2026-05-12T15:01:41Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/244172021-06-23T11:39:02Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods Alonso Mallo, Isaías Cano Urdiales, Begoña Reguera, Nuria 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. 2017-07-14T09:26:48Z 2017-07-14T09:26:48Z 2017 info:eu-repo/semantics/article IMA J. Numer. Anal. http://uvadoc.uva.es/handle/10324/24417 spa info:eu-repo/semantics/restrictedAccess Institute of Mathematics and its Applications application/pdf Oxford Academic https://uvadoc.uva.es/bitstream/10324/24417/3/orderredsplittingIMArevision3-01.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid http://uvadoc.uva.es/handle/10324/24417