Lax–Friedrichs sweeping scheme for static Hamilton–Jacobi equations

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.7K citations

Numerical Analysis, Geometric Modeling, Machine Vision +12

A PDE-Based Fast Local Level Set Method

Danping Peng, Barry Merriman, Stanley Osher et al. · Journal of Computational Physics · 1999 · 1.2K citations

Numerical Analysis, Engineering, Pde-constrained Optimization +5

Weighted ENO Schemes for Hamilton--Jacobi Equations

Guang-Shan Jiang, Danping Peng · SIAM Journal on Scientific Computing · 2000 · 1.1K citations

Numerical Analysis, Hamiltonian Theory, Numerical Computation +14

Efficient algorithms for globally optimal trajectories

John N. Tsitsiklis · IEEE Transactions on Automatic Control · 1995 · 849 citations

Numerical Analysis, Mathematical Programming, Engineering +16

High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations

Stanley Osher, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 1991 · 752 citations

Numerical Analysis, Numerical Method For Partial Differential Equation, Hyperbolic Conservation Law +7