex]
14. A. Hirsch and W. Reichel. Real-valued, time-periodic weak solutions for a semilinear wave equation with periodic $\delta$-potential. CRC 1173 Preprint 2017/22, Karlsruhe Institute of Technology, September 2017. Outdated see major revision 2018/5. [bibtex]
15. G. Cardone and A. Khrabustovskyi. Spectrum of a singular pertubed periodic thin waveguide. CRC 1173 Preprint 2017/21, Karlsruhe Institute of Technology, August 2017. [bibtex]
16. F. Bonetto, A. Geisinger, M. Loss, and T. Ried. Entropy decay for the Kac evolution. CRC 1173 Preprint 2017/20, Karlsruhe Institute of Technology, July 2017. [bibtex]
17. D. Hundertmark, Y.-R. Lee, T. Ried, and V. Zharnitsky. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. CRC 1173 Preprint 2017/19, Karlsruhe Institute of Technology, July 2017. [bibtex]
18. Z. Brzeźniak, F. Hornung, and L. Weis. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. CRC 1173 Preprint 2017/18, Karlsruhe Institute of Technology, July 2017. [bibtex]
19. A. Kirsch and A. Lechleiter. A radiation condition arizing from the limiting absorption principle for a closed full- or half-waveguide problem. CRC 1173 Preprint 2017/17, Karlsruhe Institute of Technology, June 2017. [bibtex]
20. A. Kirsch and A. Lechleiter. The limiting absorption principle and a radiation condition for the scattering by a periodic layer. CRC 1173 Preprint 2017/16, Karlsruhe Institute of Technology, June 2017. [bibtex]
21. D. Gallistl. Rayleigh–Ritz approximation of the inf-sup constant for the divergens. CRC 1173 Preprint 2017/15, Karlsruhe Institute of Technology, June 2017. [bibtex]
22. T. Arens, F. Hagemann, F. Hettlich, and A. Kirsch. The definition and measurement of electromagnetic chirality. CRC 1173 Preprint 2017/14, Karlsruhe Institute of Technology, June 2017. [bibtex]
23. K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, and C. Rockstuhl. Beyond local effective material properties for metamaterials. CRC 1173 Preprint 2017/13, Karlsruhe Institute of Technology, May 2017. [bibtex]
24. M. Hochbruck and A. Sturm. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. CRC 1173 Preprint 2017/12, Karlsruhe Institute of Technology, May 2017. [bibtex]
25. A. Ostermann and K. Schratz. Low regularity exponential-type integrators for semilinear Schrödinger equations. CRC 1173 Preprint 2017/11, Karlsruhe Institute of Technology, May 2017. [bibtex]
26. D. Hundertmark, Y.-R. Lee, T. Ried, and V. Zharnitsky. Dispersion managed solitons in the presence of saturated nonlinearity. CRC 1173 Preprint 2017/10, Karlsruhe Institute of Technology, May 2017. [bibtex]
27. M. Hochbruck and A. Ostermann. On the convergence of Lawson methods for semilinear stiff problems. CRC 1173 Preprint 2017/9, Karlsruhe Institute of Technology, April 2017. Revised version from June 2018. Outdated see major revision 2019/20. [bibtex]
28. A. Kirsch and A. Lechleiter. The limiting absorption principle and a radiation condition for the scattering by a periodic layer. CRC 1173 Preprint 2017/8, Karlsruhe Institute of Technology, March 2017. See revision 2017/16. [bibtex]
29. I. Anapolitanos, M. Hott, and D. Hundertmark. Derivation of the Hartree equation for compound Bose gases in the mean field limit. CRC 1173 Preprint 2017/7, Karlsruhe Institute of Technology, March 2017. [bibtex]
30. L. Hornung. Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law. CRC 1173 Preprint 2017/6, Karlsruhe Institute of Technology, March 2017. [bibtex]
31. M. Hochbruck, T. Pažur, and R. Schnaubelt. Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2017/5, Karlsruhe Institute of Technology, March 2017. [bibtex]
32. M. Hochbruck and A. Sturm. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. CRC 1173 Preprint 2017/4, Karlsruhe Institute of Technology, March 2017. See revision 2017/12. [bibtex]
33. L. Banjai and C. Lubich. Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. CRC 1173 Preprint 2017/3, Karlsruhe Institute of Technology, February 2017. [bibtex]
34. R. Mandel, E. Montefusco, and B. Pellacci. Oscillating solutions for nonlinear Helmholtz equations. CRC 1173 Preprint 2017/2, Karlsruhe Institute of Technology, February 2017. [bibtex]
35. S. Baumstark, E. Faou, and K. Schratz. Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. CRC 1173 Preprint 2017/1, Karlsruhe Institute of Technology, January 2017. [bibtex]

2016

