RT info:eu-repo/semantics/article
T1 PDE-convergence in euclidean norm of AMF-W methods for multidimensional linear parabolic problems
A1 Hernández Abreu, Domingo
A1 González Pinto, Severiano
A1 Hairer, Ernst
A2 Análisis Matemático
A2 Grupo de investigación ULL:
"Métodos numéricos en ecuaciones diferenciales"
K1 multidimensional parabolic problem
K1 ADI-type AMF-W method
K1 PDE-convergence
K1 order conditions
K1 fractional order
AB This work considers space-discretised parabolic problems on a rectangular domain subject to Dirichlet boundary conditions. For the time integration s-stage AMF-W-methods, which are ADI (alternating direction implicit) type integrators, are considered. They are particularly efficient when the space dimension m of the problem is large. Optimal results on PDE-convergence have recently been obtained in [J. Comput. Appl. Math., 417:114642, 2023] for the case m = 2. The aim of the present work is to extend these results to arbitrary space dimension m ≥ 3. It is explained which order statements carry over from the case m = 2 to m ≥ 3, and which do not.
YR 2024
FD 2024
LK http://riull.ull.es/xmlui/handle/915/40424
UL http://riull.ull.es/xmlui/handle/915/40424
LA en
DS Repositorio institucional de la Universidad de La Laguna
RD 18-dic-2024