2026-04-20T07:07:17Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/80732023-11-22T01:05:13Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
Cano, Begoña
Reguera López, Nuria
Order reduction
Lawson methods
Reaction-diffusion
Initial boundary value problems
It is well known that Lawson methods suffer from a severe order reduction when integrating initial boundary value problems where the solutions are not periodic in space or do not satisfy enough conditions of annihilation on the boundary. However, in a previous paper, a modification of Lawson quadrature rules has been suggested so that no order reduction turns up when integrating linear problems subject to time-dependent boundary conditions. In this paper, we describe and thoroughly analyse a technique to avoid also order reduction when integrating nonlinear problems. This is very useful because, given any Runge–Kutta method of any classical order, a Lawson method can be constructed associated to it for which the order is conserved.
2023-11-21
2023-11-21
2021-06
info:eu-repo/semantics/article
0006-3835
http://hdl.handle.net/10259/8073
10.1007/s10543-021-00879-8
1572-9125
eng
BIT Numerical Mathematics. 2022, V. 62, n. 2, p. 431-463
https://doi.org/10.1007/s10543-021-00879-8
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/
info:eu-repo/semantics/openAccess
Springer