Geodesic
On asymptotic expansions of global errors
Mathematica Applicanda, Tome 18 (1990) no. 32, pp. 97-102.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/ma.v18i32.1740
Classification : 65N06
Mots-clés : Finite difference methods 
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Eckhard Pfeifer. On asymptotic expansions of global errors. Mathematica Applicanda, Tome 18 (1990) no. 32, pp.  97-102. doi : 10.14708/ma.v18i32.1740. http://geodesic.mathdoc.fr/articles/10.14708/ma.v18i32.1740/

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