One-stage exponential integrators for nonlinear Schrodinger equations over long times

被引：37

作者：

Cohen, David ^{[1
]}

Gauckler, Ludwig ^{[2
]}

机构：

[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

BIT NUMERICAL MATHEMATICS | 2012年 / 52卷 / 04期

关键词：

Nonlinear Schrodinger equation; Exponential integrators; Long-time behavior; Near-conservation of actions; energy; mass and momentum; Modulated Fourier expansion; DIFFERENTIAL-EQUATIONS; WAVE-EQUATIONS; NORMAL-FORM; SCHEMES; SYSTEMS; ENERGY;

D O I：

10.1007/s10543-012-0385-1

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：877 / 903

页数：27

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