Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min. On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J]. Applied Mathematics and Mechanics, 1999, 20(3): 256-262.
 Citation: Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min. On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J]. Applied Mathematics and Mechanics, 1999, 20(3): 256-262.

# On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

• Rev Recd Date: 1998-06-10
• Publish Date: 1999-03-15
• Based on the subdomain precise integration method, the arbitrary difference precise integration method (ADPIM) is presented to solve PDEs. While retaining all the merits of the former method, ADPIM further demonstrates advantages such as the abilities of better description of physical properties of inhomogeneous media and convenient treatment of various boundary conditions. The explicit integration schemes derived by ADPIM are proved unconditionally stable.
•  [1] Batge K J,Wilson E L.Numerical Methods in Finite Element Analysis[M].Engelwood Chiff,NJ:Prentice-Hall,1976 [2] Lapidus L,Pinder G F.Numerical Solution of Partial Differential Equations in Science and Engineering[M].John Wiley & Sons,1982 [3] 钟万勰,朱建平.对差分法时程积分的反思[J].应用数学和力学,1995,16(8):663～668 [4] 钟万勰.单点子域积分与差分[J].力学学报,1996,28(2):159～163 [5] 钟万勰.子域精细积分及偏微分方程的数值解[J].计算结构力学及其应用,1995,12(3):253～260 [6] 蔡志勤,钟万勰.子域精细积分的稳定性分析[J].水动力学研究与进展A辑,1995,10(6):588～593 [7] 李光耀,周汉斌.变厚度薄板弯曲问题的任意网格差分解法[J].应用数学和力学,1993,14(3):281～286

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142