Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs

DOI10.1007/s11075-021-01164-zzbMath1485.65077OpenAlexW3200128241MaRDI QIDQ2118950

Simon Becher, Gunar Matthies

Publication date: 23 March 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01164-z

zbMATH Keywords

variational methodsdiscontinuous Galerkin methodsuperconvergencequadrature ruleshigher order methodcontinuous Galerkin-Petrov

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Uses Software

• Julia

Cites Work

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• Julia: A Fresh Approach to Numerical Computing
• Solving Ordinary Differential Equations I
• Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• The dynamical behavior of the discontinuous Galerkin method and related difference schemes
• Discrete Galerkin and Related One-Step Methods for Ordinary Differential Equations
• One-Step Piecewise Polynomial Galerkin Methods for Initial Value Problems

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