On Numerical Energy Conservation by the Split-step Fourier Method for the Nonlinear Schrodinger Equation

被引：1
|
作者：
Gauckler, Ludwig [1 ]
机构：
[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015) | 2016年 / 1738卷
关键词：
Nonlinear Schrodinger equation; split-step Fourier method; long time intervals; conservation of energy;
D O I：
10.1063/1.4951748
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The near-conservation of energy on long time intervals in numerical discretizations of Hamiltonian partial differential equations is discussed using the cubic nonlinear Schrodinger equation and its discretization by the split-step Fourier method as a model problem.
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页数：4
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