Implementation of two-step Runge-Kutta methods for ordinary differential equations (Q5961650)
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scientific article; zbMATH DE number 982517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implementation of two-step Runge-Kutta methods for ordinary differential equations |
scientific article; zbMATH DE number 982517 |
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Implementation of two-step Runge-Kutta methods for ordinary differential equations (English)
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9 October 1997
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local error estimation
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continuous interpolant
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stepsize control
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multistep methods
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two-step Runge-Kutta methods
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Nordsieck techniques
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numerical experiments
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0.9523173
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0.94977486
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0.9476891
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0.93588996
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0.92998457
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0.92886037
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The combination of traditional one-step methods with traditional multistep methods for numerical integration of ordinary differential equations is very natural and has been used by many people the last years.NEWLINENEWLINENEWLINEThe author investigates the potential for efficient implementation of two-step Runge-Kutta methods, in the sense of some implementation issues such as estimation of the local error, changing stepsize using Nordsieck techniques and construction of interpolants.NEWLINENEWLINENEWLINEThe numerical experiments indicate that the constructed error estimates are very reliable in a fixed and variable stepsize environment.
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