書誌事項
- タイトル別名
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- Solving Ordinary Differential Equations by Taylor Series
- 理論 Taylor級数法による常微分方程式の解法
- リロン Taylor キュウスウホウ ニ ヨル ジョウ ビブン ホウテイシキ ノ カイホウ
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説明
The arithmetic operations and functions of Taylor series can be defined by C++ language. The functions which consist of arithmetic operations, pre-defined functions and conditional statements can be expanded in Taylor series. Using this, the solution of an ordinary differential equation can be expanded in Taylor series. The solution can be expanded up to arbitrary order, so the calculation formula of arbitrary order can be used instead of Runge-Kutta formula. Taylor series can be used for the evaluations of the errors and the optimal step size within given error allowance easily. In addition, we can transform Taylor series into Pade series, which give arbitrary order, high precision and A-stable formula for solving ordinary differential equation numerically.
収録刊行物
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- 日本応用数理学会論文誌
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日本応用数理学会論文誌 12 (1), 1-8, 2002
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390282680744549376
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- NII論文ID
- 110001878182
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- NII書誌ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL書誌ID
- 6105518
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
