Explicit Lie-Poisson integration and the Euler equations
Journal Article
·
· Physical Review Letters; (United States)
- Program in Applied Mathematics, Campus Box 526, University of Colorado at Boulder, Boulder, Colorado 80309 (United States)
We give a wide class of Lie-Poisson systems for which explicit, Lie-Poisson integrators, preserving all Casimirs, can be constructed. The integrators are extremely simple and have widespread applicability. Examples are the free rigid body, a moment truncation, and a new, fast algorithm for the sine-bracket truncation of the 2D Euler equations.
- OSTI ID:
- 5541142
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:19; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ALGORITHMS
CASIMIR EFFECT
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY GROUPS
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ALGORITHMS
CASIMIR EFFECT
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY GROUPS