dc.creator | Dratman, Ezequiel | |
dc.creator | Matera, Guillermo | |
dc.date.accessioned | 2018-05-30T12:14:30Z | |
dc.date.accessioned | 2018-11-06T11:50:30Z | |
dc.date.available | 2018-05-30T12:14:30Z | |
dc.date.available | 2018-11-06T11:50:30Z | |
dc.date.created | 2018-05-30T12:14:30Z | |
dc.date.issued | 2016-01 | |
dc.identifier | Dratman, Ezequiel; Matera, Guillermo; Newton's method and a mesh independence principle for certain semilinear boundary value problems; Elsevier Science; Journal Of Computational And Applied Mathematics; 292; 1-2016; 188-212 | |
dc.identifier | 0377-0427 | |
dc.identifier | http://hdl.handle.net/11336/46558 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1860063 | |
dc.description.abstract | We exhibit an algorithm which computes an ϵ-approximation of the positive solutions of a family of boundary-value problems with Neumann boundary conditions. Such solutions arise as the stationary solutions of a family of semilinear parabolic equations with Neumann boundary conditions. The algorithm is based on a finite-dimensional Newton iteration associated with a suitable discretized version of the problem under consideration. To determine the behavior of such a discrete iteration we establish an explicit mesh-independence principle. We apply a homotopy-continuation algorithm to compute a starting point of the discrete Newton iteration, and the discrete Newton iteration until an ϵ-approximation of the stationary solution is obtained. The algorithm performs roughly O((1/ϵ)1/2 ) flops and function evaluations. | |
dc.language | eng | |
dc.publisher | Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0377042715003532 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cam.2015.07.004 | |
dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | BOUNDARY-VALUE PROBLEMS | |
dc.subject | NEUMANN BOUNDARY CONDITIONS | |
dc.subject | NEWTON'S METHOD | |
dc.subject | MESH-INDEPENDENCE PRINCIPLE | |
dc.title | Newton's method and a mesh independence principle for certain semilinear boundary value problems | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |