Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems

DOI10.1007/978-3-319-19800-2_7zbMath1352.65208OpenAlexW2335200596MaRDI QIDQ2831186

Bärbel Janssen, Thomas P. Wihler

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/77223/1/4.pdf

zbMATH Keywords

continuous Galerkin methoddiscontinuous Galerkin methodsnonlinear initial value problemstime-stepping methodcomparison of the two time discretization methodscontinuous area

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (4)

Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems ⋮ An L^∞-error Estimate for the h-p Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems ⋮ \(hp\)-adaptive Galerkin time stepping methods for nonlinear initial value problems ⋮ Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlinear Initial Value Problems

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• Global error control for the continuous Galerkin finite element method for ordinary differential equations
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