RT info:eu-repo/semantics/article
T1 How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
A1 Cano, B.
A1 Reguera, N.
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.
SN 0006-3835
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/62983
UL https://uvadoc.uva.es/handle/10324/62983
LA eng
NO BIT Numerical Mathematics, 2022, vol. 62, p. 431–463
DS UVaDOC
RD 30-jun-2024