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.

引用

页数：4

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