Convergence of approximation schemes for nonlocal front propagation equations
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- by Aurélien Monteillet;
- Math. Comp. 79 (2010), 125-146
- DOI: https://doi.org/10.1090/S0025-5718-09-02270-4
- Published electronically: June 8, 2009
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Abstract:
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.References
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Bibliographic Information
- Aurélien Monteillet
- Affiliation: Université de Bretagne Occidentale, UFR Sciences et Techniques, 6 av. Le Gorgeu, BP 809, 29285 Brest, France
- Email: aurelien.monteillet@univ-brest.fr
- Received by editor(s): September 22, 2008
- Received by editor(s) in revised form: February 13, 2009
- Published electronically: June 8, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 125-146
- MSC (2000): Primary 65M12, 53C44, 35K65, 70H20, 49L25
- DOI: https://doi.org/10.1090/S0025-5718-09-02270-4
- MathSciNet review: 2552220