dc.creator | Pintarelli, María Beatriz | |
dc.creator | Vericat, Fernando | |
dc.date.accessioned | 2018-06-08T18:27:45Z | |
dc.date.accessioned | 2018-11-06T14:58:38Z | |
dc.date.available | 2018-06-08T18:27:45Z | |
dc.date.available | 2018-11-06T14:58:38Z | |
dc.date.created | 2018-06-08T18:27:45Z | |
dc.date.issued | 2016-12 | |
dc.identifier | Pintarelli, María Beatriz; Vericat, Fernando; On the numerical solution of the linear and nonlinear Poisson equations seen as bi-dimensional inverse moment problems; Taylor & Francis; Journal of Interdisciplinary Mathematics; 19; 5-6; 12-2016; 927-944 | |
dc.identifier | 0972-0502 | |
dc.identifier | http://hdl.handle.net/11336/47922 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1892350 | |
dc.description.abstract | The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary conditions is considered. Using Green identity we show that this problem is equivalent to solve a bi-dimensional Fredholm integral equation of the first kind which can in turn be handled as a bi-dimensional generalized inverse moment problem. In the particular linear case the Helmholtz PDE is recovered and, within our scheme, the problem reduces to a bi-dimensional Hausdorff moment problem. In all the cases we find approximated solutions for the associated finite moment problems and bounds for the corresponding errors. | |
dc.language | eng | |
dc.publisher | Taylor & Francis | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/09720502.2014.916845 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/09720502.2014.916845 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | NONLINEAR POISSON EQUATION | |
dc.subject | FREDHOL INTEGRAL EQUATIONS | |
dc.subject | HAUSDORFF MOMENT PROBLEM | |
dc.subject | GENERALIZED MOMENT PROBLEM | |
dc.title | On the numerical solution of the linear and nonlinear Poisson equations seen as bi-dimensional inverse moment problems | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |