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Convergence of approximation schemes for nonlocal front propagation equations
2010
Mathematics of Computation
We provide a convergence result for numerical schemes approximating nonlocal front propagation equations. Our schemes are based on a recently investigated notion of a weak solution for these equations. We also give examples of such schemes, for a dislocation dynamics equation, and for a FitzHugh-Nagumo type system. which, in the level-set approach for front propagation (see [19, 18, 12] for a complete overview of this method), describe the movement of a family {K(t)} t∈[0,T ] of compact subsets
doi:10.1090/s0025-5718-09-02270-4
fatcat:kbe36pcnbzhjvacqip6vipf55y