On multi-parameter error expansions in finite difference methods for linear Dirichlet problems

Dinh, Ta Van. "On multi-parameter error expansions in finite difference methods for linear Dirichlet problems." Aplikace matematiky 32.1 (1987): 16-24. <http://eudml.org/doc/15476>.

@article{Dinh1987,
abstract = {The paper is concerned with the finite difference approximation of the Dirichlet problem for a second order elliptic partial differential equation in an $n$-dimensional domain. Considering the simplest finite difference scheme and assuming a sufficient smoothness of the domain, coefficients of the equation, right-hand part, and boundary condition, the author develops a general error expansion formula in which the mesh sizes of an ($n$-dimensional) rectangular grid in the directions of the individual axes appear as parameters.},
author = {Dinh, Ta Van},
journal = {Aplikace matematiky},
keywords = {error expansion; Dirichlet problem; selfadjoint; central difference scheme; finite difference method; error expansion; Dirichlet problem; selfadjoint; central difference scheme},
language = {eng},
number = {1},
pages = {16-24},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On multi-parameter error expansions in finite difference methods for linear Dirichlet problems},
url = {http://eudml.org/doc/15476},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Dinh, Ta Van
TI - On multi-parameter error expansions in finite difference methods for linear Dirichlet problems
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 1
SP - 16
EP - 24
AB - The paper is concerned with the finite difference approximation of the Dirichlet problem for a second order elliptic partial differential equation in an $n$-dimensional domain. Considering the simplest finite difference scheme and assuming a sufficient smoothness of the domain, coefficients of the equation, right-hand part, and boundary condition, the author develops a general error expansion formula in which the mesh sizes of an ($n$-dimensional) rectangular grid in the directions of the individual axes appear as parameters.
LA - eng
KW - error expansion; Dirichlet problem; selfadjoint; central difference scheme; finite difference method; error expansion; Dirichlet problem; selfadjoint; central difference scheme
UR - http://eudml.org/doc/15476
ER -