Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs

Autor:	Becher, Simon, Matthies, Gunar
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis 65L05 65L20 65L60
Druh dokumentu:	Working Paper
DOI:	10.1007/s11075-021-01164-z
Popis:	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. Comment: 35 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.06862 Zobrazit plný text záznamu View this record from Arxiv