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Abstract: 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 can also 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 tech-niques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accu-racy are used to ... (Update)
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BibTeX entry: (Update)
S. Osher and J. Sethian. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi equations. Jour. Comp. Phys, 79:12--49, 1988. http://citeseer.ist.psu.edu/osher88fronts.html More
@article{ osher88fronts,
author = "Osher, Stanley and Sethian, James A",
title = "Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on {H}amilton-{J}acobi Formulations",
journal = "Journal of Computational Physics",
volume = "79",
pages = "12--49",
year = "1988",
url = "citeseer.ist.psu.edu/osher88fronts.html" }
Citations (may not include all citations):161 Efficient implementation of essentially non-oscillatory shoc.. (context) - Osher - 1987
118 Uniformly high order accurate essentially non-oscillatory sc.. (context) - Engquist, Osher et al. - 1988
36 University of California (context) - Ph, Dissertation - 1982
31 Pure Appl (context) - Comm - 1957
2 Pergammon Press (context) - Crystal, New - 1975
2 Hamilton-Jacobi Based Algorithms for Hele-Shaw Flow (context) - Osher
The graph only includes citing articles where the year of publication is known.
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