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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1990 Volume 30, Number 7, Pages 1045–1056 (Mi zvmmf3233)

This article is cited in 3 papers

A relationship between order and degree for a stable formula with advanced nodes

V. R. Ibragimov

Baku

Abstract: A major problem in the implementation of $k$-step methods is to determine their accuracy. This problem is solved using relationships between order and degree for a $k$-step method. A relationship between order and degree is found for stable multistep methods with a second derivative.

UDC: 519.62

MSC: Primary 65L05; Secondary 65L06, 65L20, 34A34

Received: 05.05.1988
Revised: 06.07.1989


 English version:
USSR Computational Mathematics and Mathematical Physics, 1990, 30:4, 57–65

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