# Preprints

## 2020

1. , , and . Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials. CRC 1173 Preprint 2020/18, Karlsruhe Institute of Technology, June . [bibtex]

2. , , and . Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution. CRC 1173 Preprint 2020/17, Karlsruhe Institute of Technology, June . [bibtex]

3. . An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. CRC 1173 Preprint 2020/16, Karlsruhe Institute of Technology, May . [bibtex]

4. , , and . On the van der Waals interaction between a molecule and a half-infinite plate. CRC 1173 Preprint 2020/15, Karlsruhe Institute of Technology, April . [bibtex]

5. , , and . 2D multi-parameter viscoelastic shallow-seismic full waveform inversion: reconstruction tests and first field-data application. CRC 1173 Preprint 2020/14, Karlsruhe Institute of Technology, April . [bibtex]

6. , , , and . Imaging with the elliptic Radon transform in 3D from an analytical and numerical perspective. CRC 1173 Preprint 2020/13, Karlsruhe Institute of Technology, April . [bibtex]

7. , , and . Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. CRC 1173 Preprint 2020/12, Karlsruhe Institute of Technology, April . [bibtex]

8. and . Application of the second domain derivative in inverse electromagnetic scattering. CRC 1173 Preprint 2020/11, Karlsruhe Institute of Technology, April . [bibtex]

9. , , and . FEM-BEM coupling for Maxwell–Landau–Lifshitz–Gilbert equations via convolution quadrature: Weak form and numerical approximation. CRC 1173 Preprint 2020/10, Karlsruhe Institute of Technology, March . Revised version from May 2020. [bibtex]

10. and . The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. CRC 1173 Preprint 2020/9, Karlsruhe Institute of Technology, March . [bibtex]

11. , , and . On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. CRC 1173 Preprint 2020/8, Karlsruhe Institute of Technology, March . [bibtex]

12. and . An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential. CRC 1173 Preprint 2020/7, Karlsruhe Institute of Technology, March . [bibtex]

13. and . Monotonicity in inverse obstacle scattering on unbounded domains. CRC 1173 Preprint 2020/6, Karlsruhe Institute of Technology, February . [bibtex]

14. , , and . Time integration of tree tensor networks. CRC 1173 Preprint 2020/5, Karlsruhe Institute of Technology, February . [bibtex]

15. , , , , , and . 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 . [bibtex]

16. and . 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 . [bibtex]

17. and . A limiting absorption principle for linear and nonlinear Helmholtz equations with a step potential. CRC 1173 Preprint 2020/2, Karlsruhe Institute of Technology, January . Outdated see major revision 2020/7. [bibtex]

18. . Breather solutions of the cubic Klein–Gordon equation. CRC 1173 Preprint 2020/1, Karlsruhe Institute of Technology, January . [bibtex]

## 2019

1. , , , and . 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 . [bibtex]

2. and . Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. CRC 1173 Preprint 2019/26, Karlsruhe Institute of Technology, December . [bibtex]

3. , , and . 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 . Revised version from April 2020. [bibtex]

4. , , , , and . Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. CRC 1173 Preprint 2019/24, Karlsruhe Institute of Technology, December . [bibtex]

5. and . Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. CRC 1173 Preprint 2019/23, Karlsruhe Institute of Technology, November . [bibtex]

6. , , and . Unconditional uniqueness of higher order nonlinear Schrödinger equations. CRC 1173 Preprint 2019/22, Karlsruhe Institute of Technology, November . Revised version from December 2019. [bibtex]

7. , , and . Threshold for blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2019/21, Karlsruhe Institute of Technology, November . [bibtex]

8. , , and . On the convergence of Lawson methods for semilinear stiff problems. CRC 1173 Preprint 2019/20, Karlsruhe Institute of Technology, October . [bibtex]

9. , , and . On leapfrog-Chebyshev schemes. CRC 1173 Preprint 2019/19, Karlsruhe Institute of Technology, October . [bibtex]

10. and . 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 . [bibtex]

11. . 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 . [bibtex]

12. , , , , , , and . 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 . [bibtex]

