摘要
针对力学中运动方程的数值计算 ,提出了一种类似欧拉法的新算法 ,其主要特点是没有算法衰减 ,与显式及隐式欧拉法相比具有较高的计算精度 ,且与显式欧拉法有相同的计算工作量 .在对其算法稳定性进行讨论的基础上 ,以对单自由度质量弹簧振动模型的仿真计算为例 ,通过比较该算法与显式、隐式欧拉法及四阶龙格库塔法 。
A new numerical method, being similar to Euler method, is introduced for the numerical solution to motion′s equations. This method has no numerical decay. It shows higher computation precision in comparison with explicit and implicit Euler method as well as the same computation consumption with the explicit Euler method. The conditions for numerical stability is deduced. The vibration of mass spring system with one freedom is used as an example of simulation. The analysis of the main characteristics in this numerical method is made.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第5期65-67,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目 (5 0 10 5 0 0 4 )
关键词
运动方程
数值计算
混合欧拉法
力学
motion equations
numerical method
mixed Euler method