1. M. Hofmanová and K. Schratz. An exponential-type integrator for the KdV equation. CRC 1173 Preprint 2016/39, Karlsruhe Institute of Technology, December 2016. [bibtex]
2. J. Rottmann-Matthes. An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers' equation. CRC 1173 Preprint 2016/38, Karlsruhe Institute of Technology, December 2016. [bibtex]
3. C. Grathwohl, P. Kunstmann, E. T. Quinto, and A. Rieder. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. CRC 1173 Preprint 2016/37, Karlsruhe Institute of Technology, December 2016. Revised version from August 2017. [bibtex]
4. W.-J. Beyn, D. Otten, and J. Rottmann-Matthes. Freezing traveling and rotating waves in second order evolution equations. CRC 1173 Preprint 2016/36, Karlsruhe Institute of Technology, November 2016. [bibtex]
5. R. Flohr and J. Rottmann-Matthes. A splitting approach for freezing waves. CRC 1173 Preprint 2016/35, Karlsruhe Institute of Technology, November 2016. [bibtex]
6. L. Hornung. Quasilinear parabolic stochastic evolution equations via $L^p$-regularity. CRC 1173 Preprint 2016/34, Karlsruhe Institute of Technology, November 2016. Revised version from January 2017. [bibtex]
7. B. Kovács and C. Lubich. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. CRC 1173 Preprint 2016/33, Karlsruhe Institute of Technology, November 2016. [bibtex]
8. F. Hornung. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. CRC 1173 Preprint 2016/32, Karlsruhe Institute of Technology, November 2016. Revised version from September 2017. [bibtex]
9. I. Anapolitanos and M. Hott. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. CRC 1173 Preprint 2016/31, Karlsruhe Institute of Technology, November 2016. [bibtex]
10. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. Local well-posedness for the nonlinear Schrödinger equation in modulation space $M^s_{p,q}(\mathbb{R}^d)$. CRC 1173 Preprint 2016/30, Karlsruhe Institute of Technology, October 2016. Outdated see major revision 2019/27. [bibtex]
11. M. Plum and W. Reichel. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. CRC 1173 Preprint 2016/29, Karlsruhe Institute of Technology, October 2016. [bibtex]
12. T. Jahnke and M. Mikl. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2016/28, Karlsruhe Institute of Technology, October 2016. [bibtex]
13. J. Rottmann-Matthes. Freezing similarity solutions in multi-dimensional Burger's equation. CRC 1173 Preprint 2016/27, Karlsruhe Institute of Technology, October 2016. [bibtex]
14. P.-C. Kunstmann and L. Weis. New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. CRC 1173 Preprint 2016/26, Karlsruhe Institute of Technology, October 2016. [bibtex]
15. M. Hochbruck and C. Stohrer. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations. CRC 1173 Preprint 2016/25, Karlsruhe Institute of Technology, October 2016. Revised version from June 2017. [bibtex]
16. P. Ciarlet, 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. CRC 1173 Preprint 2016/24, Karlsruhe Institute of Technology, October 2016. [bibtex]
17. S. Herr and K. Schratz. Trigonometric time integrators for the Zakharov system. CRC 1173 Preprint 2016/23, Karlsruhe Institute of Technology, October 2016. [bibtex]
18. 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. CRC 1173 Preprint 2016/22, Karlsruhe Institute of Technology, September 2016. [bibtex]
19. L. Chaichenets, D. Hundertmark, P. Kunstmann, and N. Pattakos. On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space $M_{p,q}(\mathbb{R})$. CRC 1173 Preprint 2016/21, Karlsruhe Institute of Technology, September 2016. [bibtex]
20. M.-R. Choi, D. Hundertmark, and Y.-R. Lee. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. CRC 1173 Preprint 2016/20, Karlsruhe Institute of Technology, September 2016. [bibtex]
21. P. Krämer and K. Schratz. Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. CRC 1173 Preprint 2016/19, Karlsruhe Institute of Technology, September 2016. [bibtex]
22. Y. Latushkin, R. Schnaubelt, and X. Yang. Stable foliations near a traveling front for reaction diffusion systems. CRC 1173 Preprint 2016/18, Karlsruhe Institute of Technology, July 2016. [bibtex]
23. P. D'Ancona, S. Nicaise, and R. Schnaubelt. Blow-up for nonlinear Maxwell equations. CRC 1173 Preprint 2016/17, Karlsruhe Institute of Technology, July 2016. [bibtex]
24. M. Almquist and M. Mehlin. Multi-level local time-stepping methods of Runge–Kutta type for wave equations. CRC 1173 Preprint 2016/16, Karlsruhe Institute of Technology, July 2016. [bibtex]
