A-stable and Stiffly-stable Formulas in Generalized Linear Multistep Methods for Ordinary Differential Equations(Algorithm Theory)

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概要

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• In this paper, generalized linear multistep methods for ODEs whose predictor of off-grid point is an implicit formula are proposed and stability properties are investigated for the methods. Then, it is proved that there exists a family of A-stable methods of order 3 and, furthermore, there exists a unique A-stable one-step method of order 4. Also, it is numerically shown that there exist two families of stiffly stable methods, with orders 5 and 7, respectively.

• 一般社団法人情報処理学会の論文
• 2004-01-15

著者

• Suzuki Chisato

  Department Of Computer Science Shizuoka Institute Of Science And Technology

• MITSUDA KEN-ICHIRO

  Research Institute of Sytem Planing Inc.

• Mitsuda Ken-ichiro

  Research Institute Of Sytem Planing Inc.:(present Address) Graduate School Of Information Science Na

関連論文

• A-stable and Stiffly-stable Formulas in Generalized Linear Multistep Methods for Ordinary Differential Equations(Algorithm Theory)
• Numerical Approximations of Riemann-Integrable Solutions to Hammerstein's Equations

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