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High Order Finite Difference Hermite Weno Fast Sweeping Methods for Static Hamilton-Jacobi Equations

High Order Finite Difference Hermite Weno Fast Sweeping Methods for Static Hamilton-Jacobi Equations

In this paper, we propose a novel Hermite weighted essentially non-oscillatory (HWENO) fast sweeping method to solve the static Hamilton-Jacobi equations efficiently.During the HWENO reconstruction procedure, the proposed method is built upon a new finite difference fifth order HWENO scheme involving one big stencil and two small stencils.However, one major …