Game-theoretic schemes for generalized curvature flows in the plane
Extending some recent work by Kohn and Serfaty, we discuss a class of two-player discrete-time games whose value functions approximate the solutions of related geometric partial differential equations. Of particular interest are the numerical implications of the resulting game-theoretic approximatio...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/15/r2/abstr.html |
| _version_ | 1819295811503128576 |
|---|---|
| author | Matthew Rudd |
| author_facet | Matthew Rudd |
| author_sort | Matthew Rudd |
| collection | DOAJ |
| description | Extending some recent work by Kohn and Serfaty, we discuss a class of two-player discrete-time games whose value functions approximate the solutions of related geometric partial differential equations. Of particular interest are the numerical implications of the resulting game-theoretic approximation schemes for geometric motions. |
| first_indexed | 2024-12-24T04:48:09Z |
| format | Article |
| id | doaj.art-d6e5b6a44d514612ab8b81206b8828f7 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-24T04:48:09Z |
| publishDate | 2007-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d6e5b6a44d514612ab8b81206b8828f72022-12-21T17:14:38ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-02-01Conference15251264Game-theoretic schemes for generalized curvature flows in the planeMatthew RuddExtending some recent work by Kohn and Serfaty, we discuss a class of two-player discrete-time games whose value functions approximate the solutions of related geometric partial differential equations. Of particular interest are the numerical implications of the resulting game-theoretic approximation schemes for geometric motions.http://ejde.math.txstate.edu/conf-proc/15/r2/abstr.htmlGeometric level set equationscurvature flowsdynamic programming. |
| spellingShingle | Matthew Rudd Game-theoretic schemes for generalized curvature flows in the plane Electronic Journal of Differential Equations Geometric level set equations curvature flows dynamic programming. |
| title | Game-theoretic schemes for generalized curvature flows in the plane |
| title_full | Game-theoretic schemes for generalized curvature flows in the plane |
| title_fullStr | Game-theoretic schemes for generalized curvature flows in the plane |
| title_full_unstemmed | Game-theoretic schemes for generalized curvature flows in the plane |
| title_short | Game-theoretic schemes for generalized curvature flows in the plane |
| title_sort | game theoretic schemes for generalized curvature flows in the plane |
| topic | Geometric level set equations curvature flows dynamic programming. |
| url | http://ejde.math.txstate.edu/conf-proc/15/r2/abstr.html |
| work_keys_str_mv | AT matthewrudd gametheoreticschemesforgeneralizedcurvatureflowsintheplane |