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The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains

The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with... We consider degenerate parabolic and elliptic fully nonlinear Bellman equations with Lipschitz coefficients in domains. Error bounds of order h 1/2 in the sup norm for certain types of finite-difference schemes are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Methods
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-007-0879-4
Publisher site
See Article on Publisher Site

Abstract

We consider degenerate parabolic and elliptic fully nonlinear Bellman equations with Lipschitz coefficients in domains. Error bounds of order h 1/2 in the sup norm for certain types of finite-difference schemes are obtained.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Jun 1, 2007

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