64444 20200221144302.0 doi 10.1090/mcom/2998 sideral 103774 ART-2016-103774 eng (orcid)0000-0003-2538-9027 Gracia Lozano, José Luis Universidad de Zaragoza Numerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type 2016 Access copy available to the general public Unrestricted Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffusion problem are generated using a backward Euler method in time and an upwinded finite difference operator in space on a piecewise-uniform Shishkin mesh. A proof is given to show first order convergence of these numerical approximations in an appropriately weighted C^1$-norm. Numerical results are given to illustrate the theoretical error bounds. info:eu-repo/grantAgreement/ES/MEC/MTM2010-16917 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.569 2016 MATHEMATICS, APPLIED 47 / 255 = 0.184 2016 Q1 T1 1.872 2016 Algebra and Number Theory 2016 Q1 Computational Mathematics 2016 Q1 Applied Mathematics 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion O'Riordan, Eugene 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 85, 298 (2016), 581-599 Math. comput. MATHEMATICS OF COMPUTATION 0025-5718 423950 http://zaguan.unizar.es/record/64444/files/texto_completo.pdf Postprint 71779 http://zaguan.unizar.es/record/64444/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:64444 articulos driver 2020-02-21-13:33:19 ARTICLE