dc.creator | Golik, Wojciech L. | |
dc.date | 2018-04-04 | |
dc.date.accessioned | 2019-06-28T17:06:24Z | |
dc.date.available | 2019-06-28T17:06:24Z | |
dc.identifier | http://www.revistaproyecciones.cl/article/view/2739 | |
dc.identifier | 10.22199/S07160917.1998.0002.00005 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/101064 | |
dc.description | An adaptive version of an algorithm, first described by Greengard and Rokhlin, for numerical solution of two-point boundary value problems is proposed. The algorithm transforms two-point BVPs into integral equations, which are then solved by the Nyström method using Chebyshev quadratures. The dense system of algebraic equations is solved in recursively in O(N) operations. The a posteriori node addition algorithm based on the size of Chebyshev coefficients of the solution approximations yields a robust method. The proposed approach combines the advantages of integral formulation and fast solution of dense linear systems with an automatic resolution of boundary and internal layers. | es-ES |
dc.format | application/pdf | |
dc.language | spa | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | http://www.revistaproyecciones.cl/article/view/2739/2310 | |
dc.rights | Derechos de autor 1998 Proyecciones. Journal of Mathematics | es-ES |
dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 17 No 2 (1998); 201-213 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 17 Núm. 2 (1998); 201-213 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.title | A note on an adaptive algorithm based on Chebyshev coefficients for two-point boundary value problems | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |