Art

J-GLOBAL ID：200902215426943172   Reference number：03A0070021

Two Stage Explicit Runge-Kutta Type Method Using Second and Third Derivatives.

2次および3次導関数を用いた2段階の明示的なRunge-Kutta型手法

Author (2)： YOSHIDA T (Univ. Electro-Communications) ,  ONO H (Univ. Electro-Communications)
Material： 情報処理学会論文誌  (IPSJ Journal)
Volume： 44  Issue： 1  Page： 82-87  Publication year： Jan. 15, 2003 
JST Material Number： Z0778A  ISSN： 0387-5806  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *ordinary differential equation ,...

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JST classification (1)： Numerical computation  (JE02000J)

Reference (17)：

• BUTCHER, J. C. The Numerical Analysis of Ordinary Differential Equations. 1987
• DORMAND, J. R. A family of embedded Runge-Kutta formulae. J. Computational and Applied Mathematics. 1980, 6, 1, 19-26
• HAIRER, E. Solving Ordinary Differential Equations I, Non-stiff Problems. 1993
• HULL, T. E. Comparing Numerical Methods for Ordinary Differential Equations. SIAM J. Numer. Anal. 1972, 9, 4, 603-637
• IRI, M. Simultaneous Computation of Functions, Partial Derivatives and Estimates of Pounding Errors - Complexity and Practicality. Jpn. J. Appl. Math. 1984, 1, 223-252

Terms in the title (3)： 導関数 ,  段階 ,  手法