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=Instructor's Solution Manual for Numerical Methods: Using MATLAB John H. Mathews and Kurtis D. Fink August 2012
=John H. Mathews, Kurtis D. Fink - Instructor’s Solution Manual for Numerical Methods_ Using MATLAB
章节主要内容：
1 Preliminaries
1.1 Review of Calculus
1.2 Binary Numbers1.3 Error Analysis
2 The Solution of Nonlinear Equations f(x) = 02.1 Iteration for Solving x = g(x).
2.2 Bracketing Methods for Locating a Root
2.3 Initial Approximation and Convergence Criteria
2.4 Newton-Raphson and Secant Methods
2.5 Aitken's Process and Steffensen's and Muller's Methods
3 The Solution of Linear Systems AX = B
3.1 Introduction to Vectors and Matrices
3.2 Propertics of Vectors and Matrices
3.3
Upper-Triangular Linear Systems.
3.4Gaussian Elimination and Pivoting
3.5Triangular Factorization
3.6 Iterative Methods for Linear Systems
3.7 Iteration for Nonlincar Systems
4 Interpolation and Polynomial Approximation
4.1 Taylor Series and Calculation of Functions.
4.2 Introduction to Interpolation
4.3 Lagrange Approximation.
4.4 Newton Polynomials
4.5Chebyshev Polynomials (Optional)
4.6 Padé Approximations
5 Curve Fitting
5.1 Least-Squares Linc
5.2 Curve Fitting
5.3 Interpolation by Spline Functions
5.4 Fourier Series and Trigonometric Polynomials
5.5 Bézier Curves
6 Numerical Differentiation
6.1 Approximating the Derivative
6.2 Numerical Differentiation Formulas
7 Numerical Integration
7.1 Introduction to Quadrature
7.2 Composite Trapezoidal and Simpson's Rule
7.3 Recursive Rules and Romberg Integration
7.4 Adaptive Quadraturc.
7.5 Gauss-Legendre Integration
8 Numerical Optimization
8.1 Minimization of a function.
8.2 Nelder-Mead and Powell's Methods
8.3 Gradient and Newton's Methods
9 Solution of Differential Equations
9.1 Introduction to Differential Equations
9.2 Euler's Method
9.3 Heun's Method
9.4
Taylor Series Method.
9.59.6
Runge-Kutta Mcthods Predictor-Corrector Methods
9.7
Systems of Differential Equations
9.8
Boundary Value Problems
9.9 Finite-Difference Method
10 Solution of Partial Differential Equations
10.1 Hyperbolic Equations
10.2 Parabolic Equations
10.3 Elliptic Equations
11 Eigenvalues and Eigenvectors
11.1 Homogencous Systems: The Eigenvaluc Problem
11.2 Powcr Method
11.3 Jacobi's Method
11.4 Eigenvalues for Symmetric Matrices
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