A study of numerical methods for the level set approach

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

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow

Mark Sussman, Peter Smereka, Stanley Osher · Journal of Computational Physics · 1994 · 4.7K citations

Natural Sciences, Mechanical Engineering, Physics +10

Total variation diminishing Runge-Kutta schemes

Sigal Gottlieb, Chi‐Wang Shu · Mathematics of Computation · 1998 · 2.5K citations · Full text

Natural Sciences, Computational Engineering, Physics +17

Fast Marching Methods

James A. Sethian · SIAM Review · 1999 · 1.5K citations

Computing, Geophysics, Mathematics +16

A Fast Level Set Method for Propagating Interfaces

David Adalsteinsson, James A. Sethian · Journal of Computational Physics · 1995 · 1.3K citations

Engineering, Computer Engineering, Computer Science +11