Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrodinger Equation

Lv Zhong-Quan; Gong Yue-Zheng; Wang Yu-Shun

首页> 外文期刊>Mathematical Problems in Engineering >Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrodinger Equation

【24h】

Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrodinger Equation

机译：非线性Schrodinger方程能量守恒算法的收敛性分析。

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Using average vector field method in time and Fourier pseudospectral method in space, we obtain an energy-preserving scheme for the nonlinear Schrodinger equation. We prove that the proposed method conserves the discrete global energy exactly. A deduction argument is used to prove that the numerical solution is convergent to the exact solution in discrete L-2 norm. Some numerical results are reported to illustrate the efficiency of the numerical scheme in preserving the energy conservation law.

机译：利用时间上的平均矢量场方法和空间上的傅立叶拟谱方法，我们为非线性薛定inger方程建立了一个能量守恒方案。我们证明了所提出的方法精确地保留了离散的全局能量。用推论证明了数值解收敛于离散L-2范数的精确解。据报道一些数值结果说明了该数值方案在保持能量守恒定律方面的效率。

著录项

来源
《Mathematical Problems in Engineering》 |2015年第5期|758954.1-758954.11|共11页
作者
Lv Zhong-Quan; Gong Yue-Zheng; Wang Yu-Shun;
展开▼
作者单位

Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210097, Jiangsu, Peoples R China.;

Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210097, Jiangsu, Peoples R China.;

Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210097, Jiangsu, Peoples R China.;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrödinger Equation [J] . LvZhong-Quan, GongYue-Zheng, WangYu-Shun Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第1期

机译：非线性Schrödinger方程能量守恒算法的收敛性分析。
2. Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrodinger equations [J] . Applied mathematics and computation . 2020,第期

机译：应用于非线性Schrodinger方程的保守超趋势和杂化不连续的Galerkin方法
3. An energy conservative difference scheme for the nonlinear fractional Schrodinger equations [J] . Wang Pengde, Huang Chengming Journal of Computational Physics . 2015,第Null期

机译：非线性分数阶薛定inger方程的能量守恒差分格式
4. An Energy Conservative Numerical Scheme on Mixed Meshes for the Nonlinear Schrodinger Equation [C] . Takaharu Yaguchi, Takayasu Matsuo, Masaaki Sugihara International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：非线性薛定林方程混合网格的节能数值方案
5. Non-Conservative Variational Approximation for Nonlinear Schrodinger Equations and its Applications. [D] . Rossi, Julia M. 2016

机译：非线性Schrodinger方程的非保守变分逼近及其应用。
6. Quadratically convergent algorithm for computing real root of non-linear transcendental equations [O] . Srinivasarao Thota, Vivek Kumar Srivastav 2018

机译：二次收敛算法用于计算非线性超越方程的实根
7. Stability of Standing Waves for Nonlinear Schrodinger Equations with Double Power Nonlinearity (Harmonic Analysis and Nonlinear Partial Differential Equations) [O] . 福泉麗佳 2004

机译：具有二次幂非线性的非线性Schrodinger方程（调和分析和非线性偏微分方程）的驻波稳定性。
8. Globally Convergent Homotopy Algorithms for Nonlinear Systems of Equations [R] . Watson, L. T. 1990

机译：非线性方程组的全局收敛同伦算法

Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrodinger Equation

摘要

著录项

相似文献

相关主题

期刊订阅