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hyperbolic partial differential equation

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The Lax–Friedrichs method, named after Peter Lax and Kurt O. Friedrichs, is a numerical method for the solution of hyperbolic partial differential equations based on finite differences.
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It can, however be used as a building block for building high-order numerical schemes for solving hyperbolic partial differential equations, much like Euler time steps can be used as a building block for creating high-order numerical integrators for ordinary differential equations.
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He received his PhD in 1949, also from New York University, for his thesis Nonlinear System of Hyperbolic Partial Differential Equations in Two Independent Variables.
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He began to put his greatest efforts into the numerical solution of hyperbolic partial differential equations, using finite difference methods and the method of characteristics.
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It is to this reading, to these exchanges of views, that I owe the greater part of my later works, almost all of which deal with the calculus of variations, the theory of Hugoniot, hyperbolic partial differential equations, Huygens ' principle.
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He applied his results in the theory of hyperbolic and parabolic partial differential equations .
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These programs included povray (a ray tracing program used to calculate frames for a film), Cactus, a program that solves the Einstein Equations, which are ten non-linear joint hyperbolic-elliptical partial differential equations.
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Some linear, second-order partial differential equations can be classified as parabolic, hyperbolic and elliptic.
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