| 基于直接数值积分的Laplace逆变换方法的比较研究 |
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| 引用本文： | 冯志刚,周建平.基于直接数值积分的Laplace逆变换方法的比较研究[J].应用数学与计算数学学报,1997,11(1):33-40. |
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| 作者姓名： | 冯志刚 周建平 |
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| 作者单位： | 国防科技大学航天技术系，国防科技大学航天技术系 长沙 410073，长沙 410073 |
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| 摘 要： | 为了探讨各种数值积分方法,如梯形公式、Simpson法、Gauss积分方法和振荡函数积分方法等,在数值Laplace逆变换中的应用效果,本文进行了基于各种离散数值积分公式的Laplace逆变换方法的比较研究,涉及到24种方法,针对Davies和Martin的16个考题,给出了数值比较结果,得出了一些新的结论。
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| 关 键 词： | Laplace逆变换 梯形公式 Simpson方法 Ganss积分 振荡函数 |
The Comparison of 24 Numerical Inversion Methods of Laplace Transform Relating to Direct Numerical Integral |
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| Feng Zhigang Zhou JianqingDepartmetn of Astronauties,National University of Defense Technology .Changsha.The Comparison of 24 Numerical Inversion Methods of Laplace Transform Relating to Direct Numerical Integral[J].Communication on Applied Mathematics and Computation,1997,11(1):33-40. |
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| Authors: | Feng Zhigang Zhou JianqingDepartmetn of Astronauties National University of Defense Technology Changsha |
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| Institution: | Feng Zhigang Zhou JianqingDepartmetn of Astronauties,National University of Defense Technology .Changsha,410078 |
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| Abstract: | 24 methods based on direct numerical integral used in numerical inversion oi Laplace transform are presented in this paper. By the using of Newton-Cotes integral method. Gauss integral method and Oscillation function'method, the numerical inversion of Lapalce transform can be efficiently achieved. 10 test problems given by Davies and Martin have been computed in the paper.and the comparison of results gives some- new suggestion. |
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| Keywords: | inversion of Laplace transform traprzoidal uirthoil Sinpson method Gauss integral oscillation function |
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