RT info:eu-repo/semantics/article
T1 Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods.
A1 Alonso Mallo, Isaías
A1 Cano Urdiales, Begoña
A1 Reguera, Nuria
AB In this paper, a thorough analysis is given for the order which is observed when integrating evolutionary linear partial differential equations with Lawson methods. The analysis is performed under the general framework of C0-semigroups in Banach spaces and hence it can be applied to the numerical time integration of many initial boundary value problems which are described by linear partial differential equations. Conditions of regularity and annihilation at the boundary of these problems are then stated to justify the precise order which is observed, including fractional order of convergence.
PB Elsevier
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/24363
UL http://uvadoc.uva.es/handle/10324/24363
LA spa
NO Applied Numerical Mathematics, 2017, 118, 64–74.
DS UVaDOC
RD 16-ago-2024