Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

DOI10.1016/S0377-0427(01)00398-3zbMath1007.65048MaRDI QIDQ1602776

C. Mastroserio, Nicoletta Del Buono

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

rational Runge-Kutta methodsquadratic conservation laws\(S\)-conservative methodsHamiltonian linear systems

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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Cites Work

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• The Cayley transform in the numerical solution of unitary differential systems
• Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
• Numerical methods for Hermitian unitary differential systems
• On the numerical integration of orthogonal flows with Runge-Kutta methods
• Stability of Runge-Kutta Methods for Trajectory Problems
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques
• Numerical solution of isospectral flows
• Runge-Kutta methods for orthogonal and isospectral flows

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