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An L∞-Error Estimate for the h-p Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems

An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems
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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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