130801 20240131210811.0 doi 10.1016/j.apnum.2020.12.013 sideral 122240 ART-2021-122240 eng Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition 2021 A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The difference between this analytical function and the solution of the parabolic problem is approximated numerically. A coordinate transformation is used so that a layer-adapted mesh can be aligned to the interior layer present in the solution. Numerical analysis is presented for the associated numerical method, which establishes that the numerical method is a parameter-uniform numerical method. Numerical results are presented to illustrate the pointwise error bounds established in the paper. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MINECO-MCIU/PGC2018-094341-B-I00 info:eu-repo/grantAgreement/ES/MINECO-MCIU/PID2019-105979GB-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.994 2021 MATHEMATICS, APPLIED 31 / 267 = 0.116 2021 Q1 T1 0.993 2021 Numerical Analysis 2021 Q1 Applied Mathematics 2021 Q1 3.7 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion O'Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 162 (2021), 106-123 Appl. numer. math. APPLIED NUMERICAL MATHEMATICS 0168-9274 773291 http://zaguan.unizar.es/record/130801/files/texto_completo.pdf Postprint 1177010 http://zaguan.unizar.es/record/130801/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130801 articulos driver 2024-01-31-19:22:12 ARTICLE