Kolmogorov-Spieqel-Siveshinky方程大时间问题的Fourier拟谱逼近

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	Kolmogorov-Spieqel-Siveshinky方程大时间问题的Fourier拟谱逼近
	梁宗旗
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxwx200805016&dbcode=CJFQ&dbname=CJFQ2008
	2012-06-05 ; 2012-06-05
关键词	Kolmogorov-Spieqel-Siveshinky方程半离散拟谱方法全离散拟谱方法收敛性 Kolmogorov-Spieqel-Siveshinky equation Semi-discrete Fourier pseudo-spectral method Full-discrete Fourier pseudo-spectral method Convergence O241.82
其他题名	The Fourier Pseudo-spectral Approximation of the Large-time Problem of Kolmogorov-Spieqel-Siveshinky Equation
中文摘要	该文讨论了Kolmogorov-Spieqel-Siveshinky方程的周期初值问题,研究了半离散Fourier拟谱解的长时间行为,证明了半离散系统的收敛性和整体吸引子的存在性.构造了全离散的三层显式Fourier拟谱格式,并证明了该格式的收敛性,最后通过数值计算验证了格式的可信性.数值结果表明:该格式是长时间稳定并可取时间大步长.作者模拟了方程的解在相空间的轨线,得到了一些有意义的结论.; The paper is concerned with the Kolmogorov-Spieqel-Siveshinky equation with periodic initial value problems.The long-time behavior of the solutions for semi-discrete Fourier pseudo-spectral scheme is studied.The convergence and the existence of the global attractors for the discrete system is proposed.The full-discrete Fourier pseudo-spectral explicit scheme and its convergence is discussed.Finally,the credibility of the scheme is examined by numerical examples to show that the scheme is stable for a long time and the step-length is long.The orbits in the phase space of the solution are presented.; 【作者单位】集美大学理学院；【作者英文名】Liang Zongqi (School of Sciences,Jimei University,Xiamen 361021)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/15877]
专题	集美大学
推荐引用方式 GB/T 7714	梁宗旗. Kolmogorov-Spieqel-Siveshinky方程大时间问题的Fourier拟谱逼近[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxwx200805016&dbcode=CJFQ&dbname=CJFQ2008,2012, 2012.
APA	梁宗旗.(2012).Kolmogorov-Spieqel-Siveshinky方程大时间问题的Fourier拟谱逼近.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxwx200805016&dbcode=CJFQ&dbname=CJFQ2008.
MLA	梁宗旗."Kolmogorov-Spieqel-Siveshinky方程大时间问题的Fourier拟谱逼近".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxwx200805016&dbcode=CJFQ&dbname=CJFQ2008 (2012).