Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs
Numerical Analysis
2021-09-17 v1 Numerical Analysis
Abstract
We present a unified analysis for a family of variational time discretization methods, including discontinuous Galerkin methods and continuous Galerkin-Petrov methods, applied to non-stiff initial value problems. Besides the well-definedness of the methods, the global error and superconvergence properties are analyzed under rather weak abstract assumptions which also allow considerations of a wide variety of quadrature formulas. Numerical experiments illustrate and support the theoretical results.
Keywords
Cite
@article{arxiv.2105.06862,
title = {Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs},
author = {Simon Becher and Gunar Matthies},
journal= {arXiv preprint arXiv:2105.06862},
year = {2021}
}
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35 pages