《計算方法（英文版）》是2018年7月1日河南大學出版社出版的圖書，作者是葛志昊、徐琛梅。
基本介紹
- 中文名：計算方法（英文版）
- 作者：葛志昊、徐琛梅
- 出版社：河南大學出版社
- ISBN：9787564930547
內容簡介,圖書目錄,
內容簡介
《計算方法（英文版）》為普通高校類數學專業教材，全書用英文編寫，符合《數值分析》大綱要求，適用於理科數學類專業本科生及其他理工科碩士研究生”數值分析”課程，旨在提高學生的專業英語能力，更適應當前對國際化的要求。
《計算方法（英文版）》共8章內容，包括引言（數值計算方法及其內容介紹、誤差理論）、插值、數值積分與數值微分、求解線性代數方程組、矩陣特徵值近似求解、非線性方程數值解法、常微分方程組的數值解法，並且每章配有習題。
圖書目錄
Chapter 1 Introduction
1．1 Numerical Computational Methods and Main Contents
1．2 Error
1．3 Stability Analysis of Numerical Methods
1．4 How to Avoid Error
Excises 1
Chapter 2 Interpolation and Polynomial Approximation
2．1 Introduction
2．2 Lagrange Interpolation Polynomial
2．3 Neville' s Interpolating Formula
2．4 Newton Interpolation
2．5 Hermite Interpolation
2．6 Piecewise Polynomial Approximation
2．7 Cubic Spline Interpolation
Excises 2
Chapter 3 Approximation Theory
3．1 Optimal Approximation
3．2 Optimal Approximation of Normed Linear Space
3．3 Optimal Uniform Approximation Polynomial
3．4 Minimum Error to Zero-Chebyshev Polynomial
3．5 Optimal Approximation of the Inner Product Space
3．6 Optimal Square Approximation and Orthogonal Polynomials
3．7 Discrete Optimal Square Approximation and Least Square Method （L-S）
Excises 3
Chapter 4 Numerical Integration and Differentiation
4．1 Introduction
4．2 Newton-Cotes Quadrature Formula
4．3 Composite Numerical Integration
4．4 Richardson Extrapolation and Romberg Integration
4．5 Gaussian Quadrature
4．6 Numerical Differentiation
Excises 4
Chapter 5 Solving Linear System of Equations
5．1 Elementary Notions and Results of Linear Algebra
5．2 Direct Methods for Solving Linear System of Equations
5．3 Error of Gaussian Elimination
5．4 Iterative Methods for Solving Linear Systems
5．5 Conjugate Gradient Method
Excises 5
Chapter 6 Approximating Eigenvalues
6．1 Linear Algebra and Eigenvalues
6．2 The Power Method and the Inverse Power Method
6．3 Householder' s Method
6．4 QR Algorithm
6．5 Improved Power Method
Excises 6
Chapter 7 Numerical Solutions of Nonlinear Systems
7．1 The Bisection Method
7．2 Fixed Point Iterative Method
7．3 Newton' s Iteration Method
7．4 Numerical Solutive for Nonlinear Systems of Equations
Excises 7
Chapter 8 Numerical Solutions of Ordinary Differential Equations
8．1 Introduction
8．2 Euler's Method
8．3 Multistep Methods （Ⅰ）
8．4 Muhistep Methods （Ⅱ）
8．5 Runge-Kutta Method
8．6 Stiff Problem
8．7 Numerical Solution for Boundary-value Problem
Excises 8
References
