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» On the Hopf Algebraic Structure of Lie Group Integrators
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FOCM
2002
108views more  FOCM 2002»
13 years 3 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
IJAC
2002
128views more  IJAC 2002»
13 years 3 months ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 3 months ago
Automatic Structures: Richness and Limitations
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a...
Bakhadyr Khoussainov, André Nies, Sasha Rub...
CDC
2009
IEEE
176views Control Systems» more  CDC 2009»
13 years 8 months ago
Dynamics of a 3D elastic string pendulum
— This paper presents an analytical model and a geometric numerical integrator for a rigid body connected to an elastic string, acting under a gravitational potential. Since the ...
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
ACS
2005
13 years 3 months ago
Measurable Categories
A `2-group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representa...
D. Yetter