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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. (English) Zbl 0659.65132
New methodologies are formulated for following fronts propagating with curvature-dependent speed, which models, among other things, crystal growth and flame propagation. The algoritms are based on an approximation of the Hamilton-Jacobi formulations for such problems. The paper is carefully written with numerical exemplification (including detailed graphics) which shows that the numerical schemes accurately capture the formation of sharp gradients and cusps in the moving fronts.
Reviewer: R.S.Anderssen

MSC:
65Z05Applications of numerical analysis to physics
65M99Numerical methods for IVP of PDE
35L65Conservation laws
80A25Combustion, interior ballistics
82D25Crystals (statistical mechanics)