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» On the Numerical Approximation of First-Order Hamilton-Jacob...
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MOC
2002
83views more  MOC 2002»
13 years 5 months ago
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case
A new upper bound is provided for the L-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. T...
Samuel Albert, Bernardo Cockburn, Donald A. French...
MOC
2002
148views more  MOC 2002»
13 years 5 months ago
Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
Jerry Markman, I. Norman Katz
JSCIC
2010
150views more  JSCIC 2010»
13 years 16 days ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
HYBRID
2005
Springer
13 years 11 months ago
A Toolbox of Hamilton-Jacobi Solvers for Analysis of Nondeterministic Continuous and Hybrid Systems
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
Ian M. Mitchell, Jeremy A. Templeton