Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems

Karolina 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 -