RT info:eu-repo/semantics/article
T1 CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems
A1 Cano, Begoña
A1 Reguera López, Nuria
K1 Exponential methods
K1 Lawson methods
K1 Nonlinear reaction-diffusion problems
K1 Order reduction
K1 Matemáticas
K1 Mathematics
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 problems, 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
SN 0170-4214
YR 2022
FD 2022-06
LK http://hdl.handle.net/10259/7410
UL http://hdl.handle.net/10259/7410
LA eng
NO Ministerio de Ciencia e Innovación and Regional Development European Funds, Grant/Award Number: PGC2018-101443-B-I00; Junta de Castilla y León and Feder, Grant/Award Number: VA169P20
DS Repositorio Institucional de la Universidad de Burgos
RD 23-nov-2024