Fronts Propagating with Curvature Dependent Speed : Algorithms Based on Hamilton-Jacobi Formulations

@inproceedings{Osher1987FrontsPW,
  title={Fronts Propagating with Curvature Dependent Speed : Algorithms Based on Hamilton-Jacobi Formulations},
  author={Stanley Osher and James A. Sethian},
  year={1987}
}
We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front also can be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand sides, by using techniques from hyperbolic conservation laws. Nonoscillatory schemes of various orders of accuracy are used to solve… CONTINUE READING
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