国家自然科学基金(2008GQS0054)

作品数：4被引量：12H指数：2
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相关作者：王兰孔令华万隆曹莹马院萍更多>>
相关机构：江西师范大学南昌师范高等专科学校中国科学技术大学更多>>
相关期刊：《Advances in Applied Mathematics and Mechanics》《Communications in Computational Physics》《计算物理》更多>>
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带三次非线性项的四阶Schrdinger方程的分裂多辛算法(英文)被引量：9
《计算物理》2011年第5期730-736,共7页孔令华 曹莹 王兰 万隆 
National Natural Science Foundation of China(10901074);Provincial Natural Science Foundation of Jiangxi(2008GQS0054);Postgraduate Innovation Foundation of Jiangxi Normal University(YJS2010009)
对一类带三次非线性项的四阶Schrdinger方程提出分裂多辛格式。其基本思想是将多辛算法和分裂方法相结合,既具有多辛格式固有的保多辛几何结构的特性,又发挥了分裂方法在计算上灵活高效的特点。数值实验结果表明,分裂多辛格式比其它...
关键词：四阶NSL方程 多辛格式 分裂方法 
Klein-Gordon-Schrdinger方程的辛Fourier拟谱格式(英文)被引量：1
《计算物理》2011年第2期275-282,共8页王兰 马院萍 孔令华 段雅丽 
NSFC(No.10901074);Natural Science Foundation of Jiangxi Province(No.2008GQS0054);Foundation of Department of Education Jiangxi Province(No.GJJ09147);Young Growth Foundation of Jiangxi Normal University(No.3182);Innovation Foundation in 2010 for Graduate Students(No.YJS2010009);Natural Science Foundation of Anhui Province(No.090416227)
主要讨论Klein-Gordon-Schrdinger方程的Fourier拟谱辛格式,包括中点公式和Strmer/Verlet格式.首先构造一个哈密尔顿方程,针对此哈密尔顿方程,在空间方向用Fourier拟谱离散得到一个有限维的哈密尔顿系统,对此有限维系统在时间方向...
关键词：KGS方程 FOURIER拟谱方法 Stmer/Verlet方法 中点格式 辛积分 
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term被引量：3
《Communications in Computational Physics》2010年第3期613-630,共18页Jialin Hong Linghua Kong 
Jialin Hong is supported by the Director Innovation Foundation of ICMSEC and AMSS,the Foundation of CAS,the NNSFC(Nos.19971089,10371128 and 60771054);the Special Funds for Major State Basic Research Projects of China 2005CB321701;Linghua Kong is supported by the NSFC(No.10901074);the Provincial Natural Science Foundation of Jiangxi(No.2008GQS0054);the Foundation of Department of Education of Jiangxi Province(No.GJJ09147);the Young Growth Foundation of Jiangxi Normal University(No.2390);the Doctor Foundation of Jiangxi Normal University(No.2057);State Key Laboratory of Scientific and Engineering Computing,CAS.
The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplecticFourier spectral (MSFS) methods will be employed to solve the fourth-orderSchrodinger equations with trapped term. Using the idea of split-step numer...
关键词：Schrodinger equation with trapped term multi-symplectic scheme Fourier spectral method conservation law split-step method 
Symplectic Euler Method for Nonlinear High Order Schr¨odinger Equation with a Trapped Term被引量：1
《Advances in Applied Mathematics and Mechanics》2009年第5期699-710,共12页Fangfang Fu Linghua Kong Lan Wang 
supported by the Provincial Natural Science Foundation of Jiangxi(No.2008GQS0054);the Foundation of Department of Education Jiangxi province(No.GJJ09147);the Foundation of Jiangxi Normal University(Nos.2057 and 2390);State Key Laboratory of Scientific and Engineering Computing,CAS.This work is partially supported by the Provincial Natural Science Foundation of Anhui(No.090416227).
In this paper,we establish a family of symplectic integrators for a class of high order Schrodinger equations with trapped terms.First,we find its symplectic structure and reduce it to a finite dimensional Hamilton sy...
关键词：Symplectic Euler integrator high order Schrodinger equation stability trapped term 
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