2024
DOI: 10.11648/j.engmath.20230701.12
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Diagonally Implicit Symplectic Runge-Kutta Methods with 7th Algebraic Order

Thae Oh,
Ji Choe,
Jin Kim

Abstract: The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. Since Hamiltonian systems have good properties such as symplecticity, numerical methods that preserve these properties have attracted the great attention. In fact, the explicit Runge-Kutta methods have used due to that schemes are very simple and its computational amounts are very small. However, the explicit schemes aren’t stable so the implicit Runge-Kutta methods have widely studied. Among those implicit… Show more

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