doi:10.1090/mcom/2998engGracia Lozano, José LuisO'Riordan, EugeneNumerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion typeART-2016-103774Numerical 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.2016http://zaguan.unizar.es/record/6444410.1090/mcom/2998http://zaguan.unizar.es/record/64444oai:zaguan.unizar.es:64444info:eu-repo/grantAgreement/ES/MEC/MTM2010-16917MATHEMATICS OF COMPUTATION 85, 298 (2016), 581-599All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess