Implicit difference methods for nonlinear first order partial functional differential systems

Elżbieta Puźniakowska-Gałuch. "Implicit difference methods for nonlinear first order partial functional differential systems." Applicationes Mathematicae 37.4 (2010): 459-482. <http://eudml.org/doc/279869>.

@article{ElżbietaPuźniakowska2010,
abstract = {Initial problems for nonlinear hyperbolic functional differential systems are considered. Classical solutions are approximated by solutions of suitable quasilinear systems of difference functional equations. The numerical methods used are difference schemes which are implicit with respect to the time variable. Theorems on convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type. Numerical examples are given.},
author = {Elżbieta Puźniakowska-Gałuch},
journal = {Applicationes Mathematicae},
keywords = {error estimates; Haar pyramid},
language = {eng},
number = {4},
pages = {459-482},
title = {Implicit difference methods for nonlinear first order partial functional differential systems},
url = {http://eudml.org/doc/279869},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Elżbieta Puźniakowska-Gałuch
TI - Implicit difference methods for nonlinear first order partial functional differential systems
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 4
SP - 459
EP - 482
AB - Initial problems for nonlinear hyperbolic functional differential systems are considered. Classical solutions are approximated by solutions of suitable quasilinear systems of difference functional equations. The numerical methods used are difference schemes which are implicit with respect to the time variable. Theorems on convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type. Numerical examples are given.
LA - eng
KW - error estimates; Haar pyramid
UR - http://eudml.org/doc/279869
ER -