Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 251--264.

Game-theoretic schemes for generalized curvature flows in the plane

Matthew Rudd

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.

Published February 28, 2007.
Math Subject Classifications: 35K10.
Key Words: Geometric level set equations; curvature flows; dynamic programming.

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Matthew Rudd
Department of Mathematics
University of Texas at Austin
Austin, TX 78712, USA

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