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| Format: | Artículo científico |
| Language: | en |
| Published: |
Universidad de Costa Rica
2015
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| Online Access: | https://www.redalyc.org/articulo.oa?id=45338604005 |
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Table of Contents:
- AN ADAPTIVE WAVELET-GALERKIN METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS VICTORIA VAMPA MARÍA T. MARTÍN Física, Astronomía y Matemáticas spline wavelet Galerkin multiresolution analysis In this paper an Adaptive Wavelet-Galerkin method for the solution of parabolic partial differential equations modeling physical problems with different spatial and temporal scales is developed. A semi-implicit time difference scheme is applied and B-spline multiresolution structure on the interval is used. As in many cases these solutions are known to present localized sharp gradients, local error estimators are designed and an efficient adaptive strategy to choose the appropriate scale for each time is developed. Finally, experiments were performed to illustrate the applicability and efficiency of the proposed method. 2015 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45338604005 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.22