RT info:eu-repo/semantics/article
T1 CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems
A1 Cano Urdiales, Begoña
AB In this paper a thorough analysis is carried out of the type of order reductionthat Lawson methods exhibit when used to integrate nonlinear initial boundaryvalue problems. In particular, we focus on nonlinear reaction-diffusion prob-lems, and therefore, this study is important in a large number of practicalapplications modeled by this type of nonlinear equations. A theoretical study ofthe local and global error of the total discretization of the problem is carried out,taking into account both, the error coming from the space discretization andthat due to the integration in time. These results are also corroborated by thenumerical experiments performed in this paper.
PB Wiley Online Library
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/65616
UL https://uvadoc.uva.es/handle/10324/65616
LA eng
NO Mathematical Methods in the Applied Sciences, Noviembre 2022, issue 17, p.10503-11980
NO Producción Científica
DS UVaDOC
RD 05-feb-2025