2026-04-30T05:15:46Zhttps://uvadoc.uva.es/oai/request

oai: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 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. application/pdf http://uvadoc.uva.es/handle/10324/24417 spa Oxford Academic Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana