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000064444 005__ 20200221144302.0
000064444 0247_ $$2doi$$a10.1090/mcom/2998
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000064444 037__ $$aART-2016-103774
000064444 041__ $$aeng
000064444 100__ $$0(orcid)0000-0003-2538-9027$$aGracia Lozano, José Luis$$uUniversidad de Zaragoza
000064444 245__ $$aNumerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type
000064444 260__ $$c2016
000064444 5060_ $$aAccess copy available to the general public$$fUnrestricted
000064444 5203_ $$aNumerical 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.
000064444 536__ $$9info:eu-repo/grantAgreement/ES/MEC/MTM2010-16917
000064444 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000064444 590__ $$a1.569$$b2016
000064444 591__ $$aMATHEMATICS, APPLIED$$b47 / 255 = 0.184$$c2016$$dQ1$$eT1
000064444 592__ $$a1.872$$b2016
000064444 593__ $$aAlgebra and Number Theory$$c2016$$dQ1
000064444 593__ $$aComputational Mathematics$$c2016$$dQ1
000064444 593__ $$aApplied Mathematics$$c2016$$dQ1
000064444 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000064444 700__ $$aO'Riordan, Eugene
000064444 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000064444 773__ $$g85, 298 (2016), 581-599$$pMath. comput.$$tMATHEMATICS OF COMPUTATION$$x0025-5718
000064444 8564_ $$s423950$$uhttps://zaguan.unizar.es/record/64444/files/texto_completo.pdf$$yPostprint
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000064444 951__ $$a2020-02-21-13:33:19
000064444 980__ $$aARTICLE