Modeling and Solution of Some Mechanical Problems on Lie Groups
暂无分享,去创建一个
[1] P. Hartman. Ordinary Differential Equations , 1965 .
[2] Kjell Gustafsson,et al. Control of Error and Convergence in ODE Solvers , 1992 .
[3] H. Munthe-Kaas. Lie-Butcher theory for Runge-Kutta methods , 1995 .
[4] H. Munthe-Kaas. Runge-Kutta methods on Lie groups , 1998 .
[5] B. Owren,et al. Alternative integration methods for problems in structural dynamics , 1995 .
[6] P. Crouch,et al. Numerical integration of ordinary differential equations on manifolds , 1993 .
[7] Numerical methods on (and off) manifolds , 1997 .
[8] H. Munthe-Kaas. High order Runge-Kutta methods on manifolds , 1999 .
[9] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[10] J. Butcher. The Numerical Analysis of Ordinary Di erential Equa-tions , 1986 .
[11] Arne Marthinsen,et al. Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications , 1997 .
[12] Integration Methods Based on Rigid Frames , 1999 .
[13] J. C. Simo,et al. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum , 1991 .
[14] B. Owren,et al. The Newton Iteration on Lie Groups , 2000 .
[15] Thomas J. R. Hughes,et al. Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .