Art

J-GLOBAL ID：201102216785122120   Reference number：11A1766218

On the Structural Stability of Discretized Burgers’ equation with Randomness

ランダムさを持つ離散化Burgers方程式の構造的安定性について

Author (1)： HATAUE Itaru (Kanazawa Univ., Kanazawa, JPN)
Material： Information (Koganei)
Volume： 14  Issue： 8  Page： 2585-2598  Publication year： Aug. 2011 
JST Material Number： L7416A  ISSN： 1343-4500  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *Burgers equation ,  stability ,  *discrete system ,  dynamic system ,  *calculus of finite difference ,  mathematical transformation ,  asymptotic behavior ,  mathematical property ,  digitization
Semi thesaurus term： 構造的安定性 ,  randomness

JST classification (2)： Numerical computation  (JE02000J) ,  System models  (IB02000Z)

Reference (9)：

• [1] M. Yamaguchi and S. Ushiki, Chaos in numerical analysis of ordinary differential equations., Physica C, 3 (1981), 618-626.
• [2] H. C. Yee, P. K. Sweby and D. F. Griffiths, Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implica-tions for algorithm development in computational fluid dynamics, J. Comput. Phys., 97(1991), 249-310.
• [3] D. F. Griffiths, P. K. Sweby and H. C. Yee., On spurious asymptotic numerical solutions of explicit Runge-Kutta methods, IMA J. Numer. Anal., 12, (1992), 263-290.
• [4] I. Hataue, Spurious numerical solutions in higher dimensional discrete systems, AIAA J.,33 (1995), 163-164.
• [5] I. Hataue, On Analogy and Dissimilarity of Dependence of Stability on Several Parameters in Flow Simulations, J. of Comp. and Appi. Math., 159-1, (2003), 45-53.

Terms in the title (3)： 離散化 ,  Burgers方程式 ,  安定性