On invariant manifolds of finite-difference methods for second-order ordinary differential equations (Q1594276)
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scientific article; zbMATH DE number 1557602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invariant manifolds of finite-difference methods for second-order ordinary differential equations |
scientific article; zbMATH DE number 1557602 |
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On invariant manifolds of finite-difference methods for second-order ordinary differential equations (English)
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28 January 2001
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The author gives sufficient conditions under which the finite difference method for the second-order differential equation \(\ddot x= f(x)\), \(x\in \mathbb{R}^s\), has a stable invariant \((2\times s)\)-dimensional manifold.
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invariant manifolds
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stability
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finite difference method
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second-order differential equation
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