Geodesic
Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
Commentationes Mathematicae, Tome 45 (2005) no. 1, pp. 87-105.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.
DOI : 10.14708/cm.v45i1.5230
Mots-clés : initial boundary value problems, bicharacteristics, interpolating operators 
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Karolina Kropielnicka. Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems. Commentationes Mathematicae, Tome 45 (2005) no. 1, pp.  87-105. doi : 10.14708/cm.v45i1.5230. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i1.5230/

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