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https://open.uns.ac.rs/handle/123456789/19377
Title: | A posteriori maximum-norm error bounds for the biquadratic spline collocation method applied to reaction-diffusion problems | Authors: | Radojev Goran Linß Torsten |
Issue Date: | 2018 | Journal: | Computational and Applied Mathematics | Abstract: | © 2018, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Collocation with biquadratic C1-splines for a singularly perturbed reaction-diffusion problem in two dimensions is studied. A second-order supremum norm a posteriori error bound is derived for the collocation method on an arbitrary mesh. Numerical results are presented that support our theoretical estimate. | URI: | https://open.uns.ac.rs/handle/123456789/19377 | ISSN: | 0101-8205 | DOI: | 10.1007/s40314-018-0599-1 |
Appears in Collections: | PMF Publikacije/Publications |
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