A Note on the Numerical Solution of the Heavy Top Equations (2000)
. In [Multibody System Dynamics 2, 71-88], we described the MuntheKaas and Crouch{Grossman methods for integrating ordinary dierential equations numerically on Lie groups. We used the heavy top as a...
On the implementation of the method of Magnus series for linear differential equations (1999)
England Cb Ew, A. Iserles, A. Marthinsen, S. P. Nrsett
The method of Magnus series has recently been analysed by Iserles & Nrsett (1997). It approximates the solution of linear differential equations y 0 = a(t)y in the form y(t) = e oe(t) , solving a...
Integration Methods Based on Canonical Coordinates of the Second Kind (1999)
We present a new class of integration methods for differential equations on manifolds, in the framework of Lie group actions. Canonical coordinates of the second kind is used for representing the Lie...
Norges Teknisk-Naturvitenskapelige (1999)
Z. Jackiewicz, A. Marthinsen, B. Owren
An approach is described to the numerical solution of order conditions for RungeKutta methods whose solutions evolve on a given manifold. This approach is based on least squares minimization using...
Construction of Runge-Kutta methods of Crouch-Grossman type of high order (1999)
Z. Jackiewicz, A. Marthinsen, B. Owren
An approach is described to the numerical solution of order conditions for Runge-Kutta methods whose solutions evolve on a given manifold. This approach is based on least squares minimization using...
Integration Methods Based on Canonical Coordinates of the Second Kind (1999)
We present a new class of integration methods for differential equations on manifolds, in the framework of Lie group actions. Canonical coordinates of the second kind is used for representing the Lie...
Norges Teknisk-Naturvitenskapelige Universitet (1999)
Z. Jackiewicz, A. Marthinsen, B. Owren
. An approach is described to the numerical solution of order conditions for RungeKutta methods whose solutions evolve on a given manifold. This approach is based on least squares minimization using...
Norges Teknisk-Naturvitenskapelige Universitet (1999)
We present a new class of integration methods for differential equations on manifolds, in the framework of Lie group actions. Canonical coordinates of the second kind is used for representing the Lie...
Modeling and Solution of some Mechanical Problems on Lie Groups (1999)
We apply Munthe-Kaas and Crouch-Grossman methods in the solution of some mechanical problems. These methods are quite new, and they exploit intrinsic properties of the manifolds defined by the...
On the implementation of the method of Magnus series for linear dierential equations (1999)
A. Iserles, A. Marthinsen, S. P. Nrsett
The method of Magnus series has recently been analysed by Iserles & Nørsett #1997#. It approximates the solution of linear differential equations y 0 = a#t#y in the form y#t#=e ##t# , solving...
Modeling and Solution of some Mechanical Problems on Lie Groups (1999)
We apply Munthe-Kaas and Crouch-Grossman methods in the solution of some mechanical problems. These methods are quite new, and they exploit intrinsic properties of the manifolds de#ned by the...
Modeling and Solution of some Mechanical Problems on Lie Groups (1998)
. We apply Munthe-Kaas and Crouch-Grossman methods in the solution of some mechanical problems. These methods are quite new, and they exploit intrinsic properties of the manifolds defined by the...
On the implementation of the method of Magnus series for linear differential equations (1998)
England Cb Ew, A. Iserles, A. Marthinsen, S. P. Nørsett
The method of Magnus series has recently been analysed by Iserles & Nørsett (1997). It approximates the solution of linear differential equations y 0 = a(t)y in the form y(t) = e oe(t) , solving a...
On the implementation of the method of Magnus series for linear differential equations (1998)
A. Iserles, A. Marthinsen, S. P. Nrsett
The method of Magnus series has recently been analysed by Iserles & Nrsett (1997). It approximates the solution of linear differential equations y 0 = a(t)y in the form y(t) = e oe(t) , solving a...
Reproducibility of bone mineral density measurement in daily practice
Lodder, M, Lems, W, Ader, H, Marthinsen, A, Van Coeverden, S C C M, Lips, P, ...
Background: Bone mineral density (BMD) measurements are frequently performed repeatedly for each patient. Subsequent BMD measurements allow reproducibility to be assessed.