The Monge-Ampère equation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912161525137408 |
|---|---|
| author | Neilan, Michael Salgado, Abner J. Zhang, Wujun |
| author_facet | Neilan, Michael Salgado, Abner J. Zhang, Wujun |
| contents | We review recent advances in the numerical analysis of the Monge-Ampère equation. Various computational techniques are discussed including wide-stencil finite difference schemes, two-scaled methods, finite element methods, and methods based on geometric considerations. Particular focus is the development of appropriate stability and consistency estimates which lead to rates of convergence of the discrete approximations. Finally we present numerical experiments which highlight each method for a variety of test problem with different levels of regularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_05108 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The Monge-Ampère equation Neilan, Michael Salgado, Abner J. Zhang, Wujun Numerical Analysis 65N12 We review recent advances in the numerical analysis of the Monge-Ampère equation. Various computational techniques are discussed including wide-stencil finite difference schemes, two-scaled methods, finite element methods, and methods based on geometric considerations. Particular focus is the development of appropriate stability and consistency estimates which lead to rates of convergence of the discrete approximations. Finally we present numerical experiments which highlight each method for a variety of test problem with different levels of regularity. |
| title | The Monge-Ampère equation |
| topic | Numerical Analysis 65N12 |
| url | https://arxiv.org/abs/1901.05108 |