Short note: O(N) implementation of the fast marching algorithm
Journal of Computational Physics
A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations
Journal of Scientific Computing
A second order discontinuous Galerkin fast sweeping method for Eikonal equations
Journal of Computational Physics
Journal of Computational Physics
Fast sweeping method for the factored eikonal equation
Journal of Computational Physics
Journal of Scientific Computing
Some Improvements for the Fast Sweeping Method
SIAM Journal on Scientific Computing
A boundary-only meshless method for numerical solution of the Eikonal equation
Computational Mechanics
Journal of Computational Physics
A new shape from shading approach for specular surfaces
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part III
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
SIAM Journal on Scientific Computing
A Third Order Accurate Fast Marching Method for the Eikonal Equation in Two Dimensions
SIAM Journal on Scientific Computing
Computers & Mathematics with Applications
The Chebyshev spectral viscosity method for the time dependent Eikonal equation
Mathematical and Computer Modelling: An International Journal
Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws
Journal of Computational Physics
A uniformly second order fast sweeping method for eikonal equations
Journal of Computational Physics
Journal of Computational Physics
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We construct high order fast sweeping numerical methods for computing viscosity solutions of static Hamilton---Jacobi equations on rectangular grids. These methods combine high order weighted essentially non-oscillatory (WENO) approximations to derivatives, monotone numerical Hamiltonians and Gauss---Seidel iterations with alternating-direction sweepings. Based on well-developed first order sweeping methods, we design a novel approach to incorporate high order approximations to derivatives into numerical Hamiltonians such that the resulting numerical schemes are formally high order accurate and inherit the fast convergence from the alternating sweeping strategy. Extensive numerical examples verify efficiency, convergence and high order accuracy of the new methods.