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随机Ginzburg-Landau方程的数值模拟(英文)

Numerical Simulation of Stochastic Ginzburg-Landau Equation
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摘要 对随机Ginzburg-Landau方程进行数值研究,构造一个非线性差分格式和一个线性化差分格式.通过对确定性和随机Ginzburg-Landau方程的计算,表明所构造的格式具有较高的精度和较快的计算效率.对随机Ginzburg-Landau方程就噪声振幅的不同取值进行了数值模拟,并对由此引发的各种行为进行了描述. Stochastic Ginzburg-Landau equation is numerically studied.A nonlinear difference scheme and a linearized scheme which avoid iteration in implementation are constructed.Numerical solutions of both deterministic equation and stochastic equation show accuracy and efficiency of the difference schemes.Numerical experiments with different noise amplitudes are presented and different types of behaviors are described.
出处 《计算物理》 EI CSCD 北大核心 2010年第6期919-926,共8页 Chinese Journal of Computational Physics
基金 Supported by China Postdoctoral Science Foundation(Grant No.20100470254)
关键词 随机Ginzburg-Landau方程 有限差分法 白噪声 stochastic Ginzburg-Landau equation finite difference method white noise
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参考文献1

  • 1GUO BoLing~1 WANG GuoLian~(2+) Li DongLong~3 1 Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China,2 The Graduate School of China Academy of Engineering Physics,P.O.Box 2101,Beijing 100088,China,3 Department of Information and Computer Science,Guangxi University of Technology,Liuzhou 545006,China.The attractor of the stochastic generalized Ginzburg-Landau equation[J].Science China Mathematics,2008,51(5):955-964. 被引量:11

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共引文献10

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