Symplectic Runge-Kutta methods with real eigenvalues

DOI10.1007/BF01955878zbMath0807.65081MaRDI QIDQ1335005

Gerhard Wanner, Ernst Hairer

Publication date: 28 February 1995

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

symplectic Runge-Kutta methods\(W\)-transformationreal eigenvalues

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

Efficient symplectic Runge-Kutta methods ⋮ Higher order symplectic RK and RKN methods using perturbed collocation ⋮ Constructive characterization of Runge-Kutta methods that satisfy the M-condition ⋮ Order properties of symplectic Runge-Kutta-Nyström methods

Cites Work

• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
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