浙江大学研究生学位课程《实用数值计算方法,1
实用数值计算方法胡上序 教 授陈亚秋 副教授浙江大学材料与化工学院
2000.5
浙江大学研究生学位课程《实用数值计算方法,2
目 录第一章 基本知识第二章 插值方法第三章 线性代数方程组的求解第四章 非线性代数方程和方程组的求解第五章 数值求积和数值求导第六章 常微分方程的数值求解方法第七章 偏微分方程的数值求解方法第八章 综合运用浙江大学研究生学位课程《实用数值计算方法,3
参考书目
Numerical Recipes
The Art of Scientific Computing
William H,Press
Brian P,Flannery
Saul A,Teukolsky
William T,Vetterling
Cambridge University Press
1986
浙江大学研究生学位课程《实用数值计算方法,4
Numerical Recipes --The Art of Scientific Computing
NR
Cambridge University Press 1986
William H,Press,Brian P,Flannery,Saul A,Teukolsky and
William T,Vetterling
1,Preliminaries 4
2,Solution of Linear Algebraic Equations 10
3,Interpolation and Extrapolation 13
4,Integration of Functions 13
5,Evaluation of Functions 9
6,Special Functions 30
浙江大学研究生学位课程《实用数值计算方法,5
7,Random Numbers 15
8,Sorting 11
9,Root Finding and Nonlinear Sets of Equations 13
10,Minimization or Maximization of Functions 16
11,Eigensystems 7
12,Fourier Transform Spectral Methods 13
13,Statistical Description of Data 21
14,Modeling of Data 12
15,Integration of Ordinary Differential Equations 8
16,Two Point Boundary Value Problems 8
17,Partial Differential Equations 2
18,References
205
浙江大学研究生学位课程《实用数值计算方法,6
International Mathematical & Statistical
Libraries IMSL
1,A Analysis of Variance 17
2,B Basic Statistics 33
3,C Categorized Data Analysis 9
4,D Differential Equations,Quadrature,& Differentiation 36
5,E Eigensystem Analysis 33
6,F Forecasting,Econometrics,Time Series,& Transforms 24
7,G Generation and Testing of Random Numbers 56
8,I Interpolation,Approximation and Smoothing 28
9,L Linear Algebraic Equations 45
浙江大学研究生学位课程《实用数值计算方法,7
10,M Mathematical and Statistical Special Functions 69
11,N Non-Parametric Statistics 26
12,O Observation Structure and Multivariate Statistics 18
13,R Regression Analysis 33
14,S Sampling 8
15,U Utility Functions 31
16,V Vector and Matrix Arithmetic 154
17,Z Zeros and Extrema,Linear Programming 55
675
浙江大学研究生学位课程《实用数值计算方法,8
Numerical Methods,Software,and Analysis
IMSL Reference Edition
John R.Rice
McGraw-Hill
1983
浙江大学研究生学位课程《实用数值计算方法,9
Numerical Methods,Software,and Analysis:
NMSA,IMSL Reference Edition
McGraw-Hill 1983
John R,Rice
1,Mathematics and Computer Science Background
2,Numerical Software
3,Errors,Round-off,and Stability
4,Models and Formulas for Numerical Computations
5,Interpolation
浙江大学研究生学位课程《实用数值计算方法,10
6,Matrices and Linear Equations
7,Differentiation and Integration
8,Nonlinear Equations
9,Ordinary Differential Equations
10,Partial Differential Equations
11,Approximation of Functions and Data
12,Software Practice,Costs,and Engineering
13,Software Performance Evaluation
14,The Validation of Numerical Computations
15,PROTRAN
16,Reference Material
浙江大学研究生学位课程《实用数值计算方法,11
Computer Methods
for
Mathematical Computations
George E,Forsythe
Michael A,Malcolm
Cleve B,Moler
Prentice-Hall
1977
浙江大学研究生学位课程《实用数值计算方法,12
Computer Methods for Mathematical
Computations,CMMC
Prentice-Hall 1977
George E,Forsythe
Michael A,Malcolm
Cleve B,Moler
1,Introduction
2,Floating-Point Computation
3,Linear Systems of Equations 2
浙江大学研究生学位课程《实用数值计算方法,13
4,Interpolation 2
5,Numerical Integration 1
6,Initial Value Problems in Ordinary Differential Equations 1
7,Solution of Nonlinear Equations 1
8,Optimization 1
9,Least Squares and the Singular Value Decomposition 1
10,Random Number Generation and Monte Carlo Methods 1
