A sixth order symmetric and symplectic diagonally implicit Runge-Kutta method

A sixth order symmetric and symplectic diagonally implicit Runge-Kutta method

The numerical integration of Hamiltonian systems is considered in this paper (for the numerical solution of general problems of this category see [9] - [32] and references therein). A classical symplectic and symmetric diagonally implicit Runge-Kutta method of 6th algebraic order is presented. Also...

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Hauptverfasser: Kalogiratou Zacharoula, Monovasilis Theodore, Simos, T E
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Hamiltonian functions
Numerical integration
Runge-Kutta method
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Beschreibung
Zusammenfassung:The numerical integration of Hamiltonian systems is considered in this paper (for the numerical solution of general problems of this category see [9] - [32] and references therein). A classical symplectic and symmetric diagonally implicit Runge-Kutta method of 6th algebraic order is presented. Also an exponentially fitted modification will be given.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4897862