Runge-Kutta Type Methods Based on Geodesics for Systems of ODEs on the Stiefel Manifold
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[1] Luca Dieci,et al. Computation of orthonormal factors for fundamental solution matrices , 1999, Numerische Mathematik.
[2] R. Russell,et al. Unitary integrators and applications to continuous orthonormalization techniques , 1994 .
[3] J. Butcher. The Numerical Analysis of Ordinary Di erential Equa-tions , 1986 .
[4] L. Lopez,et al. Applications of the Cayley approach in the numerical solution of matrix differential systems of quadratic groups , 2001 .
[5] H. Munthe-Kaas. Runge-Kutta methods on Lie groups , 1998 .
[6] B. O'neill. Elementary Differential Geometry , 1966 .
[7] Arne Marthinsen,et al. Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications , 1997 .
[8] A. Iserles,et al. Lie-group methods , 2000, Acta Numerica.
[9] Alan Edelman,et al. The Geometry of Algorithms with Orthogonality Constraints , 1998, SIAM J. Matrix Anal. Appl..
[10] Luciano Lopez,et al. The Cayley transform in the numerical solution of unitary differential systems , 1998, Adv. Comput. Math..
[11] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[12] Antonella Zanna,et al. Numerical solution of isospectral flows , 1997, Math. Comput..
[13] Arne Marthinsen,et al. Runge-Kutta Methods Adapted to Manifolds and Based on Rigid Frames , 1999 .