| G-S变换的快速算法 |
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| 引用本文： | 罗延钟,昌彦君.G-S变换的快速算法[J].地球物理学报,2000,43(5):684-690. |
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| 作者姓名： | 罗延钟 昌彦君 |
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| 作者单位： | 中国地质大学,武汉430074 |
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| 基金项目： | 国家自然科学基金项目!(4 9674 2 2 8) |
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| 摘 要： | 在电磁场瞬变响应的数值计算中 ,常采用G S变换法作逆拉氏变换 .它是纯实数运算 ,而且只需对较少的拉氏变换变量s值作计算 （通常对每一采样时间选用 1 2个s值 ） ,因而是一种计算速度较快的算法 .但是 ,要对大量采样时间作计算 ,其计算量仍太大 .本文基于拉氏变换的延迟定理 ,建立了一种新的G S变换算法 .数值检验结果表明 ,新算法可成级次地减少对大量采样时间作G S变换的计算量 ,显著提高电磁场瞬变响应的计算速度 .
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| 关 键 词： | G-S变换 逆拉氏变换 拉氏变换延迟定理 |
| 收稿时间： | 1999-09-06 |
A Rapid Algorithm for G-S Transform |
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| LUO Yan-Zhong,CHANG Yan-Jun.A Rapid Algorithm for G-S Transform[J].Chinese Journal of Geophysics,2000,43(5):684-690. |
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| Authors: | LUO Yan-Zhong CHANG Yan-Jun |
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| Institution: | China University of Geosciences,Wuhan 430074,China |
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| Abstract: | In the numerical calculation of electromagnetic transient response,the G S transform method is used frequently for inverse Laplace transform.It is a pure real number operation and just needs calculations for a small number of values of Laplace transform variable s(12 values for one sample time). So it is a rather rapid algorithm.However,when we need to calculate many sample times,the computation quantity of this algorithm is still too large.In this paper,a new algorithm for G S transform is established based on the delay theorem of Laplace transform.The new algorithm may reduce computation quantity in orders and there for increase markedly the calculation speed of the transient electromagnetic response with dense samples. |
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| Keywords: | G S transform Inverse Laplace transform Delay theorem of Laplace transform |
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