Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups
type: Item
instance of: scholarly article
title: Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups
zbMATH Open document ID: 0981.65080
DOI: 10.1016/S0168-9274(99)00049-5
published in: Applied Numerical Mathematics
publication date: 2002-04-01T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 37M25
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
zbMATH DE Number: 1562941
zbMATH Keywords: quadratic groups
zbMATH Keywords: conservative methods
zbMATH Keywords: numerical examples
zbMATH Keywords: matrix differential systems
zbMATH Keywords: Stiefel manifold
zbMATH Keywords: Lorentz group
zbMATH Keywords: Penrose regression problem
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: Hamiltonian isospectral problems
author: Luciano Lopez
author: Tiziano Politi
MaRDI profile type: Publication
cites work: Runge-Kutta methods for orthogonal and isospectral flows
cites work: Numerical solution of isospectral flows
cites work: Isospectral Flows and Abstract Matrix Factorizations
cites work: Numerical integration of ordinary differential equations on manifolds
cites work: On real logarithms of nearby matrices and structured matrix interpolation
cites work: Unitary Integrators and Applications to Continuous Orthonormalization Techniques
cites work: Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
cites work: The Cayley transform in the numerical solution of unitary differential systems
cites work: One step semi-explicit methods based on the Cayley transform for solving isospectral flows
cites work: Q3359644
cites work: Runge-Kutta type methods for orthogonal integration
cites work: On the implementation of the method of Magnus series for linear differential equations
cites work: On the solution of linear differential equations in Lie groups
cites work: Orthosymplectic integration of linear Hamiltonian systems
cites work: Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
cites work: Numerical procedures based on Runge-Kutta methods for solving isospectral flows
cites work: Q5812929
cites work: Runge-Kutta methods on Lie groups
cites work: Runge-Kutta methods adapted to manifolds and based on rigid frames
cites work: Solving ODEs numerically while preserving a first integral
cites work: Q4315882
cites work: Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
cites work: Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
full work available at URL: s0168-9274(99)00049-5
OpenAlex ID: W2081625284
description: scientific article; zbMATH DE number 1562941