Symplectic integration schemes for the ABC flow (Q1919126)
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scientific article; zbMATH DE number 912408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic integration schemes for the ABC flow |
scientific article; zbMATH DE number 912408 |
Statements
Symplectic integration schemes for the ABC flow (English)
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6 January 1997
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The numerical solution of Arnold-Beltrami-Childress (ABC) flows is investigated. Symplectic integration schemes for the ABC flows are developed. These schemes are explicit and a comparison with a fourth-order Runge-Kutta method is presented. Numerical tests show that the proposed symplectic schemes are more efficient for the calculation of stable orbits.
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Hamilton equations
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ABC flow
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Arnold-Beltrami-Childress flows
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symplectic integration schemes
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numerical tests
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Runge-Kutta method
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stable orbits
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