One step semi-explicit methods based on the Cayley transform for solving isospectral flows

DOI10.1016/S0377-0427(97)00236-7zbMath0904.65068MaRDI QIDQ1128068

Fasma Diele, Tiziano Politi, Luciano Lopez

Publication date: 19 January 1999

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

zbMATH Keywords

Cayley transformdifferential systemisospectral methods

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)

Related Items

Extrapolation in Lie groups with approximated BCH-formula, Centrosymmetric isospectral flows and some inverse eigenvalue problems, Exact low-order polynomial expressions to compute the Kolmogoroff–Nagumo mean in the affine symplectic group of optical transference matrices, Geometric integration on Lie groups using the Cayley transform with focus on lattice QCD, Quadrature methods based on the Cayley transform, Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices, Geometric Euler--Maruyama Schemes for Stochastic Differential Equations in SO(n) and SE(n), Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems, Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups, Lie group methods for rigid body dynamics and time integration on manifolds

Cites Work

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• 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
• Numerical solution of isospectral flows
• The Toda lattice. II. Existence of integrals
• Runge-Kutta methods for orthogonal and isospectral flows