13. . A uniformly exponentially stable ADI scheme for Maxwell equations. CRC 1173 Preprint 2019/15, Karlsruhe Institute of Technology, September . [bibtex]

14. and . Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. CRC 1173 Preprint 2019/14, Karlsruhe Institute of Technology, September . [bibtex]

15. and . On a thin film model with insoluble surfactant. CRC 1173 Preprint 2019/13, Karlsruhe Institute of Technology, August . [bibtex]

16. . 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 . [bibtex]

17. . The stochastic nonlinear Schrödinger equation in unbounded domains and manifolds. CRC 1173 Preprint 2019/11, Karlsruhe Institute of Technology, June . [bibtex]

18. and . Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. CRC 1173 Preprint 2019/10, Karlsruhe Institute of Technology, June . Revised version from October 2019. [bibtex]

19. , , , and . 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 . Revised version from October 2019. [bibtex]

20. and . The global Cauchy problem for the NLS with higher order anisotropic dispersion. CRC 1173 Preprint 2019/8, Karlsruhe Institute of Technology, April . [bibtex]

21. , , and . Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. CRC 1173 Preprint 2019/7, Karlsruhe Institute of Technology, March . [bibtex]

22. , , and . Differentiability of the van der Waals interaction between two atoms. CRC 1173 Preprint 2019/6, Karlsruhe Institute of Technology, February . [bibtex]

23. and . On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. CRC 1173 Preprint 2019/5, Karlsruhe Institute of Technology, February . [bibtex]

24. and . Asymptotic preserving trigonometric integrators for the quantum Zakharov system. CRC 1173 Preprint 2019/4, Karlsruhe Institute of Technology, January . [bibtex]

25. , , and . 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 . [bibtex]

26. , , , and . Biharmonic wave maps: local wellposedness in high regularity. CRC 1173 Preprint 2019/2, Karlsruhe Institute of Technology, January . Revised version from March 2019. [bibtex]

27. , , and . Multiple solutions to a nonlinear curl-curl problem in $\mathbb{R}^3$. CRC 1173 Preprint 2019/1, Karlsruhe Institute of Technology, January . [bibtex]

## 2018

1. , , , , , and . 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 . [bibtex]

2. . General class of optimal Sobolev inequalities and nonlinear scalar field equations. CRC 1173 Preprint 2018/55, Karlsruhe Institute of Technology, December . [bibtex]

3. , , and . Heterogeneous multiscale method for Maxwell's equations. CRC 1173 Preprint 2018/54, Karlsruhe Institute of Technology, December . Revised version from July 2019. [bibtex]

4. and . Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. CRC 1173 Preprint 2018/53, Karlsruhe Institute of Technology, December . Revised version from January 2020. [bibtex]

5. and . 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 . [bibtex]

6. . Energy bounds for biharmonic wave maps in low dimensions. CRC 1173 Preprint 2018/51, Karlsruhe Institute of Technology, December . [bibtex]

7. , , , , and . Trigonometric integrators for quasilinear wave equations. CRC 1173 Preprint 2018/50, Karlsruhe Institute of Technology, December . [bibtex]

8. , , and . Randomized exponential integrators for modulated nonlinear Schrödinger equations. CRC 1173 Preprint 2018/49, Karlsruhe Institute of Technology, December . [bibtex]

9. and . Boundary stabilization of quasilinear Maxwell equations. CRC 1173 Preprint 2018/48, Karlsruhe Institute of Technology, December . [bibtex]

10. , , , and . 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 . [bibtex]

11. and . Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. CRC 1173 Preprint 2018/46, Karlsruhe Institute of Technology, December . [bibtex]

12. , , and . Biharmonic wave maps into spheres. CRC 1173 Preprint 2018/45, Karlsruhe Institute of Technology, December . Revised version from June 2019. [bibtex]

13. , , and . The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. CRC 1173 Preprint 2018/44, Karlsruhe Institute of Technology, November . [bibtex]

14. , , and . A model for the periodic water wave problem and its long wave amplitude equations. CRC 1173 Preprint 2018/43, Karlsruhe Institute of Technology, November . [bibtex]

