000151712 001__ 151712
000151712 005__ 20250319155218.0
000151712 0247_ $$2doi$$a10.3934/math.2025178
000151712 0248_ $$2sideral$$a143188
000151712 037__ $$aART-2025-143188
000151712 041__ $$aeng
000151712 100__ $$0(orcid)0000-0002-6497-7158$$aKhiar, Yasmina$$uUniversidad de Zaragoza
000151712 245__ $$aHigh relative accuracy for a Newton form of bivariate interpolation problems
000151712 260__ $$c2025
000151712 5060_ $$aAccess copy available to the general public$$fUnrestricted
000151712 5203_ $$aThe problem of bivariate polynomial interpolation using Newton-type bases is examined, leading to the application of a generalized Kronecker matrix product. Algorithms for computing the coefficients of the interpolating polynomial are presented, along with conditions that ensure relative errors of the order of machine precision. A generalization of the classical recursion formula of divided differences in two dimensions is proposed for grids that generalize the standard rectangular layout. Numerical experiments demonstrate the high accuracy achieved by the proposed approach.
000151712 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T
000151712 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000151712 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000151712 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, Esmeralda$$uUniversidad de Zaragoza
000151712 700__ $$0(orcid)0000-0003-1550-8168$$aRoyo-Amondarain, Eduardo$$uUniversidad de Zaragoza
000151712 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, Beatriz$$uUniversidad de Zaragoza
000151712 700__ $$a
000151712 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000151712 773__ $$g10, 2 (2025), 3836-3847$$tAIMS Mathematics$$x2473-6988
000151712 8564_ $$s252748$$uhttps://zaguan.unizar.es/record/151712/files/texto_completo.pdf$$yVersión publicada
000151712 8564_ $$s2004528$$uhttps://zaguan.unizar.es/record/151712/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000151712 909CO $$ooai:zaguan.unizar.es:151712$$particulos$$pdriver
000151712 951__ $$a2025-03-19-14:21:19
000151712 980__ $$aARTICLE