RT info:eu-repo/semantics/article
T1 Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods
A1 Cano Urdiales, Begoña
A1 Alonso Mallo, Isaías
A1 Reguera, Nuria
AB In this paper, we suggest a technique to avoid order reduction in time when integratingreaction–diffusion boundary value problems under non-homogeneous boundaryconditions with exponential splitting methods. More precisely, we consider Lie–Trotterand Strang splitting methods and Dirichlet, Neumann and Robin boundary conditions.Beginning from an abstract framework in Banach spaces, a thorough error analysis afterfull discretization is performed and some numerical results are shown which corroboratethe theoretical results.
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/37953
UL http://uvadoc.uva.es/handle/10324/37953
LA spa
NO Journal of Computational and Applied Mathematics  Septiembre 2019, 357, p. 228-250
DS UVaDOC
RD 22-nov-2024