@Article{EAJAM-5-301, author = {Lijun Yi}, title = {An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {4}, pages = {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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.310315.070815a}, url = {http://global-sci.org/intro/article_detail/eajam/10814.html} }