000130821 001__ 130821 000130821 005__ 20241125101133.0 000130821 0247_ $$2doi$$a10.1515/forum-2022-0334 000130821 0248_ $$2sideral$$a131838 000130821 037__ $$aART-2023-131838 000130821 041__ $$aeng 000130821 100__ $$0(orcid)0000-0003-2453-7841$$aAbadías Ullod, Luciano$$uUniversidad de Zaragoza 000130821 245__ $$aTime-step heat problem on the mesh: asymptotic behaviour and decay rates 000130821 260__ $$c2023 000130821 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130821 5203_ $$aIn this article, we study the asymptotic behavior and decay of the solution of the fully discrete heat problem. We show basic properties of its solutions, such as the mass conservation principle and their moments, and we compare them to the known ones for the continuous analogue problems. We present the fundamental solution, which is given in terms of spherical harmonics, and we state pointwise and ℓp estimates for that. Such considerations allow to prove decay and large-time behavior results for the solutions of the fully discrete heat problem, giving the corresponding rates of convergence on ℓp spaces. 000130821 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E26-17R$$9info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00$$9info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01 000130821 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130821 590__ $$a1.0$$b2023 000130821 592__ $$a0.692$$b2023 000130821 591__ $$aMATHEMATICS$$b117 / 490 = 0.239$$c2023$$dQ1$$eT1 000130821 593__ $$aMathematics (miscellaneous)$$c2023$$dQ1 000130821 591__ $$aMATHEMATICS, APPLIED$$b181 / 332 = 0.545$$c2023$$dQ3$$eT2 000130821 593__ $$aApplied Mathematics$$c2023$$dQ2 000130821 594__ $$a1.6$$b2023 000130821 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000130821 700__ $$aGonzález-Camus, Jorge 000130821 700__ $$aRueda, Silvia 000130821 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130821 773__ $$g35, 6 (2023), [20 pp.]$$pForum math.$$tFORUM MATHEMATICUM$$x0933-7741 000130821 8564_ $$s1623725$$uhttps://zaguan.unizar.es/record/130821/files/texto_completo.pdf$$yVersión publicada$$zinfo:eu-repo/semantics/openAccess 000130821 8564_ $$s1896451$$uhttps://zaguan.unizar.es/record/130821/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada$$zinfo:eu-repo/semantics/openAccess 000130821 909CO $$ooai:zaguan.unizar.es:130821$$particulos$$pdriver 000130821 951__ $$a2024-11-22-11:59:40 000130821 980__ $$aARTICLE