10
实用数值计算方法胡上序 教 授陈亚秋 副教授浙江大学材料与化工学院
2000.5
浙江大学研究生学位课程《实用数值计算方法,2
目 录第一章 基本知识第二章 插值方法第三章 线性代数方程组的求解第四章 非线性代数方程和方程组的求解第五章 数值求积和数值求导第六章 常微分方程的数值求解方法第七章 偏微分方程的数值求解方法第八章 综合运用浙江大学研究生学位课程《实用数值计算方法,3
参考书目
Numerical Recipes
The Art of Scientific Computing
William H,Press
Brian P,Flannery
Saul A,Teukolsky
William T,Vetterling
Cambridge University Press
1986
浙江大学研究生学位课程《实用数值计算方法,4
Numerical Recipes --The Art of Scientific Computing
NR
Cambridge University Press 1986
William H,Press,Brian P,Flannery,Saul A,Teukolsky and
William T,Vetterling
1,Preliminaries 4
2,Solution of Linear Algebraic Equations 10
3,Interpolation and Extrapolation 13
4,Integration of Functions 13
5,Evaluation of Functions 9
6,Special Functions 30
浙江大学研究生学位课程《实用数值计算方法,5
7,Random Numbers 15
8,Sorting 11
9,Root Finding and Nonlinear Sets of Equations 13
10,Minimization or Maximization of Functions 16
11,Eigensystems 7
12,Fourier Transform Spectral Methods 13
13,Statistical Description of Data 21
14,Modeling of Data 12
15,Integration of Ordinary Differential Equations 8
16,Two Point Boundary Value Problems 8
17,Partial Differential Equations 2
18,References
205
浙江大学研究生学位课程《实用数值计算方法,6
International Mathematical & Statistical
Libraries IMSL
1,A Analysis of Variance 17
2,B Basic Statistics 33
3,C Categorized Data Analysis 9
4,D Differential Equations,Quadrature,& Differentiation 36
5,E Eigensystem Analysis 33
6,F Forecasting,Econometrics,Time Series,& Transforms 24
7,G Generation and Testing of Random Numbers 56
8,I Interpolation,Approximation and Smoothing 28
9,L Linear Algebraic Equations 45
浙江大学研究生学位课程《实用数值计算方法,7
10,M Mathematical and Statistical Special Functions 69
11,N Non-Parametric Statistics 26
12,O Observation Structure and Multivariate Statistics 18
13,R Regression Analysis 33
14,S Sampling 8
15,U Utility Functions 31
16,V Vector and Matrix Arithmetic 154
17,Z Zeros and Extrema,Linear Programming 55
675
浙江大学研究生学位课程《实用数值计算方法,8
Numerical Methods,Software,and Analysis
IMSL Reference Edition
John R.Rice
McGraw-Hill
1983
浙江大学研究生学位课程《实用数值计算方法,9
Numerical Methods,Software,and Analysis:
NMSA,IMSL Reference Edition
McGraw-Hill 1983
John R,Rice
1,Mathematics and Computer Science Background
2,Numerical Software
3,Errors,Round-off,and Stability
4,Models and Formulas for Numerical Computations
5,Interpolation
浙江大学研究生学位课程《实用数值计算方法,10
6,Matrices and Linear Equations
7,Differentiation and Integration
8,Nonlinear Equations
9,Ordinary Differential Equations
10,Partial Differential Equations
11,Approximation of Functions and Data
12,Software Practice,Costs,and Engineering
13,Software Performance Evaluation
14,The Validation of Numerical Computations
15,PROTRAN
16,Reference Material
浙江大学研究生学位课程《实用数值计算方法,11
Computer Methods
for
Mathematical Computations
George E,Forsythe
Michael A,Malcolm
Cleve B,Moler
Prentice-Hall
1977
浙江大学研究生学位课程《实用数值计算方法,12
Computer Methods for Mathematical
Computations,CMMC
Prentice-Hall 1977
George E,Forsythe
Michael A,Malcolm
Cleve B,Moler
1,Introduction
2,Floating-Point Computation
3,Linear Systems of Equations 2
浙江大学研究生学位课程《实用数值计算方法,13
4,Interpolation 2
5,Numerical Integration 1
6,Initial Value Problems in Ordinary Differential Equations 1
7,Solution of Nonlinear Equations 1
8,Optimization 1
9,Least Squares and the Singular Value Decomposition 1
10,Random Number Generation and Monte Carlo Methods 1
10
