Numerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type

Gracia Lozano, José Luis (Universidad de Zaragoza) ; O'Riordan, Eugene

Resumen: 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.

Idioma: Inglés

DOI: 10.1090/mcom/2998

Año: 2016

Publicado en: MATHEMATICS OF COMPUTATION 85, 298 (2016), 581-599
ISSN: 0025-5718

Factor impacto JCR: 1.569 (2016)

Categ. JCR: MATHEMATICS, APPLIED rank: 47 / 255 = 0.184 (2016) - Q1 - T1

Factor impacto SCIMAGO: 1.872 - Algebra and Number Theory (Q1) - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MEC/MTM2010-16917

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)