RT info:eu-repo/semantics/article
T1 Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods
A1 Alonso Mallo, Isaías
A1 Cano Urdiales, Begoña
A1 Reguera, Nuria
AB Exponential Lawson methods are well known to have a severe order reduction when integrating stiffproblems. In a previous article, the precise order observed with Lawson methods when integrating linearproblems is justified in terms of different conditions of annihilation on the boundary. In fact, the analysisof convergence with all exponential methods when applied to parabolic problems has always been performedunder assumptions of vanishing boundary conditions for the solution. In this article, we offer ageneralization of Lawson methods to approximate problems with nonvanishing and even time-dependentboundary values. This technique is cheap and allows to avoid completely order reduction independentlyof having vanishing or nonvanishing boundary conditions.
PB Oxford Academic
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/24372
UL http://uvadoc.uva.es/handle/10324/24372
LA spa
NO IMA J. Numer. Anal. d.o.i: 10.1093/imanum/drw052
DS UVaDOC
RD 22-nov-2024