期刊
BIT NUMERICAL MATHEMATICS
卷 52, 期 4, 页码 877-903出版社
SPRINGER
DOI: 10.1007/s10543-012-0385-1
关键词
Nonlinear Schrodinger equation; Exponential integrators; Long-time behavior; Near-conservation of actions, energy, mass and momentum; Modulated Fourier expansion
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 Schrodinger 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.
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