边坡变形分析与预报的模糊人工神经网络方法     

邓跃进  王葆元  张正禄 《武汉大学学报(信息科学版)》1998,(1)

边坡变形受地质、水文、气候、突发因素（如暴雨、地震）、人工活动（如开挖或防护）等各种因素的影响,这些因素与变形之间一般不是确定的定量关系。本文介绍了不同影响因素与位移量的模糊关系及位移量的模糊近似推论,在此基础上应用模糊人工神经网络进行位移量预报,并以一个边坡监测资料为例说明了具体的应用方法。  相似文献   

Asteroid Mean Elements: Higher Order and Iterative Theories     

Andrea Milani  Zoran Knežević 《Celestial Mechanics and Dynamical Astronomy》1998,71(1):55-78

Mean orbital elements are obtained from osculating ones by removing the short periodic perturbations. Large catalogues of asteroid mean elements need to be computed, as a first step in the computation of proper elements, used to study asteroid families. The algorithms for this purpose available so far are only accurate to first order in the masses of the perturbing planet; the mean elements have satisfactory accuracy for most of the asteroid belt, but degraded accuracy in the neighbourhoods of the main mean motion resonances, especially the 2:1. We investigate a number of algorithms capable of improving this approximation; they belong to the two classes of Breiter-type methods and iterative methods. The former are obtained by applying some higher order numerical integration scheme, such as Runge–Kutta, to the differential equation whose solution is a transformation removing the fast angular variables from the equations; they can be used to compute a full second order theory, however, only if the full second order determining function is explicitly computed, and this is computationally too cumbersome for a complicated problem such as the N-body. The latter are fixed point iterative schemes, with the first order theory as an iteration step, used to compute the inverse map from mean to osculating elements; formally the method is first order, but because they implement a fixed frequency perturbation theory, they are more accurate than conventional single iteration methods; a similar method is already in use in our computation of proper from mean elements. Many of these methods are tested on a sample of asteroid orbits taken from the Themis family, up to the edge of the 2:1 resonance, and the dispersion of the values of the computed mean semimajor axis over 100 000 years is used as quality control. The results of these tests indicate that the iterative methods are superior, in this specific application, to the Breiter methods, in accuracy and reliability. This is understood as the result of the cancellations occurring between second order perturbation terms: the incomplete second order theory, resulting from the use of a Breiter method with the first order determining function only, can be less accurate than complete, fixed frequency theories of the first order. We have therefore computed new catalogues of asteroid mean and proper elements, incorporating an iterative algorithm in both steps (osculating to mean and mean to proper elements). This new data set, significantly more reliable even in the previously degraded regions of Themis and Cybele, is in the public domain. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Keplerian expansions in terms of Henrard's practical variables     

Sławomir Breiter  Gilles Metris 《Celestial Mechanics and Dynamical Astronomy》1994,58(3):237-244

Formulae for the Keplerian expansions in terms of Henrard's practical variables are given. Two different methods were applied: one using the Bessel functions and one based on the Lie transforms. The former involves less series products, but the latter is more flexible and universal.  相似文献   

潜水一维非稳态运动的解析理论及应用   总被引：4，自引：0，他引：4       下载免费PDF全文

杨红坡  谢新宇  张继发  曾国熙 《水科学进展》2004,15(1):82-86

讨论了潜水一维非稳态运动Boussinesq方程的对称性,并采用Lie群变换,就某些边界条件求出了其解析解,以便与线性化近似理论作比较;在此基础上,分析了Boussinesq方程线性化所引起的误差问题,并得到了特定条件下严格的零误差线性化方法。最后,通过算例的分析对比,提出了在线性化时应该遵循的一些原则。  相似文献   

深层地震勘探的地震波传传播理论研究前景     

田春志  刘洪 《地球物理学进展》2002,17(4):564-574

深层地震勘探为地震波传播理论研究提出了新的挑战和机遇。深层地震勘探的主要难点是上覆层的影响甚大，使后续的处理有隔靴挠痒之感，必须应用波场延拓消除上覆层影响。深层波速的高速性和横向不均匀性决定了大角散射和弹性波处理方法的重要性。本文具体评述了深层地震勘探的主要方法对策，深入探讨了波场延拓的李群方法和弹性反演的某些问题，目的在于为深化深层地震提供新的研究手段和方法。  相似文献   

拓扑变换法在平面直角坐标近似变换中的应用     

陈群国  陈永立  赵根庄 《地理空间信息》2008,6(3):107-109

简要介绍了对平面直角坐标进行近似变换的几种方法,重点讨论了拓扑变换法对平面直角坐标进行近似变换的原理。并对其变换的精度情况进行了实践分析。提出了提高其变换精度的处理方法及在建立变换模型时应注意的问题。  相似文献   

快速近似主成分分析算法   总被引：2，自引：0，他引：2  

朱述龙 《遥感学报》1999,3(1):43-47

通过分析现有主成分分析算法的不足,研究了如何利用小波包算法实现快速近似主成分分析算法的问题,并对两种算法的复杂度进行了比较。实验结果表明：提出的快速近似主成分分析算法在精度和速度两个方面都具有明显的优势。  相似文献   

New approximate solution for time-fractional coupled KdV equations by generalised differential transform method     

刘金存  侯国林 《海洋学报(英文版)》2010,29(11)

In this paper, the generalised two-dimensional differential transform method (DTM) of solving the time-fractional coupled KdV equations is proposed. The fractional derivative is described in the Caputo sense. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. An illustrative example shows that the generalised two-dimensional DTM is effective for the coupled equations.  相似文献   

Adomian分解法在完全非线性S-G方程中的运用     

王玉春 《成都信息工程学院学报》2009,24(1)

为分析具有高非线性强度下的偏微分方程的初值问题,简化变量分离等方法带来的繁杂计算,研究了一类完全非线性Sine-Gordon方程以及它的近似方程(在|up|很小的情况下),经过适当的函数变换,运用改进的Ado-mian分解法解决了一些特殊情况下它们的初值问题,结合Talyor级数展开式,得到了一些精确解:扭结解(kink)、紧孤子解(compacton)、多重紧孤子解、compacton-kink解.另外运用线性化的方法结合不同形式的解得到它们一些更加丰富的新形式的精确解.  相似文献   

Relativistic effects in the motion of artificial satellites: The oblateness of the central body II     

Joachim Heimberger  Michael Soffel  Hanns Ruder 《Celestial Mechanics and Dynamical Astronomy》1989,47(2):205-217

The motion of artificial satellites in the gravitational field of an oblate body is discussed in the post — Newtonian framework using the technique of canonical Lie transformations. Two Lie transformations are used to derive explicit results for the longperiodic and secular perturbations for satellite orbits in the Einstein case.  相似文献