What do multistep methods approximate? (Q1110997)
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scientific article; zbMATH DE number 4074386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What do multistep methods approximate? |
scientific article; zbMATH DE number 4074386 |
Statements
What do multistep methods approximate? (English)
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1988
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A consistent strictly stable multistep multiderivative method for first- order differential equations is considered. It is shown that it does not directly approximate the flow of the vector field but it approximates a mapping related to it in a strong sense. The approximation properties of that mapping are applied to the question of invariant circles near hyperbolic periodic trajectories of an ordinary differential equation.
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consistent strictly stable multistep multiderivative method
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first-order differential equations
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flow of the vector field
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invariant circles
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hyperbolic periodic trajectories
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