Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data

DOI10.1007/s00211-015-0776-8zbMath1356.65143arXiv1510.06246OpenAlexW3099213845WikidataQ36405810 ScholiaQ36405810MaRDI QIDQ315719

Chris Evans, Claudia Wulff

Publication date: 22 September 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06246

zbMATH Keywords

semilinear wave equationconvergencenumerical exampleHilbert spacenonlinear Schrödinger equationsemilinear evolution equationorder reductionA-stable Runge-Kutta methodsnon-smooth dataspectral Galerkin approximation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical solutions to abstract evolution equations (65J08) Second-order quasilinear hyperbolic equations (35L72)

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