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Numerical methods in mechanics

 

作者: Robert W. Stanley,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 6  

页码: 499-507

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13894

 

出版商: American Association of Physics Teachers

 

关键词: numerical solution;equations of motion;classical mechanics;algorithms;harmonic oscillators;anharmonic oscillators;computer calculations

 

数据来源: AIP

 

摘要:

Elementary numerical methods of integrating an equation of motion are systematically compared, both theoretically and experimentally. It is shown that the half‐step approximation and the closely related second‐order Taylor approximation are far superior to the other elementary methods, in particular, the various Euler approximations. The idea of a variable stepping interval is discussed and is shown to be highly advantageous when used with the second Taylor approximation.

 

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