High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations
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[1] Chi-Wang Shu,et al. High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes , 2003, SIAM J. Sci. Comput..
[2] Z. Xin,et al. Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes , 1998 .
[3] Chi-Wang Shu,et al. A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..
[4] Chi-Wang Shu,et al. A technique of treating negative weights in WENO schemes , 2000 .
[5] Danping Peng,et al. Weighted ENO Schemes for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..
[6] Gabriella Puppo,et al. A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws , 2002, SIAM J. Sci. Comput..
[7] P. Lions,et al. Two approximations of solutions of Hamilton-Jacobi equations , 1984 .
[8] P. Lions,et al. Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations. , 1984 .
[9] P. Lions,et al. Viscosity solutions of Hamilton-Jacobi equations , 1983 .
[10] Chi-Tien Lin,et al. $L^1$-Stability and error estimates for approximate Hamilton-Jacobi solutions , 2001, Numerische Mathematik.
[11] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[12] G. Russo,et al. Central WENO schemes for hyperbolic systems of conservation laws , 1999 .
[13] P. Souganidis. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations , 1985 .
[14] Chi-Wang Shu,et al. Analysis of the discontinuous Galerkin method for Hamilton—Jacobi equations , 2000 .
[15] J. Sethian,et al. FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .
[16] S. Osher,et al. High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations , 1990 .
[17] E. Tadmor,et al. New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations , 2000 .
[18] G.-S. Jiangy,et al. High-resolution Non-oscillatory Central Schemes with Non-staggered Grids for Hyperbolic Conservation Laws Dedicated to Our Friend and Colleague , 1997 .
[19] P. Arminjon,et al. Généralisation du schéma de Nessyahu-Tadmor pour une équation hyperbolique à deux dimensions d'espace , 1995 .
[20] P. Souganidis,et al. Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations , 1995 .
[21] R. Abgrall. Numerical discretization of the first‐order Hamilton‐Jacobi equation on triangular meshes , 1996 .
[22] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[23] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[24] M. Zennaro. Natural continuous extensions of Runge-Kutta methods , 1986 .
[25] S. Osher,et al. High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws , 1998 .
[26] Gabriella Puppo,et al. Compact Central WENO Schemes for Multidimensional Conservation Laws , 1999, SIAM J. Sci. Comput..
[27] Eitan Tadmor,et al. Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws , 1998, SIAM J. Sci. Comput..
[28] P. Lions. Generalized Solutions of Hamilton-Jacobi Equations , 1982 .
[29] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .
[30] S. Bryson,et al. Central Schemes for Multidimensional Hamilton-Jacobi Equations , 2002, SIAM J. Sci. Comput..
[31] Chi-Tien Lin,et al. High-Resolution Nonoscillatory Central Schemes for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..
[32] E. Tadmor,et al. Non-oscillatory central differencing for hyperbolic conservation laws , 1990 .
[33] S. Osher,et al. Uniformly high order accuracy essentially non-oscillatory schemes III , 1987 .
[34] G. Barles. Solutions de viscosité des équations de Hamilton-Jacobi , 1994 .
[35] P. Lax,et al. Systems of conservation equations with a convex extension. , 1971, Proceedings of the National Academy of Sciences of the United States of America.
[36] Gabriella Puppo,et al. High-Order Central Schemes for Hyperbolic Systems of Conservation Laws , 1999, SIAM J. Sci. Comput..
[37] S. Bryson,et al. High-order central WENO schemes for 1D Hamilton-Jacobi equations , 2003 .
[38] P. Lions,et al. User’s guide to viscosity solutions of second order partial differential equations , 1992, math/9207212.
[39] Eitan Tadmor,et al. New High-Resolution Semi-discrete Central Schemes for Hamilton—Jacobi Equations , 2000 .
[40] Alexander Kurganov,et al. Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations , 2001, SIAM J. Sci. Comput..
[41] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .