2024-03-28T18:34:54Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/244172021-06-23T11:39:02Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Alonso Mallo, Isaías
Cano Urdiales, Begoña
Reguera, Nuria
2017-07-14T09:26:48Z
2017-07-14T09:26:48Z
2017
IMA J. Numer. Anal.
http://uvadoc.uva.es/handle/10324/24417
It is well known the order reduction phenomenon which arises when
exponential methods are used to integrate in time initial boundary
value problems, so that the classical order of these methods is
reduced. In particular, this subject has been
recently studied for Lie-Trotter and Strang exponential splitting
methods, and the order observed in practice has been exactly
calculated. In this paper, a technique is suggested to avoid that
order reduction. We deal directly with non-homogeneous
time-dependent boundary conditions, without having to reduce the
problem to homogeneous ones. We give a thorough error analysis of
the full discretization and justify why the computational cost of
the technique is negligible in comparison with the rest of the
calculations of the method. Some numerical results for dimension
splittings are shown which corroborate that much more accuracy is
achieved.
spa
info:eu-repo/semantics/restrictedAccess
Institute of Mathematics and its Applications
Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
info:eu-repo/semantics/article