| 解刚性常微分方程组L-稳定的显式单步法
及数值试验 |
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| 引用本文： | 龙爱芳.解刚性常微分方程组L-稳定的显式单步法
及数值试验[J].中南民族大学学报(自然科学版),2001,20(1):58-61. |
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| 作者姓名： | 龙爱芳 |
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| 作者单位： | 中南民族学院计算机科学学院 |
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| 摘 要： | 给出了求解试验方程组y\+′=Λy，Λ=diag(λ
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| 关 键 词： | 刚性方程组 L-稳定 数值试验 |
| 文章编号： | 1005-3018(2001)01-0058-04 |
| 修稿时间： | 2000年8月28日 |
L-Stable Explicit One-Step
Method for Solving Stiff Ordinary Differential Equation and Its Numerical Experiments |
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| Long Aifang.L-Stable Explicit One-Step
Method for Solving Stiff Ordinary Differential Equation and Its Numerical Experiments[J].Journal of South-Central Univ for,2001,20(1):58-61. |
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| Authors: | Long Aifang |
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| Abstract: | For solving stiff systems a L-stable explicit one-step method is given ,it is completely accurate to text equations y′=Λy，Λ=diag(λ1,λ2,…，λm),Re(λi)＜0，i=1,2,…，m∈Z+.But it is not accurate enough to others, so we give another L-stable explicit one-step method of order 3.The numerical experiments shows that the method is effective for linear ,non-linear stiff systems. |
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| Keywords: | stiff systems L-stability numerical analysis |
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