On asymptotic expansions of global errors

Eckhard Pfeifer

Mathematica Applicanda (1990)

  • Volume: 18, Issue: 32
  • ISSN: 1730-2668

Abstract

top
We consider a linear partial differential equation with constant coefficients and the corresponding difference equation. Conditions are given under which the error possesses an asymptotic expansion with respect to h. These results are applied to obtain asymptotic expansions of some quadratures and of the approximate solution of a boundary value problem for a second order differential equation.

How to cite

top

Eckhard Pfeifer. "On asymptotic expansions of global errors." Mathematica Applicanda 18.32 (1990): null. <http://eudml.org/doc/293102>.

@article{EckhardPfeifer1990,
abstract = {We consider a linear partial differential equation with constant coefficients and the corresponding difference equation. Conditions are given under which the error possesses an asymptotic expansion with respect to h. These results are applied to obtain asymptotic expansions of some quadratures and of the approximate solution of a boundary value problem for a second order differential equation.},
author = {Eckhard Pfeifer},
journal = {Mathematica Applicanda},
keywords = {Finite difference methods},
language = {eng},
number = {32},
pages = {null},
title = {On asymptotic expansions of global errors},
url = {http://eudml.org/doc/293102},
volume = {18},
year = {1990},
}

TY - JOUR
AU - Eckhard Pfeifer
TI - On asymptotic expansions of global errors
JO - Mathematica Applicanda
PY - 1990
VL - 18
IS - 32
SP - null
AB - We consider a linear partial differential equation with constant coefficients and the corresponding difference equation. Conditions are given under which the error possesses an asymptotic expansion with respect to h. These results are applied to obtain asymptotic expansions of some quadratures and of the approximate solution of a boundary value problem for a second order differential equation.
LA - eng
KW - Finite difference methods
UR - http://eudml.org/doc/293102
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.