An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems
Year: 2015
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 301–311
Abstract
The $h$-$p$ version of the continuous Petrov-Galerkin time stepping method is analyzed for nonlinear initial value problems. An $L^∞$-error bound explicit with respect to the local discretization and regularity parameters is derived. Numerical examples are provided to illustrate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.310315.070815a
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 301–311
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Initial value problems $h-p$ version time stepping method continuous Petrov-Galerkin method error bound.
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