RT info:eu-repo/semantics/article
T1 Convergence in l2 and l¿ norm of one-stage AMF-W-methods for parabolic problems.
A1 Hernández Abreu, Domingo
A1 González Pinto, Severiano
A1 E. Hairer
A2 Análisis Matemático
A2 Grupo de investigación ULL: 
"Métodos numéricos en ecuaciones diferenciales"
https://www.ull.es/grupoinvestigacion/met-numericos-ec-diferenciales/
K1 Parabolic PDEs
K1 time integration
K1 W-methods
K1 Approximate Matrix Factorization
K1 Alternating Direction Implicit schemes
K1 convergence
AB For the numerical solution of parabolic problems with linear diffusion term, linearly implicit time integrators are considered. To reduce the cost on the linear algebra level an alternating direction implicit (ADI) approach is applied (so-called AMF-W-methods). The present work proves optimal bounds of the global error for two classes of 1-stage methods in the Euclidean 2 norm as well as in the maximum norm ∞. The bounds are valid under a very weak step size restriction that covers PDE-convergence, where the time step size is of the same order as the spatial grid size.
YR 2020
FD 2020
LK http://riull.ull.es/xmlui/handle/915/39033
UL http://riull.ull.es/xmlui/handle/915/39033
LA Inglés
DS Repositorio institucional de la Universidad de La Laguna
RD 21-nov-2024