摘要
应用最小标准误差原理,解决了Laplace反演变换中各控制参量(λ·N·T)的选定。以Durbin和Koizumi的反演方法为例,列举了几个典型函数(包括地震冲击波模型函数)的计算实例,分析了各参数对反演精度和稳定性的影响。用本方法优选的参量,可使Laplace反演变换具有很高的精度和稳定性。
The least criterion error principle on the numerical inversion of Laplace transform is presented in this paper. The reasonable selection of relative controlling parameters(λ, N, T, etc.) on inversion transform may be solved theoretically. The several typical examples (including the model function of shock seimic wave) with Durbin's and Koizumi's numerical inversion method have been analysed. It is confirmed that this method has high accuracy and practical value for further application of Laplace integral transform.
出处
《天津大学学报》
EI
CAS
CSCD
1991年第S1期92-98,共7页
Journal of Tianjin University(Science and Technology)
基金
水电部科学基金
