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AMCS
2007
57views Mathematics» more  AMCS 2007»
14 years 11 months ago
On the Numerical Approximation of First-Order Hamilton-Jacobi Equations
Rémi Abgrall, Vincent Perrier
MOC
2002
83views more  MOC 2002»
14 years 10 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»
14 years 10 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»
14 years 5 months 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
15 years 4 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