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Multistep Methods for Conservative Problems

open access: yesMediterranean Journal of Mathematics, 2005
We discuss the use of linear multistep methods for the solution of conservative (in particular Hamiltonian) problems. Despite the lack of good results concerning their behaviour, linear multistep methods have been satisfactorily used by researchers in applicative fields. We try to elucidate the requirements that a linear multistep method should fulfill
IAVERNARO, Felice   +2 more
openaire   +4 more sources

New runge kutta starters for multistep methods

International Journal of Computer Mathematics, 1999
A. R. Yaakub, David J. Evans 0001
exaly   +2 more sources

A -Stable Composite Multistep Methods

Journal of the ACM, 1973
Consider the set of multistep formulas ∑ l -1 j mn - k α ij x mn + j
Harry M. Sloate, Theodore A. Bickart
openaire   +2 more sources

Multistep Methods With Modified Predictors and Correctors

Journal of the ACM, 1967
In April, 1964, Gragg and Stetter published a set of numerical methods for solving y′ = f ( x , y ) which rely on some very accurate correctors, using a “nonstep” point within the interval of integration.
John J. Kohfeld, Gene Thomas Thompson
openaire   +2 more sources

Generalized Multistep Predictor-Corrector Methods

Journal of the ACM, 1964
The order p which is obtainable with a stable k -step method in the numerical solution of y′ = f ( x , y ) is limited to p = k + 1 by the theorems of
William B. Gragg, Hans J. Stetter
openaire   +2 more sources

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