000078787 001__ 78787
000078787 005__ 20220621094623.0
000078787 0247_ $$2doi$$a10.1007/s11075-018-0518-y
000078787 0248_ $$2sideral$$a105400
000078787 037__ $$aART-2019-105400
000078787 041__ $$aeng
000078787 100__ $$0(orcid)0000-0003-1263-1996$$aClavero, C.$$uUniversidad de Zaragoza
000078787 245__ $$aUniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type
000078787 260__ $$c2019
000078787 5060_ $$aAccess copy available to the general public$$fUnrestricted
000078787 5203_ $$aIn this work, we consider parabolic 2D singularly perturbed systems of reaction-diffusion type on a rectangle, in the simplest case that the diffusion parameter is the same for all equations of the system. The solution is approximated on a Shishkin mesh with two splitting or additive methods in time and standard central differences in space. It is proved that they are first-order in time and almost second-order in space uniformly convergent schemes. The additive schemes decouple the components of the vector solution at each time level of the discretization which makes the computation more efficient. Moreover, a multigrid algorithm is used to solve the resulting linear systems. Numerical results for some test problems are showed, which illustrate the theoretical results and the efficiency of the splitting and multigrid techniques.
000078787 536__ $$9info:eu-repo/grantAgreement/ES/MCYT-FEDER/MTM2016-75139-R$$9info:eu-repo/grantAgreement/ES/IUMA/MTM2017-83490-P
000078787 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000078787 590__ $$a2.064$$b2019
000078787 591__ $$aMATHEMATICS, APPLIED$$b39 / 260 = 0.15$$c2019$$dQ1$$eT1
000078787 592__ $$a1.143$$b2019
000078787 593__ $$aApplied Mathematics$$c2019$$dQ1
000078787 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000078787 700__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000078787 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000078787 773__ $$g80, 4 (2019), 1097-1120$$pNumer. algorithms$$tNumerical Algorithms$$x1017-1398
000078787 8564_ $$s1608458$$uhttps://zaguan.unizar.es/record/78787/files/texto_completo.pdf$$yPostprint
000078787 8564_ $$s51660$$uhttps://zaguan.unizar.es/record/78787/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000078787 909CO $$ooai:zaguan.unizar.es:78787$$particulos$$pdriver
000078787 951__ $$a2022-06-21-09:40:05
000078787 980__ $$aARTICLE