118646 20230519145600.0 doi 10.1007/s11075-021-01098-6 sideral 126804 ART-2021-126804 eng Gracia J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition 2021 Access copy available to the general public Unrestricted A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. An analytic function is identified which matches the discontinuity in the initial condition and also satisfies the homogenous parabolic differential equation associated with the problem. The difference between this analytical function and the solution of the parabolic problem is approximated numerically, using an upwind finite difference operator combined with an appropriate layer-adapted mesh. The numerical method is shown to be parameter-uniform. Numerical results are presented to illustrate the theoretical error bounds established in the paper. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.37 2021 MATHEMATICS, APPLIED 52 / 267 = 0.195 2021 Q1 T1 0.983 2021 Applied Mathematics 2021 Q1 4.7 2021 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion O’Riordan E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 88, 4 (2021), 1851-1873 Numer. algorithms NUMERICAL ALGORITHMS 1017-1398 2224034 http://zaguan.unizar.es/record/118646/files/texto_completo.pdf Preprint 1190466 http://zaguan.unizar.es/record/118646/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:118646 articulos driver 2023-05-18-15:59:36 ARTICLE