An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems (Q466814)
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scientific article; zbMATH DE number 6363088
| Language | Label | Description | Also known as |
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| English | An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems |
scientific article; zbMATH DE number 6363088 |
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An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems (English)
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31 October 2014
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The authors study an energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems. They first briefly review basic concepts of exponentially fitted Runge-Kutta (EFRK) methods and summarize the construction of symplectic EFRK methods. Later, they derive second- and fourth-order energy-preserving exponentially fitted continuous stage Runge-Kutta methods. Numerical examples are given.
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continuous stage Runge-Kutta method
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energy-preservation
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exponential fitting
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Hamiltonian systems
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symplectic method
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numerical example
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