2021
. The heterogeneous multiscale method for dispersive Maxwell systems. CRC 1173 Preprint 2021/41, Karlsruhe Institute of Technology, October 2021.
. On blowup for the supercritical quadratic wave equation. CRC 1173 Preprint 2021/40, Karlsruhe Institute of Technology, September 2021.
. Global wellposedness of NLS in $H^1(\mathbb{R})+ H^s(\mathbb{T})$. CRC 1173 Preprint 2021/39, Karlsruhe Institute of Technology, September 2021.
. Born-Infeld problem with general nonlinearity. CRC 1173 Preprint 2021/38, Karlsruhe Institute of Technology, September 2021.
. Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications. CRC 1173 Preprint 2021/37, Karlsruhe Institute of Technology, August 2021.
. Well-posedness for Maxwell equations with Kerr nonlinearity in three dimensions via Strichartz estimates. CRC 1173 Preprint 2021/36, Karlsruhe Institute of Technology, August 2021.
. Nonlinear Helmholtz equations with sign-changing diffusion coefficient. CRC 1173 Preprint 2021/35, Karlsruhe Institute of Technology, August 2021.
. Numerical upscaling for wave equations with time-dependent multiscale coefficients. CRC 1173 Preprint 2021/34, Karlsruhe Institute of Technology, July 2021. [files]
. On the stability of robust dynamical low-rank approximations for hyperbolic problems. CRC 1173 Preprint 2021/33, Karlsruhe Institute of Technology, July 2021. [files]
. Biharmonic nonlinear scalar field equations. CRC 1173 Preprint 2021/32, Karlsruhe Institute of Technology, July 2021.
. Full discretization error analysis of exponential integrators for semilinear wave equations. CRC 1173 Preprint 2021/31, Karlsruhe Institute of Technology, July 2021. [files]
. Exponential convergence of perfectly matched layers for scattering problems with periodic surfaces. CRC 1173 Preprint 2021/30, Karlsruhe Institute of Technology, July 2021.
. Monotonicity in inverse scattering for Maxwell's equations. CRC 1173 Preprint 2021/29, Karlsruhe Institute of Technology, June 2021. Revised version from October 2021.
. Interpolation of a regular subspace complementing the span of a radially singular function. CRC 1173 Preprint 2021/28, Karlsruhe Institute of Technology, June 2021.
. The Tomas–Stein inequality under the effect of symmetries. CRC 1173 Preprint 2021/27, Karlsruhe Institute of Technology, June 2021.
. Error analysis of multirate leapfrog-type methods for second-order semilinear ODEs. CRC 1173 Preprint 2021/26, Karlsruhe Institute of Technology, June 2021. [files]
. High order methods to simulate scattering problems in locally perturbed periodic waveguides. CRC 1173 Preprint 2021/25, Karlsruhe Institute of Technology, May 2021.
. Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. CRC 1173 Preprint 2021/24, Karlsruhe Institute of Technology, May 2021.
. A realizable filtered intrusive polynomial moment method. CRC 1173 Preprint 2021/23, Karlsruhe Institute of Technology, May 2021. [files]
. Quadrature by parity asymptotic expansions (QPAX) for scattering by high aspect ratio particles. CRC 1173 Preprint 2021/22, Karlsruhe Institute of Technology, May 2021. [files]
. On quasilinear Maxwell equations in two dimensions. CRC 1173 Preprint 2021/21, Karlsruhe Institute of Technology, May 2021.
. Dynamical low-rank approximation for Burgers' equation with uncertainty. CRC 1173 Preprint 2021/20, Karlsruhe Institute of Technology, May 2021. [files]
. On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. CRC 1173 Preprint 2021/19, Karlsruhe Institute of Technology, May 2021.
. Improved resolvent estimates for constant-coefficient elliptic operators in three dimensions. CRC 1173 Preprint 2021/18, Karlsruhe Institute of Technology, May 2021. Outdated, see major revision CRC 1173 Preprint 2021/37.
. Breather solutions for a quasilinear $(1+1)$-dimensional wave equation. CRC 1173 Preprint 2021/17, Karlsruhe Institute of Technology, April 2021.
. A rank-adaptive robust integrator for dynamical low-rank approximation. CRC 1173 Preprint 2021/16, Karlsruhe Institute of Technology, April 2021.
. Multiparameter viscoelastic full waveform inversion of shallow seismic surface waves with a preconditioned truncated-Newton method. CRC 1173 Preprint 2021/15, Karlsruhe Institute of Technology, April 2021.
. Time-dependent electromagnetic scattering from thin layers. CRC 1173 Preprint 2021/14, Karlsruhe Institute of Technology, April 2021. [files]
. Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces. CRC 1173 Preprint 2021/13, Karlsruhe Institute of Technology, April 2021. [files]
. Exponential integrators for quasilinear wave-type equations. CRC 1173 Preprint 2021/12, Karlsruhe Institute of Technology, April 2021. [files]
. Resolvent estimates for the time-harmonic Maxwell's equations in the partially anisotropic case. CRC 1173 Preprint 2021/11, Karlsruhe Institute of Technology, March 2021.
. Eigenvalues of the normalized complex Laplacian for finite electrical networks. CRC 1173 Preprint 2021/10, Karlsruhe Institute of Technology, March 2021.
. Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. CRC 1173 Preprint 2021/9, Karlsruhe Institute of Technology, March 2021. Revised version from June 2021.
. Global results for a Cauchy problem related to biharmonic wave maps. CRC 1173 Preprint 2021/8, Karlsruhe Institute of Technology, February 2021.
. An offline-online strategy for multiscale problems with random defects. CRC 1173 Preprint 2021/7, Karlsruhe Institute of Technology, February 2021. [files]
. A uniqueness result for the sine-Gordon breather. CRC 1173 Preprint 2021/6, Karlsruhe Institute of Technology, February 2021.
. Symmetry of periodic waves for nonlocal dispersive equations. CRC 1173 Preprint 2021/5, Karlsruhe Institute of Technology, February 2021.
. Non-Newtonian two-phase thin-film problem: local existence, uniqueness, and stability. CRC 1173 Preprint 2021/4, Karlsruhe Institute of Technology, January 2021.
. Maximizing the electromagnetic chirality of thin dielectric tubes. CRC 1173 Preprint 2021/3, Karlsruhe Institute of Technology, January 2021.
. Error analysis for space discretizations of quasilinear wave-type equations. CRC 1173 Preprint 2021/2, Karlsruhe Institute of Technology, January 2021. [files]
. Least energy solutions to a cooperative system of Schrödinger equations with prescribed $L^2$-bounds: at least $L^2$-critical growth. CRC 1173 Preprint 2021/1, Karlsruhe Institute of Technology, January 2021. Revised version from September 2021. To be published in Calculus of Variations and Partial Differential Equations.
2020
. An unconventional robust integrator for dynamical low-rank approximation. CRC 1173 Preprint 2020/41, Karlsruhe Institute of Technology, December 2020. Accepted by BIT Numerical Mathematics.
. Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation. CRC 1173 Preprint 2020/40, Karlsruhe Institute of Technology, December 2020.
. Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. CRC 1173 Preprint 2020/39, Karlsruhe Institute of Technology, December 2020. [files]
. Nonlinear scalar field equation with competing nonlocal terms. CRC 1173 Preprint 2020/38, Karlsruhe Institute of Technology, December 2020.
. Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. CRC 1173 Preprint 2020/37, Karlsruhe Institute of Technology, December 2020.
. Multiscale scattering in nonlinear Kerr-type media. CRC 1173 Preprint 2020/36, Karlsruhe Institute of Technology, November 2020.
. Dual variational methods for an indefinite nonlinear Helmholtz equation. CRC 1173 Preprint 2020/35, Karlsruhe Institute of Technology, November 2020.
. Convergence of adaptive stochastic collocation with finite elements. CRC 1173 Preprint 2020/34, Karlsruhe Institute of Technology, November 2020.
. Recurrent neural networks as optimal mesh refinement strategies. CRC 1173 Preprint 2020/33, Karlsruhe Institute of Technology, November 2020.
. On the Boussinesq equations with non-monotone temperature profiles. CRC 1173 Preprint 2020/32, Karlsruhe Institute of Technology, November 2020.
. On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. CRC 1173 Preprint 2020/31, Karlsruhe Institute of Technology, October 2020.
. On the asymptotic dynamics of 2-D magnetic quantum systems. CRC 1173 Preprint 2020/30, Karlsruhe Institute of Technology, October 2020.
. $L^p$ estimates for wave equations with specific $C^{0,1}$ coefficients. CRC 1173 Preprint 2020/29, Karlsruhe Institute of Technology, October 2020. Revised version from April 2021.
. Global Strichartz estimates for an inhomogeneous Maxwell system. CRC 1173 Preprint 2020/28, Karlsruhe Institute of Technology, October 2020. Revised version from June 2021.
. Some non-homogeneous Gagliardo–Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation. CRC 1173 Preprint 2020/27, Karlsruhe Institute of Technology, October 2020.
. A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equation. CRC 1173 Preprint 2020/26, Karlsruhe Institute of Technology, September 2020.
. An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. CRC 1173 Preprint 2020/25, Karlsruhe Institute of Technology, September 2020.
. Variational methods for breather solutions of nonlinear wave equations. CRC 1173 Preprint 2020/24, Karlsruhe Institute of Technology, September 2020.
. Low regularity well-posedness for generalized Benjamin–Ono equations on the circle. CRC 1173 Preprint 2020/23, Karlsruhe Institute of Technology, August 2020. To be published in Journal of Hyperbolic Differential Equations.
. Numerical homogenization for nonlinear strongly monotone problems. CRC 1173 Preprint 2020/22, Karlsruhe Institute of Technology, August 2020. To be published in IMA Journal of Numerical Analysis.
. A priori estimates for the derivative nonlinear Schrödinger equation. CRC 1173 Preprint 2020/21, Karlsruhe Institute of Technology, August 2020. Revised version from April 2021. To be published in Funkcialaj Ekvacioj.
. An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. CRC 1173 Preprint 2020/20, Karlsruhe Institute of Technology, July 2020. To be published in Numerische Mathematik. [files]
. The taut string approach to statistical inverse problems: theory and applications. CRC 1173 Preprint 2020/19, Karlsruhe Institute of Technology, July 2020.
. 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 2020.
. Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. CRC 1173 Preprint 2020/17, Karlsruhe Institute of Technology, June 2020.
. An all-at-once approach to full waveform seismic inversion in the viscoelastic regime. CRC 1173 Preprint 2020/16, Karlsruhe Institute of Technology, May 2020.
. On the van der Waals interaction between a molecule and a half-infinite plate. CRC 1173 Preprint 2020/15, Karlsruhe Institute of Technology, April 2020.
. 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 2020.
. Imaging with the elliptic Radon transform in 3D from an analytical and numerical perspective. CRC 1173 Preprint 2020/13, Karlsruhe Institute of Technology, April 2020.
. Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data. CRC 1173 Preprint 2020/12, Karlsruhe Institute of Technology, April 2020.
. Application of the second domain derivative in inverse electromagnetic scattering. CRC 1173 Preprint 2020/11, Karlsruhe Institute of Technology, April 2020.
. 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 2020. Revised version from May 2020.
. 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 2020.
. On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. CRC 1173 Preprint 2020/8, Karlsruhe Institute of Technology, March 2020. [files]
. 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 2020. To be published in Mathematische Annalen.
. Monotonicity in inverse obstacle scattering on unbounded domains. CRC 1173 Preprint 2020/6, Karlsruhe Institute of Technology, February 2020.
. Time integration of tree tensor networks. CRC 1173 Preprint 2020/5, Karlsruhe Institute of Technology, February 2020.
. 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.
. A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. CRC 1173 Preprint 2020/3, Karlsruhe Institute of Technology, January 2020. Revised version from May 2021. To be published in Archive for Rational Mechanics and Analysis.
. 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. Outdated, see major revision CRC 1173 Preprint 2020/7.
. Breather solutions of the cubic Klein–Gordon equation. CRC 1173 Preprint 2020/1, Karlsruhe Institute of Technology, January 2020. To be published in Nonlinearity.
2019
. 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.
. Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. CRC 1173 Preprint 2019/26, Karlsruhe Institute of Technology, December 2019.
. 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. Revised version from April 2020.
. Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. CRC 1173 Preprint 2019/24, Karlsruhe Institute of Technology, December 2019.
. Nonlinear asymptotic stability of homothetically shrinking Yang–Mills solitons in the equivariant case. CRC 1173 Preprint 2019/23, Karlsruhe Institute of Technology, November 2019.
. Unconditional uniqueness of higher order nonlinear Schrödinger equations. CRC 1173 Preprint 2019/22, Karlsruhe Institute of Technology, November 2019. Revised version from December 2019. To be published in Czechoslovak Mathematical Journal.
. Threshold for blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2019/21, Karlsruhe Institute of Technology, November 2019.
. On the convergence of Lawson methods for semilinear stiff problems. CRC 1173 Preprint 2019/20, Karlsruhe Institute of Technology, October 2019.
. On leapfrog-Chebyshev schemes. CRC 1173 Preprint 2019/19, Karlsruhe Institute of Technology, October 2019.
. 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.
. 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.
. 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.
. A uniformly exponentially stable ADI scheme for Maxwell equations. CRC 1173 Preprint 2019/15, Karlsruhe Institute of Technology, September 2019.
. 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.
. On a thin film model with insoluble surfactant. CRC 1173 Preprint 2019/13, Karlsruhe Institute of Technology, August 2019.
. 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.
. The stochastic nonlinear Schrödinger equation in unbounded domains and manifolds. CRC 1173 Preprint 2019/11, Karlsruhe Institute of Technology, June 2019.
. 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.
. 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.
. The global Cauchy problem for the NLS with higher order anisotropic dispersion. CRC 1173 Preprint 2019/8, Karlsruhe Institute of Technology, April 2019.
. Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. CRC 1173 Preprint 2019/7, Karlsruhe Institute of Technology, March 2019.
. Differentiability of the van der Waals interaction between two atoms. CRC 1173 Preprint 2019/6, Karlsruhe Institute of Technology, February 2019.
. On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. CRC 1173 Preprint 2019/5, Karlsruhe Institute of Technology, February 2019.
. Asymptotic preserving trigonometric integrators for the quantum Zakharov system. CRC 1173 Preprint 2019/4, Karlsruhe Institute of Technology, January 2019.
. 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.
. Biharmonic wave maps: local wellposedness in high regularity. CRC 1173 Preprint 2019/2, Karlsruhe Institute of Technology, January 2019. Revised version from March 2019.
. Multiple solutions to a nonlinear curl-curl problem in $\mathbb{R}^3$. CRC 1173 Preprint 2019/1, Karlsruhe Institute of Technology, January 2019.
2018
. 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.
. General class of optimal Sobolev inequalities and nonlinear scalar field equations. CRC 1173 Preprint 2018/55, Karlsruhe Institute of Technology, December 2018.
. Heterogeneous multiscale method for Maxwell's equations. CRC 1173 Preprint 2018/54, Karlsruhe Institute of Technology, December 2018. Revised version from July 2019.
. 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.
. 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.
. Energy bounds for biharmonic wave maps in low dimensions. CRC 1173 Preprint 2018/51, Karlsruhe Institute of Technology, December 2018.
. Trigonometric integrators for quasilinear wave equations. CRC 1173 Preprint 2018/50, Karlsruhe Institute of Technology, December 2018.
. Randomized exponential integrators for modulated nonlinear Schrödinger equations. CRC 1173 Preprint 2018/49, Karlsruhe Institute of Technology, December 2018.
