Constructive characterization of Runge-Kutta methods that satisfy the M-condition

DOI10.1007/s40324-017-0126-0zbMath1401.65074OpenAlexW2614659535MaRDI QIDQ1706709

Manuel Calvo, Juan I. Montijano, Luis Rández

Publication date: 28 March 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-017-0126-0

zbMATH Keywords

Hamiltonian systemsRunge-Kutta methodssymplectic methods

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 (1)

Highly precise and efficient solution strategy for linear heat conduction and structural dynamics

Uses Software

• RODAS

Cites Work

• Construction of Runge-Kutta type methods for solving ordinary differential equations
• On symmetric Runge-Kutta methods of high order
• Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order
• Butcher's simplifying assumption for symplectic integrators
• Family of symplectic implicit Runge-Kutta formulae
• Symplectic Runge-Kutta methods with real eigenvalues
• Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage
• Stability of Runge-Kutta Methods for Trajectory Problems
• Symplectic Geometric Algorithms for Hamiltonian Systems
• Order Conditions for Canonical Runge–Kutta Schemes
• High order algebraically stable Runge-Kutta methods
• Implicit Runge–Kutta methods based on Radau quadrature formula
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