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One-stage exponenti...
One-stage exponential integrators for nonlinear Schrödinger equations over long times
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- Cohen, David (författare)
- Mathematisches Institut, Universität Basel,Universität Basel,University of Basel
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- Gauckler, Ludwig (författare)
- Institut für Mathematik, TU Berlin,Technische Universität Berlin
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(creator_code:org_t)
- 2012-05-09
- 2012
- Engelska.
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Ingår i: BIT Numerical Mathematics. - : Springer. - 0006-3835 .- 1572-9125. ; 52:4, s. 877-903
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Near-conservation over long times of the actions, of the energy, of the mass and of the momentum along the numerical solution of the cubic Schrödinger equation with small initial data is shown. Spectral discretization in space and one-stage exponential integrators in time are used. The proofs use modulated Fourier expansions.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Nonlinear Schrödinger equation
- Exponential integrators
- Long-time behaviour
- Near-conservation of actions
- energy
- mass and momentum
- Modulated Fourier expansion
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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