000130801 001__ 130801
000130801 005__ 20240131210811.0
000130801 0247_ $$2doi$$a10.1016/j.apnum.2020.12.013
000130801 0248_ $$2sideral$$a122240
000130801 037__ $$aART-2021-122240
000130801 041__ $$aeng
000130801 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000130801 245__ $$aParameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition
000130801 260__ $$c2021
000130801 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130801 5203_ $$aA singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The difference between this analytical function and the solution of the parabolic problem is approximated numerically. A coordinate transformation is used so that a layer-adapted mesh can be aligned to the interior layer present in the solution. Numerical analysis is presented for the associated numerical method, which establishes that the numerical method is a parameter-uniform numerical method. Numerical results are presented to illustrate the pointwise error bounds established in the paper.
000130801 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MINECO-MCIU/PGC2018-094341-B-I00$$9info:eu-repo/grantAgreement/ES/MINECO-MCIU/PID2019-105979GB-I00
000130801 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130801 590__ $$a2.994$$b2021
000130801 591__ $$aMATHEMATICS, APPLIED$$b31 / 267 = 0.116$$c2021$$dQ1$$eT1
000130801 592__ $$a0.993$$b2021
000130801 593__ $$aNumerical Analysis$$c2021$$dQ1
000130801 593__ $$aApplied Mathematics$$c2021$$dQ1
000130801 594__ $$a3.7$$b2021
000130801 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130801 700__ $$aO'Riordan, E.
000130801 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130801 773__ $$g162 (2021), 106-123$$pAppl. numer. math.$$tAPPLIED NUMERICAL MATHEMATICS$$x0168-9274
000130801 8564_ $$s773291$$uhttps://zaguan.unizar.es/record/130801/files/texto_completo.pdf$$yPostprint
000130801 8564_ $$s1177010$$uhttps://zaguan.unizar.es/record/130801/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
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000130801 951__ $$a2024-01-31-19:22:12
000130801 980__ $$aARTICLE