000118646 001__ 118646
000118646 005__ 20230519145600.0
000118646 0247_ $$2doi$$a10.1007/s11075-021-01098-6
000118646 0248_ $$2sideral$$a126804
000118646 037__ $$aART-2021-126804
000118646 041__ $$aeng
000118646 100__ $$0(orcid)0000-0003-2538-9027$$aGracia J.L.$$uUniversidad de Zaragoza
000118646 245__ $$aNumerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition
000118646 260__ $$c2021
000118646 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118646 5203_ $$aA 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.
000118646 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000118646 590__ $$a2.37$$b2021
000118646 591__ $$aMATHEMATICS, APPLIED$$b52 / 267 = 0.195$$c2021$$dQ1$$eT1
000118646 592__ $$a0.983$$b2021
000118646 593__ $$aApplied Mathematics$$c2021$$dQ1
000118646 594__ $$a4.7$$b2021
000118646 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000118646 700__ $$aO’Riordan E.
000118646 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000118646 773__ $$g88, 4 (2021), 1851-1873$$pNumer. algorithms$$tNUMERICAL ALGORITHMS$$x1017-1398
000118646 8564_ $$s2224034$$uhttps://zaguan.unizar.es/record/118646/files/texto_completo.pdf$$yPreprint
000118646 8564_ $$s1190466$$uhttps://zaguan.unizar.es/record/118646/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000118646 909CO $$ooai:zaguan.unizar.es:118646$$particulos$$pdriver
000118646 951__ $$a2023-05-18-15:59:36
000118646 980__ $$aARTICLE