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      Cover image for High-Order Semi-Discrete Central-Upwind Schemes for Multi-Dimensional Hamilton-Jacobi Equations
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      High-Order Semi-Discrete Central-Upwind Schemes for Multi-Dimensional Hamilton-Jacobi Equations

      Steve Bryson,Doron Levy

      We present the first fifth order, semi-discrete central upwind method for approximating solutions of multi-dimensional Hamilton-Jacobi equations. Unlike most of the commonly used high order upwind schemes, our scheme is…

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      Cover image for High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations
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      High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations

      Steve Bryson,Doron Levy

      We present new third- and fifth-order Godunov-type central schemes for approximating solutions of the Hamilton-Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes…

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