118186 20240319081019.0 doi 10.1002/mma.8446 sideral 129573 ART-2022-129573 eng Gracia Lozano, J. L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Parameter-uniform numerical methods for singularly perturbed linear transport problems 2022 Access copy available to the general public Unrestricted Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise-uniform Shishkin meshes and the numerical approximations are shown to be parameter-uniformly convergent in the maximum norm. A transport problem from the modelling of fluid–particle interaction is formulated and used as a test problem for these numerical methods. Numerical results are presented to illustrate the performance of the numerical methods and to confirm the theoretical error bounds established in the paper. © 2022 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd. info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00 info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/semantics/openAccess by-nc-sa http://creativecommons.org/licenses/by-nc-sa/3.0/es/ 2.9 2022 MATHEMATICS, APPLIED 29 / 267 = 0.109 2022 Q1 T1 0.628 2022 Engineering (miscellaneous) 2022 Q1 Mathematics (miscellaneous) 2022 Q2 4.5 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Navas-Montilla, A. Universidad de Zaragoza (orcid)0000-0002-3465-6898 O''Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos (2022), 8446 [22 p.] Math. methods appl. sci. Mathematical Methods in the Applied Sciences 0170-4214 1894386 http://zaguan.unizar.es/record/118186/files/texto_completo.pdf Versión publicada 2220866 http://zaguan.unizar.es/record/118186/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118186 articulos driver 2024-03-18-15:56:49 ARTICLE