| 引用本文: | 陈武凡.一阶与二阶常微分方程系统的隐式和半隐式解法.[J].国防科技大学学报,1987,(1):10-18.[点击复制] |
| Chen Wufan.Implicit and Semi-Implicit Methods Applied to First and Second-Order Systems[J].Journal of National University of Defense Technology,1987,(1):10-18[点击复制] |
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| 一阶与二阶常微分方程系统的隐式和半隐式解法 |
| 陈武凡 |
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| 摘要: |
| 本文对于非定常问题在经Galerkin半离散化所得到的一阶及二阶常微分方程系统分别提出了具有二级精度的隐式和半隐式求解方案，并从数学上严格证明了这两个数值方案均是无条件稳定的；另对于正定对称矩阵，通过应用近似求逆法大大地减少了计算工作量；最后提供了两个简单算例，证明本方法是行之有效的。 |
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| 投稿日期：1986-05-06 |
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| Implicit and Semi-Implicit Methods Applied to First and Second-Order Systems |
| Chen Wufan |
| Abstract: |
| An implicit method and a semi-implicit method applied to first and second-order systems are proposed in this paper. Being 2-Order pricise，these methods have been rigorously jutisfied to be unconditional stable in energy norm. In the struction of formula the coefficeint matrices remain positive definite and symmetry; so the operation of their inverse matrices have been simplified in an approximate procedure. |
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