000130772 001__ 130772
000130772 005__ 20240201145618.0
000130772 0247_ $$2doi$$a10.1016/j.apnum.2019.08.005
000130772 0248_ $$2sideral$$a114760
000130772 037__ $$aART-2019-114760
000130772 041__ $$aeng
000130772 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000130772 245__ $$aParameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data
000130772 260__ $$c2019
000130772 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130772 5203_ $$aNumerical approximations to the solution of a linear singularly perturbed parabolic reaction-diffusion problem with incompatible boundary-initial data are generated. The method involves combining the computational solution of a classical finite difference operator on a tensor product of two piecewise-uniform Shishkin meshes with an analytical function that captures the local nature of the incompatibility. A proof is given to show almost first order parameter-uniform convergence of these numerical/analytical approximations. Numerical results are given to illustrate the theoretical error bounds.
000130772 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R
000130772 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130772 590__ $$a1.979$$b2019
000130772 591__ $$aMATHEMATICS, APPLIED$$b46 / 260 = 0.177$$c2019$$dQ1$$eT1
000130772 592__ $$a1.017$$b2019
000130772 593__ $$aApplied Mathematics$$c2019$$dQ1
000130772 593__ $$aComputational Mathematics$$c2019$$dQ1
000130772 593__ $$aNumerical Analysis$$c2019$$dQ2
000130772 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130772 700__ $$aO''Riordan, E.
000130772 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130772 773__ $$g146 (2019), 436-451$$pAppl. numer. math.$$tAPPLIED NUMERICAL MATHEMATICS$$x0168-9274
000130772 8564_ $$s1576987$$uhttps://zaguan.unizar.es/record/130772/files/texto_completo.pdf$$yPostprint
000130772 8564_ $$s1149571$$uhttps://zaguan.unizar.es/record/130772/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130772 909CO $$ooai:zaguan.unizar.es:130772$$particulos$$pdriver
000130772 951__ $$a2024-02-01-14:52:31
000130772 980__ $$aARTICLE