Numerical solution of the Monge–Ampère equation by a Newton's algorithm |
| |
| Authors: | Grégoire Loeper Francesca Rapetti |
| |
| Affiliation: | 1. Département de mathématiques, École polytechnique fédérale de Lausanne, CH-1015 Lausanne, Switzerland;2. Laboratoire J.-A. Dieudonné, CNRS & université de Nice et Sophia-Antipolis, parc Valrose, 06108 Nice cedex 02, France |
| |
| Abstract: | We solve numerically the Monge–Ampère equation with periodic boundary condition using a Newton's algorithm. We prove convergence of the algorithm, and present some numerical examples, for which a good approximation is obtained in 10 iterations. To cite this article: G. Loeper, F. Rapetti, C. R. Acad. Sci. Paris, Ser. I 340 (2005). |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
