High order linearly implicit methods for evolution equations

DOI10.1051/m2an/2022018zbMath1503.65260arXiv1911.06016OpenAlexW3093924259MaRDI QIDQ5074254

Guillaume Dujardin, Ingrid Lacroix-Violet

Publication date: 9 May 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06016

zbMATH Keywords

numerical methodstime integrationevolution equationsCauchy problemshigh orderlinearly implicit methods

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite difference methods for boundary value problems involving PDEs (65N06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Uses Software

• RODAS

Cites Work

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