130772 20240201145618.0 doi 10.1016/j.apnum.2019.08.005 sideral 114760 ART-2019-114760 eng Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data 2019 Access copy available to the general public Unrestricted Numerical approximations to the solution of a linear singularly perturbed parabolic reaction-diffusion problem with incompatible boundary-initial data are generated. The method involves combining the computational solution of a classical finite difference operator on a tensor product of two piecewise-uniform Shishkin meshes with an analytical function that captures the local nature of the incompatibility. A proof is given to show almost first order parameter-uniform convergence of these numerical/analytical approximations. Numerical results are given to illustrate the theoretical error bounds. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.979 2019 MATHEMATICS, APPLIED 46 / 260 = 0.177 2019 Q1 T1 1.017 2019 Applied Mathematics 2019 Q1 Computational Mathematics 2019 Q1 Numerical Analysis 2019 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 146 (2019), 436-451 Appl. numer. math. APPLIED NUMERICAL MATHEMATICS 0168-9274 1576987 http://zaguan.unizar.es/record/130772/files/texto_completo.pdf Postprint 1149571 http://zaguan.unizar.es/record/130772/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130772 articulos driver 2024-02-01-14:52:31 ARTICLE