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oai:riubu.ubu.es:10259/80802023-11-22T01:05:32Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

2023-11-21T13:15:37Z urn:hdl:10259/8080 Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods Alonso Mallo, Isaías Cano, Begoña Reguera López, Nuria Exponential splitting Order reduction Initial boundary value problem 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. 2023-11-21T13:15:37Z 2023-11-21T13:15:37Z 2019-09 info:eu-repo/semantics/article 0377-0427 http://hdl.handle.net/10259/8080 10.1016/j.cam.2019.02.023 eng 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/ http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier