RT info:eu-repo/semantics/article
T1 How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
A1 Cano Urdiales, Begoña
AB It is well known that Lawson methods suffer from a severe order reduction whenintegrating initial boundary value problems where the solutions are not periodic inspace or do not satisfy enough conditions of annihilation on the boundary. However,in a previous paper, a modification of Lawson quadrature rules has been suggestedso that no order reduction turns up when integrating linear problems subject to timedependentboundary conditions. In this paper, we describe and thoroughly analyse atechnique to avoid also order reduction when integrating nonlinear problems. This isvery useful because, given any Runge–Kutta method of any classical order, a Lawsonmethod can be constructed associated to it for which the order is conserved.
PB Springer Link
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/65618
UL https://uvadoc.uva.es/handle/10324/65618
LA eng
NO BIT Numerical Mathematics, 2022, Volume 62, pages 431–463.
DS UVaDOC
RD 02-dic-2024