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| Error analysis and accuracy design for the precise time-integration method |
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| DOI：10.7511/jslx20023060 |
| KeyWord:precise time-integration method,error analysis,accuracy estimation,accuracy design |
| Xiang Yu \ Huang Yuying \ Zen Gewei |
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| Abstract: |
| By means of error analysis of recursion process of precise integration, the authors discover the essential reason of obtaining the high precise numerical results of exponential matrix exp(A) in the precise time-integration method , which is that the relative error of numerical computation is not enlarged in a whole recurrent process. The accuracy of numerical results only depends on the computational accuracy of initial Taylor series and maximum modulus eigenvalue of matrix A. Meanwhile, a kind of particular method of accuracy estimating and accuracy designing is also proposed in the present paper. |
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