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书名 作者 ISBN
 

 读书世界首页 > 天文学、地球科学 > 地球物理学
INGEOPHYSICS
作  者:郭俊义
出 版 社: 出版年份:2001 年
ISBN:7810307983 页数:124 页
支持介质:
图书介绍:Several geophysical problems could be reduced to ordinary differential equa-tions depending on geocentric distance r.
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图书封面及目录

1.7.1 Chebyshev collocation method: Principle 7页
2.7.1.1 General orthogonal polynomials 7页
2.8.1.2 Gauss-type integral formulas 8页
2.9.1 3 Collocation approximation of functions 9页
2.10.1.4 Chebyshev polynomials 10页
2.12.1.5 Differentiation formula 12页
2.15.1.6 Integration formula 15页
2.16.1 7 Linear differential equations without singularity 16页
2.18.1.8 Linear differential equations with singularity 18页
2.20.1.9 Combination of differential and algebraic equations 20页
1.22.2 Chebyshev collocation method: Programming 22页
2.22.2.1 Introduction 22页
2.23.2.2 Basic utility programs 23页
3.23.2.2.1 parameters.h 23页
3.23.2.2.2 dat at ype.h 23页
3.24.2.2 3 nrut i 1.h and nrutil,cpp 24页
3.26.2.2.4 nrinterp.cpp 26页
3.27.2.2.5 nrludcmp.cpp 27页
3.28.2.2.6 nrgaus s j.cpp 28页
3.28.2.2.7 nrbisec.cpp 28页
3.29.2.2.8 nr.h 29页
2.29.2 3 Utility programs for Chebyshev collocation method 29页
3.29.2.3.1 Computation of collocation coordinates for t E [a, b] and,:E(一1,1) 29页
3.30.2 3 2 Transformation between physical and spectral spaces 30页
3.31.2.3.3 Computation of x corresponding to known values of t 31页
3.31.2.3.4 Computation of function from its Cliebyshev polynomial series co- efficients for arbitrary values of variable 31页
3.32.2.3.5 TRansformation of Chebyshev polynomial series to polynomial of x 32页
3.32.2.3.6 Ransformation of polynomial of x to polynoinial of t 32页
3.33.2.3.7 Computation of differential 33页
3.33.2 3.8 Computation of integrals 33页
2.33.2.4 Solution of differential equations 33页
3.34.2.4.1 Inversion by block of the matrix of the algebraic equations deduced from collocation method 34页
3.35.2.4.2 Solution of linear equations 35页
3.36.2.4.3 Solution of ordinary differential equations using Chebyshev-Gauss- Lobbato integration points 36页
3.49.2.4.4 Solution of ordinary differential equations using Chebyshev-Gauss- Radau integration points 49页
1.62.3 Applications in geophysics 62页
2.62.3 1 Introduction 62页
2.66.3.2 Input of Earth model parameters 66页
2.76.3.3 Computation of an Earth model in 3 kilometers interval 76页
2.80.3.4 Preparation for use in Chebyshev collocation method 80页
2.82.3.5 Computation of some internal parameters determined by density 82页
3.83.3.5.1 Mean density inside any co-central sphere 83页
3.98.3.5.2 Mass inside any co-central sphere. 98页
3.99.3.5.3 Gravity inside the Earth 99页
3.100.3.5.4 Pressure inside the Earth 100页
3.102.3.5.5 Mean moment of inertia of the mass inside any internal str atom of the Earth: I= (A+ 13+ C) 102页
3.103.3.5.6 Difference of mean density and density 103页
3.104.3.5.7 Earth's internal flattening 104页
3.106.3.5.8 Di跳rence of moments of inertia of the mass inside any internal stratum of the Earth: C- A 106页
2.108.3 6 Earth Tides: Computation of Love numbers for the SNREI Earth 108页
3.108.3.6.1 Principle for computing Love numbers of static response 108页
3.112.3.6.2 Principle for computing Love numbers of dynamic response 112页
3.114.3 6.3 Programming 114页
2.117.3 7 Flee Oscillation of the SNREI Earth 117页
3.117.3.7.1 Toroidal free oscillations 117页
3.120.3.7.2 Spheroidal free oscillations 120页
1.122.A Derivation of the formula (1.56) 122页
1.124.Bibliography 124页
   
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