2026-04-21T03:12:56Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/74102023-03-27T11:32:11Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230
CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems
Cano, Begoña
Reguera López, Nuria
Exponential methods
Lawson methods
Nonlinear reaction-diffusion problems
Order reduction
In this paper a thorough analysis is carried out of the type of order reduction
that Lawson methods exhibit when used to integrate nonlinear initial boundary
value problems. In particular, we focus on nonlinear reaction-diffusion problems, and therefore, this study is important in a large number of practical
applications modeled by this type of nonlinear equations. A theoretical study of
the 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 and
that due to the integration in time. These results are also corroborated by the
numerical experiments performed in this paper.
2023-02-07
2023-02-07
2022-06
info:eu-repo/semantics/article
0170-4214
http://hdl.handle.net/10259/7410
10.1002/mma.8451
1099-1476
eng
Mathematical Methods in the Applied Sciences. 2022, V. 45, n. 17, p. 11319-11330
https://doi.org/10.1002/mma.8451
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101443-B-I00/ES/RESOLUCION NUMERICA PRECISA EN TIEMPO DE ECUACIONES EN DERIVADAS PARCIALES/
info:eu-repo/grantAgreement/Junta de Castilla y León//VA169P20//Inversión en tecnologías limpias y políticas medioambientales: Modelización matemática y análisis mediante juegos dinámicos/
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Wiley