. Boundary stabilization of quasilinear Maxwell equations. CRC 1173 Preprint 2018/48, Karlsruhe Institute of Technology, December 2018.
. 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.
. Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. CRC 1173 Preprint 2018/46, Karlsruhe Institute of Technology, December 2018.
. Biharmonic wave maps into spheres. CRC 1173 Preprint 2018/45, Karlsruhe Institute of Technology, December 2018. Revised version from June 2019.
. The Lugiato–Lefever equation with nonlinear damping caused by two photon absorption. CRC 1173 Preprint 2018/44, Karlsruhe Institute of Technology, November 2018.
. 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.
. The KdV approximation for a system with unstable resonances. CRC 1173 Preprint 2018/42, Karlsruhe Institute of Technology, November 2018.
. Failure of the $N$-wave interaction approximation without imposing periodic boundary conditions. CRC 1173 Preprint 2018/41, Karlsruhe Institute of Technology, November 2018.
. Effective slow dynamics models for a class of dispersive systems. CRC 1173 Preprint 2018/40, Karlsruhe Institute of Technology, November 2018.
. Co-dimension one stable blowup for the supercritical cubic wave equation. CRC 1173 Preprint 2018/39, Karlsruhe Institute of Technology, November 2018. To be published in Advances in Mathematics.
. 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.
. Discrete gradient flows for general curvature energies. CRC 1173 Preprint 2018/37, Karlsruhe Institute of Technology, November 2018.
. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities. CRC 1173 Preprint 2018/36, Karlsruhe Institute of Technology, November 2018.
. Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. CRC 1173 Preprint 2018/35, Karlsruhe Institute of Technology, November 2018.
. Solving inverse electromagnetic scattering problems via domain derivatives. CRC 1173 Preprint 2018/34, Karlsruhe Institute of Technology, November 2018.
. 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.
. Bifurcations of nontrivial solutions of a cubic Helmholtz system. CRC 1173 Preprint 2018/32, Karlsruhe Institute of Technology, November 2018.
. Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. CRC 1173 Preprint 2018/31, Karlsruhe Institute of Technology, November 2018.
. Exponential decay of quasilinear Maxwell equations with interior conductivity. CRC 1173 Preprint 2018/30, Karlsruhe Institute of Technology, October 2018.
. Equilibrium measures and equilibrium potentials in the Born–Infeld model. CRC 1173 Preprint 2018/29, Karlsruhe Institute of Technology, October 2018.
. Stochastic Galerkin-collocation splitting for PDEs with random parameters. CRC 1173 Preprint 2018/28, Karlsruhe Institute of Technology, October 2018.
. On a Kelvin–Voigt viscoelastic wave equation with strong delay. CRC 1173 Preprint 2018/27, Karlsruhe Institute of Technology, October 2018.
. Waves of maximal height for a class of nonlocal equations with homogeneous symbols. CRC 1173 Preprint 2018/26, Karlsruhe Institute of Technology, October 2018.
. Compactness of molecular reaction paths in quantum mechanics. CRC 1173 Preprint 2018/25, Karlsruhe Institute of Technology, September 2018.
. Cwikel's bound reloaded. CRC 1173 Preprint 2018/24, Karlsruhe Institute of Technology, September 2018.
. 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.
. Improved efficiency of a multi-index FEM for computational uncertainty quantification. CRC 1173 Preprint 2018/22, Karlsruhe Institute of Technology, August 2018.
. Sparse compression of expected solution operators. CRC 1173 Preprint 2018/21, Karlsruhe Institute of Technology, August 2018.
. Knocking out teeth in one-dimensional periodic NLS. CRC 1173 Preprint 2018/20, Karlsruhe Institute of Technology, August 2018. Revised version from March 2019.
. 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.
. 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.
. On leap-frog-Chebyshev schemes. CRC 1173 Preprint 2018/17, Karlsruhe Institute of Technology, August 2018. Outdated, see major revision CRC 1173 Preprint 2019/19.
