# Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems

Commentationes Mathematicae (2005)

- Volume: 45, Issue: 1
- ISSN: 2080-1211

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topKarolina Kropielnicka. "Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems." Commentationes Mathematicae 45.1 (2005): null. <http://eudml.org/doc/291932>.

@article{KarolinaKropielnicka2005,

abstract = {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.},

author = {Karolina Kropielnicka},

journal = {Commentationes Mathematicae},

keywords = {initial boundary value problems; bicharacteristics; interpolating operators},

language = {eng},

number = {1},

pages = {null},

title = {Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems},

url = {http://eudml.org/doc/291932},

volume = {45},

year = {2005},

}

TY - JOUR

AU - Karolina Kropielnicka

TI - Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems

JO - Commentationes Mathematicae

PY - 2005

VL - 45

IS - 1

SP - null

AB - 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.

LA - eng

KW - initial boundary value problems; bicharacteristics; interpolating operators

UR - http://eudml.org/doc/291932

ER -

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