Volume preserving RK methods for linear systems

DOI10.1007/BF02671133zbMath0976.65063OpenAlexW2331578107MaRDI QIDQ1594867

Hong-Wei Li, Meng-Zhao Qin

Publication date: 19 December 2001

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02671133

zbMATH Keywords

Runge-Kutta methodsymplectic methodvolume preserving method

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Volume-preserving schemes and numerical experiments
• Volume-preserving algorithms for source-free dynamical systems
• Partitioned Runge-Kutta methods as phase volume preserving integrators
• Solving Ordinary Differential Equations I
• Numerical Integrators that Preserve Symmetries and Reversing Symmetries
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