2026-04-20T19:17:08Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/79652023-11-10T01:05:30Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Alonso Mallo, Isaías b7d0b785-aec5-43ae-9e55-0f408ac2880e 600 Cano, Begoña db4ff5e6-8b1a-4b7e-b3cd-aaab71a20cbf 600 Reguera López, Nuria 470 600 0000-0002-6219-5531 2023-11-09T08:28:23Z 2023-11-09T08:28:23Z 2018-08 0272-4979 http://hdl.handle.net/10259/7965 10.1093/imanum/drx047 1464-3642 It is well known the order reduction phenomenon which arises when exponential methods are used to integrate time-dependent 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 article, a technique is suggested to avoid that order reduction. We deal directly with nonhomogeneous time-dependent boundary conditions, without having to reduce the problem to the 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. Ministerio de Ciencia e Innovacion project [MTM2015-66837-P]. eng Oxford University Press IMA Journal of Numerical Analysis. 2018, V. 38, n. 3, p. 1294-1323 https://doi.org/10.1093/imanum/drx047 Exponential Lie-Trotter Exponential Strang Avoiding order reduction Initial boundary value problems Matemáticas Mathematics Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/openAccess IMA Journal of Numerical Analysis 38 3 1294 1323 THUMBNAIL Alonso-imajna_2018.pdf.jpg Alonso-imajna_2018.pdf.jpg IM Thumbnail image/jpeg 4648 https://riubu.ubu.es/bitstream/10259/7965/3/Alonso-imajna_2018.pdf.jpg bb5b07e7e9519f2cc20abce5b5c11fc7 MD5 3 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/7965/2/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 2 ORIGINAL Alonso-imajna_2018.pdf Alonso-imajna_2018.pdf application/pdf 555144 https://riubu.ubu.es/bitstream/10259/7965/1/Alonso-imajna_2018.pdf c70b3dd2a001dbd7c062685e47c62abd MD5 1 10259/7965 oai:riubu.ubu.es:10259/7965 2023-11-10 02:05:30.019 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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