15. . The KdV approximation for a system with unstable resonances. CRC 1173 Preprint 2018/42, Karlsruhe Institute of Technology, November . [bibtex]

16. and . Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. CRC 1173 Preprint 2018/41, Karlsruhe Institute of Technology, November . [bibtex]

17. , , , and . Effective slow dynamics models for a class of dispersive systems. CRC 1173 Preprint 2018/40, Karlsruhe Institute of Technology, November . [bibtex]

18. and . Co-dimension one stable blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2018/39, Karlsruhe Institute of Technology, November . [bibtex]

19. and . 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 . [bibtex]

20. and . Discrete gradient flows for general curvature energies. CRC 1173 Preprint 2018/37, Karlsruhe Institute of Technology, November . [bibtex]

21. . Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities. CRC 1173 Preprint 2018/36, Karlsruhe Institute of Technology, November . [bibtex]

22. and . Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. CRC 1173 Preprint 2018/35, Karlsruhe Institute of Technology, November . [bibtex]

23. , , , and . Solving inverse electromagnetic scattering problems via domain derivatives. CRC 1173 Preprint 2018/34, Karlsruhe Institute of Technology, November . [bibtex]

24. , , and . 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 . [bibtex]

25. and . Bifurcations of nontrivial solutions of a cubic Helmholtz system. CRC 1173 Preprint 2018/32, Karlsruhe Institute of Technology, November . [bibtex]

26. , , and . Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. CRC 1173 Preprint 2018/31, Karlsruhe Institute of Technology, November . [bibtex]

27. , , and . Exponential decay of quasilinear Maxwell equations with interior conductivity. CRC 1173 Preprint 2018/30, Karlsruhe Institute of Technology, October . [bibtex]

28. , , , and . Equilibrium measures and equilibrium potentials in the Born–Infeld model. CRC 1173 Preprint 2018/29, Karlsruhe Institute of Technology, October . [bibtex]

29. and . Stochastic Galerkin-collocation splitting for PDEs with random parameters. CRC 1173 Preprint 2018/28, Karlsruhe Institute of Technology, October . [bibtex]

30. , , and . On a Kelvin–Voigt viscoelastic wave equation with strong delay. CRC 1173 Preprint 2018/27, Karlsruhe Institute of Technology, October . [bibtex]

31. and . Waves of maximal height for a class of nonlocal equations with homogeneous symbols. CRC 1173 Preprint 2018/26, Karlsruhe Institute of Technology, October . [bibtex]

32. and . Compactness of molecular reaction paths in quantum mechanics. CRC 1173 Preprint 2018/25, Karlsruhe Institute of Technology, September . [bibtex]

33. , , , and . Cwikel's bound reloaded. CRC 1173 Preprint 2018/24, Karlsruhe Institute of Technology, September . [bibtex]

34. and . Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities. CRC 1173 Preprint 2018/23, Karlsruhe Institute of Technology, August . [bibtex]

35. , , and . Improved efficiency of a multi-index FEM for computational uncertainty quantification. CRC 1173 Preprint 2018/22, Karlsruhe Institute of Technology, August . [bibtex]

36. and . Sparse compression of expected solution operators. CRC 1173 Preprint 2018/21, Karlsruhe Institute of Technology, August . [bibtex]

37. , , , and . Knocking out teeth in one-dimensional periodic NLS. CRC 1173 Preprint 2018/20, Karlsruhe Institute of Technology, August . Revised version from March 2019. [bibtex]

38. . 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 . [bibtex]

39. , , and . Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds. CRC 1173 Preprint 2018/18, Karlsruhe Institute of Technology, August . [bibtex]

40. and . On leap-frog-Chebyshev schemes. CRC 1173 Preprint 2018/17, Karlsruhe Institute of Technology, August . Outdated see major revision 2019/19. [bibtex]

41. , , and . Modulation equations near the Eckhaus boundary — The KdV equation —. CRC 1173 Preprint 2018/16, Karlsruhe Institute of Technology, August . [bibtex]

42. and . A space-time discontinuous Petrov–Galerkin method for acoustic waves. CRC 1173 Preprint 2018/15, Karlsruhe Institute of Technology, August . [bibtex]

43. , , , and . 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 . [bibtex]

44. and . Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. CRC 1173 Preprint 2018/13, Karlsruhe Institute of Technology, August . Revised version from February 2019. [bibtex]

45. , , and . Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation. CRC 1173 Preprint 2018/12, Karlsruhe Institute of Technology, August . [bibtex]

46. , , and . Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. CRC 1173 Preprint 2018/11, Karlsruhe Institute of Technology, July . [bibtex]

47. and . 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 . [bibtex]

48. , , , and . Microlocal analysis of imaging operators for effective common offset seismic reconstruction. CRC 1173 Preprint 2018/9, Karlsruhe Institute of Technology, June . Revised version from August 2018. [bibtex]

49. . Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/8, Karlsruhe Institute of Technology, May . [bibtex]

50. . Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/7, Karlsruhe Institute of Technology, May . [bibtex]

51. and . 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 . [bibtex]

52. and . 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 . [bibtex]

53. . Modulation type spaces of generators of polynomially bounded group and Schrödinger equations. CRC 1173 Preprint 2018/4, Karlsruhe Institute of Technology, April . [bibtex]

54. , , and . On a fourth order nonlinear Helmholtz equation. CRC 1173 Preprint 2018/3, Karlsruhe Institute of Technology, April . [bibtex]

55. . Global secondary bifurcation, symmetry breaking and period-doubling. CRC 1173 Preprint 2018/2, Karlsruhe Institute of Technology, March . [bibtex]

56. , , , and . Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. CRC 1173 Preprint 2018/1, Karlsruhe Institute of Technology, February . Revised version from April 2018. [bibtex]

## 2017

1. and . Polynomial stability for a system of coupled strings. CRC 1173 Preprint 2017/35, Karlsruhe Institute of Technology, December . [bibtex]

2. and . On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type methods. CRC 1173 Preprint 2017/34, Karlsruhe Institute of Technology, December . Revised version from March 2018. [bibtex]

3. and . Exponential adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2017/33, Karlsruhe Institute of Technology, December . [bibtex]

4. and . 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 . [bibtex]

5. . NLS in the modulation space $M_{2,q}(\mathbb{R})$. CRC 1173 Preprint 2017/31, Karlsruhe Institute of Technology, November . Revised version from April 2018. [bibtex]

6. . Numerical approximation of planar oblique derivative problems in nondivergence form. CRC 1173 Preprint 2017/30, Karlsruhe Institute of Technology, November . [bibtex]

7. , , and . Unified error analysis for non-conforming space discretizations of wave-type equations. CRC 1173 Preprint 2017/29, Karlsruhe Institute of Technology, November . Revised version from June 2018. [bibtex]

8. and . Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations. CRC 1173 Preprint 2017/28, Karlsruhe Institute of Technology, November . [bibtex]

9. , , and . Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. CRC 1173 Preprint 2017/27, Karlsruhe Institute of Technology, October . [bibtex]

10. . The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. CRC 1173 Preprint 2017/26, Karlsruhe Institute of Technology, October . [bibtex]

11. and . Dual variational methods for a nonlinear Helmholtz system. CRC 1173 Preprint 2017/25, Karlsruhe Institute of Technology, October . [bibtex]

12. and . Operator estimates for the crushed ice problem. CRC 1173 Preprint 2017/24, Karlsruhe Institute of Technology, October . [bibtex]

13. , , , , and . Interface conditions for a metamaterial with strong spatial dispersion. CRC 1173 Preprint 2017/23, Karlsruhe Institute of Technology, September . [bibtex]

14. and . 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 . Outdated see major revision 2018/5. [bibtex]

15. and . Spectrum of a singular pertubed periodic thin waveguide. CRC 1173 Preprint 2017/21, Karlsruhe Institute of Technology, August . [bibtex]

16. , , , and . Entropy decay for the Kac evolution. CRC 1173 Preprint 2017/20, Karlsruhe Institute of Technology, July . [bibtex]

