New High-Resolution Semi-discrete Central Schemes for Hamilton—Jacobi Equations

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Hermite WENO schemes for Hamilton-Jacobi equations (2005, unknown): “Central high resolution schemes were developed in [3,4,14].”
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations (2001, methodology): “We follow the approach in [27], but this time we utilize more precise information about the one-sided local speeds of propagation.”
Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers (2002, unknown): “In this sense, the simplicity offered by the above semi-discrete central schemes coupled with one’s favorite ODEs solvers, leads to a class of easily implemented ‘black-box’ methods for solving one- and two-dimensional systems of conservation laws and related equations governing the evolution of lar”
An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions (2003, methodology): “One of efficient ways to increase the resolution for the numerical approximations of the Hamilton–Jacobi equations is to use higher-order numerical discretization, such as the high-order ENO scheme of Osher and Shu [27], high-resolution central schemes of Kurganov and Tadmor [18], and high-order dis”