[图书][B] Fast methods for static Hamilton-Jacobi partial differential equations
AB Vladimirsky - 2001 - search.proquest.com
2001•search.proquest.com
… We develop a family of fast methods approximating the solution to a wide class of static
Hamilton-Jacobi partial differential equations. These partial differential equations are considered
in the context of control-theoretic and front-propagation problems. In general, to produce a
numerical solution to such a problem, one has to solve a large system of coupled non-…
We introduce a family of new Ordered Upwinding Methods (OUM) for general (anisotropic)
problems and prove convergence to the viscosity solution of the corresponding Hamilton-Jacobi …
Hamilton-Jacobi partial differential equations. These partial differential equations are considered
in the context of control-theoretic and front-propagation problems. In general, to produce a
numerical solution to such a problem, one has to solve a large system of coupled non-…
We introduce a family of new Ordered Upwinding Methods (OUM) for general (anisotropic)
problems and prove convergence to the viscosity solution of the corresponding Hamilton-Jacobi …
Abstract
We develop a family of fast methods approximating the solution to a wide class of static Hamilton-Jacobi partial differential equations. These partial differential equations are considered in the context of control-theoretic and front-propagation problems.
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