17. , , , and . Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. CRC 1173 Preprint 2017/19, Karlsruhe Institute of Technology, July . [bibtex]

18. , , and . Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. CRC 1173 Preprint 2017/18, Karlsruhe Institute of Technology, July . [bibtex]

19. and . 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 . [bibtex]

20. and . 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 . [bibtex]

21. . Rayleigh–Ritz approximation of the inf-sup constant for the divergens. CRC 1173 Preprint 2017/15, Karlsruhe Institute of Technology, June . [bibtex]

22. , , , and . The definition and measurement of electromagnetic chirality. CRC 1173 Preprint 2017/14, Karlsruhe Institute of Technology, June . [bibtex]

23. , , , , and . Beyond local effective material properties for metamaterials. CRC 1173 Preprint 2017/13, Karlsruhe Institute of Technology, May . [bibtex]

24. and . 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 . [bibtex]

25. and . Low regularity exponential-type integrators for semilinear Schrödinger equations. CRC 1173 Preprint 2017/11, Karlsruhe Institute of Technology, May . [bibtex]

26. , , , and . Dispersion managed solitons in the presence of saturated nonlinearity. CRC 1173 Preprint 2017/10, Karlsruhe Institute of Technology, May . [bibtex]

27. and . On the convergence of Lawson methods for semilinear stiff problems. CRC 1173 Preprint 2017/9, Karlsruhe Institute of Technology, April . Revised version from June 2018. Outdated see major revision 2019/20. [bibtex]

28. and . 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 . See revision 2017/16. [bibtex]

29. , , and . Derivation of the Hartree equation for compound Bose gases in the mean field limit. CRC 1173 Preprint 2017/7, Karlsruhe Institute of Technology, March . [bibtex]

30. . Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law. CRC 1173 Preprint 2017/6, Karlsruhe Institute of Technology, March . [bibtex]

31. , , and . Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2017/5, Karlsruhe Institute of Technology, March . [bibtex]

32. and . 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 . See revision 2017/12. [bibtex]

33. and . Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. CRC 1173 Preprint 2017/3, Karlsruhe Institute of Technology, February . [bibtex]

34. , , and . Oscillating solutions for nonlinear Helmholtz equations. CRC 1173 Preprint 2017/2, Karlsruhe Institute of Technology, February . [bibtex]

35. , , and . 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 . [bibtex]

## 2016

1. and . An exponential-type integrator for the KdV equation. CRC 1173 Preprint 2016/39, Karlsruhe Institute of Technology, December . [bibtex]

2. . An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers' equation. CRC 1173 Preprint 2016/38, Karlsruhe Institute of Technology, December . [bibtex]

3. , , , and . Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. CRC 1173 Preprint 2016/37, Karlsruhe Institute of Technology, December . Revised version from August 2017. [bibtex]

4. , , and . Freezing traveling and rotating waves in second order evolution equations. CRC 1173 Preprint 2016/36, Karlsruhe Institute of Technology, November . [bibtex]

5. and . A splitting approach for freezing waves. CRC 1173 Preprint 2016/35, Karlsruhe Institute of Technology, November . [bibtex]

6. . Quasilinear parabolic stochastic evolution equations via $L^p$-regularity. CRC 1173 Preprint 2016/34, Karlsruhe Institute of Technology, November . Revised version from January 2017. [bibtex]

7. and . Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. CRC 1173 Preprint 2016/33, Karlsruhe Institute of Technology, November . [bibtex]

8. . The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. CRC 1173 Preprint 2016/32, Karlsruhe Institute of Technology, November . Revised version from September 2017. [bibtex]

9. and . A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. CRC 1173 Preprint 2016/31, Karlsruhe Institute of Technology, November . [bibtex]

10. , , , and . 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 . Outdated see major revision 2019/27. [bibtex]

11. and . A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. CRC 1173 Preprint 2016/29, Karlsruhe Institute of Technology, October . [bibtex]

12. and . Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2016/28, Karlsruhe Institute of Technology, October . [bibtex]

