Stability and convergence of variable order multistep methods

作者： C. W. Geart , D. S. Watanabe

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摘要: A method based on variable step Adams formulas is shown to be stable for any order changing scheme. the Nordsieck form of formulas, however, only if size and are fixed p steps following a change an r-step formula,where r or $r + 1$ depending algorithm used interpolate necessary higher derivatives. Finally, general methods consistent strongly multistep multivalue formula certain number each changes small. This independent differential equation sizes.