. Modulation equations near the Eckhaus boundary — The KdV equation —. CRC 1173 Preprint 2018/16, Karlsruhe Institute of Technology, August 2018.
. A space-time discontinuous Petrov–Galerkin method for acoustic waves. CRC 1173 Preprint 2018/15, Karlsruhe Institute of Technology, August 2018.
. 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.
. 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.
. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation. CRC 1173 Preprint 2018/12, Karlsruhe Institute of Technology, August 2018.
. 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.
. 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.
. 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.
. Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/8, Karlsruhe Institute of Technology, May 2018.
. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. CRC 1173 Preprint 2018/7, Karlsruhe Institute of Technology, May 2018.
. 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.
. 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.
. Modulation type spaces of generators of polynomially bounded group and Schrödinger equations. CRC 1173 Preprint 2018/4, Karlsruhe Institute of Technology, April 2018.
. On a fourth order nonlinear Helmholtz equation. CRC 1173 Preprint 2018/3, Karlsruhe Institute of Technology, April 2018.
. Global secondary bifurcation, symmetry breaking and period-doubling. CRC 1173 Preprint 2018/2, Karlsruhe Institute of Technology, March 2018.
. 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.
2017
. Polynomial stability for a system of coupled strings. CRC 1173 Preprint 2017/35, Karlsruhe Institute of Technology, December 2017.
. 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.
. Exponential adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2017/33, Karlsruhe Institute of Technology, December 2017.
. 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.
. 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.
. Numerical approximation of planar oblique derivative problems in nondivergence form. CRC 1173 Preprint 2017/30, Karlsruhe Institute of Technology, November 2017.
. 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.
. Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations. CRC 1173 Preprint 2017/28, Karlsruhe Institute of Technology, November 2017.
. 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.
. 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.
. Dual variational methods for a nonlinear Helmholtz system. CRC 1173 Preprint 2017/25, Karlsruhe Institute of Technology, October 2017.
. Operator estimates for the crushed ice problem. CRC 1173 Preprint 2017/24, Karlsruhe Institute of Technology, October 2017.
. Interface conditions for a metamaterial with strong spatial dispersion. CRC 1173 Preprint 2017/23, Karlsruhe Institute of Technology, September 2017.
. 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 CRC 1173 Preprint 2018/5.
. Spectrum of a singular pertubed periodic thin waveguide. CRC 1173 Preprint 2017/21, Karlsruhe Institute of Technology, August 2017.
. Entropy decay for the Kac evolution. CRC 1173 Preprint 2017/20, Karlsruhe Institute of Technology, July 2017.
. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. CRC 1173 Preprint 2017/19, Karlsruhe Institute of Technology, July 2017.
. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. CRC 1173 Preprint 2017/18, Karlsruhe Institute of Technology, July 2017.
. 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.
. 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.
. Rayleigh–Ritz approximation of the inf-sup constant for the divergens. CRC 1173 Preprint 2017/15, Karlsruhe Institute of Technology, June 2017.
. The definition and measurement of electromagnetic chirality. CRC 1173 Preprint 2017/14, Karlsruhe Institute of Technology, June 2017.
. Beyond local effective material properties for metamaterials. CRC 1173 Preprint 2017/13, Karlsruhe Institute of Technology, May 2017.
. 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.
. Low regularity exponential-type integrators for semilinear Schrödinger equations. CRC 1173 Preprint 2017/11, Karlsruhe Institute of Technology, May 2017.
. Dispersion managed solitons in the presence of saturated nonlinearity. CRC 1173 Preprint 2017/10, Karlsruhe Institute of Technology, May 2017.
. 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 CRC 1173 Preprint 2019/20.
. 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 CRC 1173 Preprint 2017/16.
. 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.
. Strong solutions to a nonlinear stochastic Maxwell equation with retarded material law. CRC 1173 Preprint 2017/6, Karlsruhe Institute of Technology, March 2017.
. Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2017/5, Karlsruhe Institute of Technology, March 2017.
. 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 CRC 1173 Preprint 2017/12.
. Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. CRC 1173 Preprint 2017/3, Karlsruhe Institute of Technology, February 2017.
. Oscillating solutions for nonlinear Helmholtz equations. CRC 1173 Preprint 2017/2, Karlsruhe Institute of Technology, February 2017.
. 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.
2016
. An exponential-type integrator for the KdV equation. CRC 1173 Preprint 2016/39, Karlsruhe Institute of Technology, December 2016.
. An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers' equation. CRC 1173 Preprint 2016/38, Karlsruhe Institute of Technology, December 2016.
. 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. [files]
. Freezing traveling and rotating waves in second order evolution equations. CRC 1173 Preprint 2016/36, Karlsruhe Institute of Technology, November 2016.
. A splitting approach for freezing waves. CRC 1173 Preprint 2016/35, Karlsruhe Institute of Technology, November 2016.
. 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.
. 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.
. 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.
. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. CRC 1173 Preprint 2016/31, Karlsruhe Institute of Technology, November 2016.
. 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 CRC 1173 Preprint 2019/27.
. 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.
. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. CRC 1173 Preprint 2016/28, Karlsruhe Institute of Technology, October 2016.
. Freezing similarity solutions in multi-dimensional Burger's equation. CRC 1173 Preprint 2016/27, Karlsruhe Institute of Technology, October 2016.
. 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.
. 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.
. 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.
. Trigonometric time integrators for the Zakharov system. CRC 1173 Preprint 2016/23, Karlsruhe Institute of Technology, October 2016.
. 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.
. 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.
. Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities. CRC 1173 Preprint 2016/20, Karlsruhe Institute of Technology, September 2016.
. 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.
. Stable foliations near a traveling front for reaction diffusion systems. CRC 1173 Preprint 2016/18, Karlsruhe Institute of Technology, July 2016.
. Blow-up for nonlinear Maxwell equations. CRC 1173 Preprint 2016/17, Karlsruhe Institute of Technology, July 2016.
. Multi-level local time-stepping methods of Runge–Kutta type for wave equations. CRC 1173 Preprint 2016/16, Karlsruhe Institute of Technology, July 2016.
. Computation and stability of traveling waves in second order evolution equations. CRC 1173 Preprint 2016/15, Karlsruhe Institute of Technology, June 2016.
. 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.
. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. CRC 1173 Preprint 2016/13, Karlsruhe Institute of Technology, May 2016. [files]
. Stable and convergent fully discrete interior-exterior coupling of Maxwell's equations. CRC 1173 Preprint 2016/12, Karlsruhe Institute of Technology, May 2016.
. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior. CRC 1173 Preprint 2016/11, Karlsruhe Institute of Technology, May 2016.
. On a parabolic-hyperbolic filter for multicolor image noise reduction. CRC 1173 Preprint 2016/10, Karlsruhe Institute of Technology, May 2016.
. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. CRC 1173 Preprint 2016/9, Karlsruhe Institute of Technology, March 2016.
. 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.
. 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. [files]
. Long-term analysis of semilinear wave equations with slowly varying wave speed. CRC 1173 Preprint 2016/6, Karlsruhe Institute of Technology, February 2016.
. From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. CRC 1173 Preprint 2016/5, Karlsruhe Institute of Technology, February 2016.
. Strang splitting for a semilinear Schrödinger equation with damping and forcing. CRC 1173 Preprint 2016/4, Karlsruhe Institute of Technology, February 2016.
. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. CRC 1173 Preprint 2016/3, Karlsruhe Institute of Technology, January 2016.
. 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.
. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. CRC 1173 Preprint 2016/1, Karlsruhe Institute of Technology, January 2016.
2015
. 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.
. 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.
. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane. CRC 1173 Preprint 2015/5, Karlsruhe Institute of Technology, October 2015.
. 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.
. 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.
. Existence of dispersion management solitons for general nonlinearities. CRC 1173 Preprint 2015/2, Karlsruhe Institute of Technology, September 2015. Outdated, see major revision CRC 1173 Preprint 2016/20.
. 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.