25. W.-J. Beyn, D. Otten, and J. Rottmann-Matthes. Computation and stability of traveling waves in second order evolution equations. CRC 1173 Preprint 2016/15, Karlsruhe Institute of Technology, June 2016. [bibtex]
26. A. Hirsch and W. Reichel. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. CRC 1173 Preprint 2016/14, Karlsruhe Institute of Technology, June 2016. [bibtex]
27. L. Gauckler and D. Weiss. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. CRC 1173 Preprint 2016/13, Karlsruhe Institute of Technology, May 2016. [bibtex]
28. B. Kovács and C. Lubich. Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. CRC 1173 Preprint 2016/12, Karlsruhe Institute of Technology, May 2016. [bibtex]
29. A. Anikushyn and M. Pokojovy. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior. CRC 1173 Preprint 2016/11, Karlsruhe Institute of Technology, May 2016. [bibtex]
30. V. Maltsev and M. Pokojovy. On a parabolic-hyperbolic filter for multicolor image noise reduction. CRC 1173 Preprint 2016/10, Karlsruhe Institute of Technology, May 2016. [bibtex]
31. M. Hochbruck and T. Pažur. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2016/9, Karlsruhe Institute of Technology, March 2016. [bibtex]
32. 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. Kippenberg, and C. Koos. 50 Tbit/s massively parallel WDM transmission in C and L band using interleaved cavity-soliton Kerr combs. CRC 1173 Preprint 2016/8, Karlsruhe Institute of Technology, March 2016. [bibtex]
33. R. Mandel and W. Reichel. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato–Lefever equation. CRC 1173 Preprint 2016/7, Karlsruhe Institute of Technology, March 2016. Revised version from October 2016. [bibtex]
34. L. Gauckler, E. Hairer, and C. Lubich. Long-term analysis of semilinear wave equations with slowly varying wave speed. CRC 1173 Preprint 2016/6, Karlsruhe Institute of Technology, February 2016. [bibtex]
35. M. Daub, G. Schneider, and K. Schratz. From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. CRC 1173 Preprint 2016/5, Karlsruhe Institute of Technology, February 2016. [bibtex]
36. T. Jahnke, M. Mikl, and R. Schnaubelt. Strang splitting for a semilinear Schrödinger equation with damping and forcing. CRC 1173 Preprint 2016/4, Karlsruhe Institute of Technology, February 2016. [bibtex]
37. J. Eilinghoff, R. Schnaubelt, and K. Schratz. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. CRC 1173 Preprint 2016/3, Karlsruhe Institute of Technology, January 2016. [bibtex]
38. I. Anapolitanos and M. Hott. Asymptotic behavior of the ground state energy of a Fermionic Fröhlich multipolaron in the strong coupling limit. CRC 1173 Preprint 2016/2, Karlsruhe Institute of Technology, January 2016. [bibtex]
39. A. Kirsch and A. Rieder. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. CRC 1173 Preprint 2016/1, Karlsruhe Institute of Technology, January 2016. [bibtex]

2015

1. J.-M. Barbaroux, D. Hundertmark, T. Ried, and S. Vugalter. Strong smoothing fot the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye–Yukawa type interaction. CRC 1173 Preprint 2015/7, Karlsruhe Institute of Technology, December 2015. [bibtex]
2. D. Bargesghyan, P. Exner, A. Khrabustovskyi, and M. Tater. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. CRC 1173 Preprint 2015/6, Karlsruhe Institute of Technology, October 2015. [bibtex]
3. A. Khrabustovskyi and M. Plum. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane. CRC 1173 Preprint 2015/5, Karlsruhe Institute of Technology, October 2015. [bibtex]
4. W. Dörfler, S. Findeisen, and C. Wieners. Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. CRC 1173 Preprint 2015/4, Karlsruhe Institute of Technology, October 2015. Revised version from March 2016. [bibtex]
5. 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. CRC 1173 Preprint 2015/3, Karlsruhe Institute of Technology, September 2015. [bibtex]
6. M.-R. Choi, D. Hundertmark, and Y.-R. Lee. Existence of dispersion management solitons for general nonlinearities. CRC 1173 Preprint 2015/2, Karlsruhe Institute of Technology, September 2015. Outdated see major revision 2016/20. [bibtex]
7. M. Hochbruck and A. Sturm. Error analysis of a second order locally implicit method for linear Maxwell's equations. CRC 1173 Preprint 2015/1, Karlsruhe Institute of Technology, September 2015. [bibtex]