Publication
Numerische Mathematik
Paper

Stronger than uniform convergence of multistep difference methods

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Abstract

This paper is concerned with the numerical integration of ordinary differential equations of the order x. Sufficient conditions and also necessary ones are given for the s-th difference quotient of the approximate solution to approach the s-th derivative of the exact solution for s >0. This requires a more subtle examination of the multiplicities of the characteristic roots of modulus 1. © 1966 Springer-Verlag.

Date

01 Mar 1966

Publication

Numerische Mathematik

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