130769 20240131210810.0 doi 10.1016/j.cam.2019.112638 sideral 115702 ART-2020-115702 eng Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Singularly perturbed reaction–diffusion problems with discontinuities in the initial and/or the boundary data 2020 Numerical approximations to the solutions of three different problem classes of singularly perturbed parabolic reaction–diffusion problems, each with a discontinuity in the boundary-initial data, are generated. For each problem class, an analytical function associated with the discontinuity in the data, is identified. Parameter-uniform numerical approximations to the difference between the analytical function and the solution of the singularly perturbed problem are generated using piecewise-uniform Shishkin meshes. Numerical results are given to illustrate all the theoretical error bounds established in the paper. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.621 2020 MATHEMATICS, APPLIED 36 / 265 = 0.136 2020 Q1 T1 0.876 2020 Computational Mathematics 2020 Q2 Applied Mathematics 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion O''Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 370 (2020), 112638 [28 pp.] J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 1511508 http://zaguan.unizar.es/record/130769/files/texto_completo.pdf Postprint 1306164 http://zaguan.unizar.es/record/130769/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130769 articulos driver 2024-01-31-19:19:14 ARTICLE