Unitary integrators and applications to continuous orthonormalization techniques
SIAM Journal on Numerical Analysis
Runge-Kutta methods for orthogonal and isospectral flows
Applied Numerical Mathematics - Special issue celebrating the centenary of Runge-Kutta methods
The Geometry of Algorithms with Orthogonality Constraints
SIAM Journal on Matrix Analysis and Applications
Hi-index | 0.00 |
In the last years several numerical methods have been developed to integrate matrix differential equations which preserve certain features of the theoretical solution such as orthogonality, eigenvalues, first integrals, etc. In this paper we approach the numerical solution of a second order matrix differential system whose solution evolves on the Lie- group of the orthogonal matrices On. We study the orthogonality properties of classical Runge Kutta Nystr枚m methods and non standard numerical procedures for second order ordinary differential equations.