13. . Freezing similarity solutions in multi-dimensional Burger's equation. CRC 1173 Preprint 2016/27, Karlsruhe Institute of Technology, October . [bibtex]

14. and . 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 . [bibtex]

15. and . Finite element heterogeneous multiscale method for time-dependent Maxwell's equations. CRC 1173 Preprint 2016/25, Karlsruhe Institute of Technology, October . Revised version from June 2017. [bibtex]

16. , , and . 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 . [bibtex]

17. and . Trigonometric time integrators for the Zakharov system. CRC 1173 Preprint 2016/23, Karlsruhe Institute of Technology, October . [bibtex]

18. , , , , and . Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. CRC 1173 Preprint 2016/22, Karlsruhe Institute of Technology, September . [bibtex]

19. , , , and . 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 . [bibtex]

20. , , and . Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. CRC 1173 Preprint 2016/20, Karlsruhe Institute of Technology, September . [bibtex]

21. and . 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 . [bibtex]

22. , , and . Stable foliations near a traveling front for reaction diffusion systems. CRC 1173 Preprint 2016/18, Karlsruhe Institute of Technology, July . [bibtex]

23. , , and . Blow-up for nonlinear Maxwell equations. CRC 1173 Preprint 2016/17, Karlsruhe Institute of Technology, July . [bibtex]

24. and . Multi-level local time-stepping methods of Runge–Kutta type for wave equations. CRC 1173 Preprint 2016/16, Karlsruhe Institute of Technology, July . [bibtex]

25. , , and . Computation and stability of traveling waves in second order evolution equations. CRC 1173 Preprint 2016/15, Karlsruhe Institute of Technology, June . [bibtex]

26. and . 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 . [bibtex]

27. and . Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. CRC 1173 Preprint 2016/13, Karlsruhe Institute of Technology, May . [bibtex]

28. and . Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. CRC 1173 Preprint 2016/12, Karlsruhe Institute of Technology, May . [bibtex]

29. and . Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior. CRC 1173 Preprint 2016/11, Karlsruhe Institute of Technology, May . [bibtex]

30. and . On a parabolic-hyperbolic filter for multicolor image noise reduction. CRC 1173 Preprint 2016/10, Karlsruhe Institute of Technology, May . [bibtex]

31. and . Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2016/9, Karlsruhe Institute of Technology, March . [bibtex]

32. , , , , , , , , , , , , , and . 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 . [bibtex]

33. and . 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 . Revised version from October 2016. [bibtex]

34. , , and . Long-term analysis of semilinear wave equations with slowly varying wave speed. CRC 1173 Preprint 2016/6, Karlsruhe Institute of Technology, February . [bibtex]

35. , , and . From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. CRC 1173 Preprint 2016/5, Karlsruhe Institute of Technology, February . [bibtex]

36. , , and . Strang splitting for a semilinear Schrödinger equation with damping and forcing. CRC 1173 Preprint 2016/4, Karlsruhe Institute of Technology, February . [bibtex]

37. , , and . Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. CRC 1173 Preprint 2016/3, Karlsruhe Institute of Technology, January . [bibtex]

38. and . 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 . [bibtex]

39. and . Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. CRC 1173 Preprint 2016/1, Karlsruhe Institute of Technology, January . [bibtex]

## 2015

1. , , , and . 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 . [bibtex]

2. , , , and . Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition. CRC 1173 Preprint 2015/6, Karlsruhe Institute of Technology, October . [bibtex]

3. and . Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane. CRC 1173 Preprint 2015/5, Karlsruhe Institute of Technology, October . [bibtex]

4. , , and . Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. CRC 1173 Preprint 2015/4, Karlsruhe Institute of Technology, October . Revised version from March 2016. [bibtex]

5. , , , and . 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 . [bibtex]

6. , , and . Existence of dispersion management solitons for general nonlinearities. CRC 1173 Preprint 2015/2, Karlsruhe Institute of Technology, September . Outdated see major revision 2016/20. [bibtex]

7. and . Error analysis of a second order locally implicit method for linear Maxwell's equations. CRC 1173 Preprint 2015/1, Karlsruhe Institute of Technology, September . [bibtex]