SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION

DOI10.11948/2017074zbMath1474.65223OpenAlexW2618430480MaRDI QIDQ5149634

Kaifeng Xia, Geng Sun, Yuhao Cong

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017074

zbMATH Keywords

Runge-Kutta method\(W\)-transformationsymplectic and algebraically stable method

Mathematics Subject Classification ID

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

Related Items

Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods
• Construction of Runge-Kutta type methods for solving ordinary differential equations
• Symplectic partitioned Runge-Kutta methods with minimal phase-lag
• On symmetric Runge-Kutta methods of high order
• Asymptotic expansions of the global error of fixed-stepsize methods
• Runge-Kutta schemes for Hamiltonian systems
• Perturbed collocation and Runge-Kutta methods
• On symplectic and symmetric ARKN methods
• Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
• Runge-Kutta-methods with expansion in even powers of h
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• A short proof on nonlinearA-stability
• Stability Criteria for Implicit Runge–Kutta Methods
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• Implicit Runge-Kutta Processes