| A parallel method for numerical solution of delay differential equations |
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| 作者姓名： | DING Xiao-hua |
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| 作者单位： | Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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| 基金项目： | 中国科学院资助项目，19871019， |
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| 摘 要： | 0 ＩＮＴＲＯＤＵＣＴＩＯＮＴｈｉｓｐａｐｅｒｄｅａｌｓｗｉｔｈｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｄｅｌａｙｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ (ＤＤＥｓ) :ｙ′(ｔ) =ｆ(ｙ(ｔ) ,ｙ(ｔ-τ) ) ｔ≥ｔ0ｙ(ｔ) =φ(ｔ) ｔ≤ｔ0( 1) Ｗｅａｓｓｕｍｅｔｈａｔ ( 1)ｉｓａｓｃａｌａｒｅｑｕａｔｉｏｎ ,ｔｈｉｓｈａｓａｎａｄｖａｎｔａｇｅｔｈａｔｗｅｃａｎａｖｏｉｄｔｅｎｓｏｒｐｒｏｄｕｃｔｓｉｎｏｕｒｆｏｒｍｕ ｌａｔｉｏｎ .ｆ ,φｄｅｎｏｔｅｇｉｖｅｎｆｕｎｃｔｉｏｎｓａｎｄ…
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| 关 键 词： | diagonally implicit RK methods parallel method corrector |
A parallel method for numerical solution of delay differential equations |
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| DING Xiao-hua.A parallel method for numerical solution of delay differential equations[J].Journal of Harbin Institute of Technology,2000,7(3):37-39. |
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| Authors: | DING Xiao-hua LIU Ming-zhu |
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| Abstract: | A parallel diagonally-iterated Runge-Kutta (PDIRK) method is constructed to solve stiff initial value problems for delay differential equations. The order and stability of this PDIRK method has been analyzed, and the iteration parameters of the method are tuned in such a way that fast convergence to the value of corrector is achieved. |
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| Keywords: | diagonally implicit RK methods parallel method corrector |
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