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Linear energy-prese...
Linear energy-preserving integrators for Poisson systems
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- Cohen, David (författare)
- Mathematisches Institut, Universität Basel,Universität Basel,University of Basel
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- Hairer, Ernst (författare)
- Section de Mathématiques, Université de Genève,Université de Genève,University of Geneva
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(creator_code:org_t)
- 2011-01-20
- 2011
- Engelska.
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Ingår i: BIT Numerical Mathematics. - : Springer Science and Business Media LLC. - 0006-3835 .- 1572-9125. ; 51:1, s. 91-101
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Abstract
Ämnesord
Stäng
- For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is proposed. The methods exactly preserve energy, are invariant with respect to linear transformations, and have arbitrarily high order. Those of optimal order also preserve quadratic Casimir functions. The discussion of the order is based on an interpretation as partitioned Runge-Kutta method with infinitely many stages.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Poisson system
- Energy preservation
- Casimir function
- Partitioned Runge-Kutta method
- Collocation
- Gaussian quadrature
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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