Symplectic properties of multistep Runge-Kutta methods.

DOI10.1016/S0898-1221(02)00260-2zbMath1036.65111OpenAlexW2006495794MaRDI QIDQ1416343

Yi-Fa Tang, Ai-Guo Xiao

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00260-2

zbMATH Keywords

Hamiltonian systemsgeneral linear methodsMultistep Runge-Kutta methodSymplecticity

Mathematics Subject Classification ID

Related Items (1)

Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order

Cites Work

• Efficiently implementable multivalue methods for solving stiff ordinary differential equations
• Diagonally-implicit multi-stage integration methods
• On quadratic invariants and symplectic structure
• The symplecticity of multi-step methods
• High Order Algebraically Stable Multistep Runge–Kutta Methods
• Non-linear stability of a general class of differential equation methods
• Stability and $B$-convergence properties of multistep Runge-Kutta methods
• Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
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