2026-04-28T20:47:50Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/80802023-11-22T01:05:32Zcom_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 2023-11-21T13:15:37Z 2023-11-21T13:15:37Z 2019-09 0377-0427 http://hdl.handle.net/10259/8080 10.1016/j.cam.2019.02.023 In this paper, we suggest a technique to avoid order reduction in time when integrating reaction–diffusion boundary value problems under non-homogeneous boundary conditions with exponential splitting methods. More precisely, we consider Lie–Trotter and Strang splitting methods and Dirichlet, Neumann and Robin boundary conditions. Beginning from an abstract framework in Banach spaces, a thorough error analysis after full discretization is performed and some numerical results are shown which corroborate the theoretical results. This work has been supported by Ministerio de Ciencia, Innovación y Universidades, FEDER, Spain and Junta de Castilla y León, Spain through projects MTM 2015-66837-P, VA024P17, VA041P17 and VA105G18. application/pdf eng Elsevier Journal of Computational and Applied Mathematics. 2019, V. 357, p. 228-250 https://doi.org/10.1016/j.cam.2019.02.023 info:eu-repo/grantAgreement/MINECO//MTM2015-66837-P/ES/RESOLUCION NUMERICA DE ECUACIONES EN DERIVADAS PARCIALES DE EVOLUCION TEMPORAL/ info:eu-repo/grantAgreement/Junta de Castilla y León//VA024P17//Modelización matemática y análisis de regulaciones medioambientales, incentivos y uso eficiente de energías limpias en un entorno dinámico/ info:eu-repo/grantAgreement/Junta de Castilla y León//VA041P17/ info:eu-repo/grantAgreement/Junta de Castilla y León//VA105G18//JUEGOS DINÁMICOS, DESCUENTO NO CONSTANTE Y CONSISTENCIA TEMPORAL EN PROBLEMAS MEDIOAMBIENTALES/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Exponential splitting Order reduction Initial boundary value problem Matemáticas Mathematics Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Journal of Computational and Applied Mathematics 357 228 250 THUMBNAIL Alonso-jcam_2019.pdf.jpg Alonso-jcam_2019.pdf.jpg IM Thumbnail image/jpeg 3591 https://riubu.ubu.es/bitstream/10259/8080/4/Alonso-jcam_2019.pdf.jpg 64e8ec638755acaa7882f2b6b824a24d MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/8080/3/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 805 https://riubu.ubu.es/bitstream/10259/8080/2/license_rdf 4460e5956bc1d1639be9ae6146a50347 MD5 2 ORIGINAL Alonso-jcam_2019.pdf Alonso-jcam_2019.pdf application/pdf 419954 https://riubu.ubu.es/bitstream/10259/8080/1/Alonso-jcam_2019.pdf 6d7af466244a3cce1b7c5db98586cd66 MD5 1 10259/8080 oai:riubu.ubu.es:10259/8080 2023-11-22 02:05:32.735 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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