On the numerical integration of orthogonal flows with Runge-Kutta methods

DOI10.1016/S0377-0427(99)00182-XzbMath0947.65134OpenAlexW2068027456WikidataQ127957310 ScholiaQ127957310MaRDI QIDQ1971821

Luis Rández, M. P. Laburta, Manuel Calvo, Juan I. Montijano

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00182-x

zbMATH Keywords

stabilityconvergencenumerical experimentsinitial value problemsimplicit Runge-Kutta methodsmatrix differential equationsorthogonal flowslinearly implicit orthogonal methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Dynamics induced by flows and semiflows (37C10) 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)

Related Items (3)

The orthogonal flows for orthogonal iteration ⋮ Preserving Poisson structure and orthogonality in numerical integration of differential equations ⋮ Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

Uses Software

• Matlab
• mctoolbox

Cites Work

• The Cayley transform in the numerical solution of unitary differential systems
• Numerical procedures based on Runge-Kutta methods for solving isospectral flows
• Unitary Integrators and Applications to Continuous Orthonormalization Techniques
• Runge-Kutta methods for orthogonal and isospectral flows
• Runge-Kutta type methods for orthogonal integration
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