RT info:eu-repo/semantics/article
T1 How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
A1 Cano, Begoña
A1 Reguera López, Nuria
K1 Order reduction
K1 Lawson methods
K1 Reaction-diffusion
K1 Initial boundary value problems
K1 Matemáticas
K1 Mathematics
AB 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.
PB Springer
SN 0006-3835
YR 2021
FD 2021-06
LK http://hdl.handle.net/10259/8073
UL http://hdl.handle.net/10259/8073
LA eng
NO This work was funded by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00 and by Junta de Castilla y León and Feder through projects VA169P20.
DS Repositorio Institucional de la Universidad de Burgos
RD 24-nov-2024