Читать книгу Applied Numerical Methods Using MATLAB - Won Y. Yang - Страница 3

1 Chapter 1Table 1.1 Conversion type specifiers and special characters used in fprintf()...Table 1.2 Graphic line specifications used in the ‘plot()’ command.Table 1.3 Functions and variables inside MATLAB.Table 1.4 Relational operators and logical operators.Table P1.4 The depth of the rock layer.Table P1.16 Results of operations with backslash(\) operator and ‘pinv()’ c...

2 Chapter 2Table 2.1 Residual error and the number of floating‐point operations of vario...Table P2.2 Comparison of ‘Gauss()’ with different pivoting methods in terms o...Table P2.3 Comparison of several methods for solving a set of linear equation...Table P2.4 The computational load of the methods to solve a tridiagonal syste...Table P2.6.1 Comparison of several methods for computing the LS solution.Table P2.6.2 Comparison of several methods for solving a system of linear equ...

3 Chapter 3Table 3.1 Divided difference table.Table 3.2 Divided differences.Table 3.3 Chebyshev coefficient polynomials.Table 3.4 Boundary conditions for a cubic spline.Table 3.5 Linearization of nonlinear functions by parameter/data transformati...Table P3.6 Bulirsch‐Stoer method for rational function interpolation.

4 Chapter 4Tabe P4.6 Comparison of various methods used for solving nonlinear equations.Table P4.8 Using ‘Newtons()’/‘fsolve()’ for systems of nonlinear equations.Table P4.9 Using ‘Newtons()’/‘fsolve()’ for systems of nonlinear equations.

5 Chapter 5Table 5.1.1 The forward difference approximation (5.1.4) for the first deriva...Table 5.1.2 The central difference approximation (5.1.8) for the first deriva...Table 5.2 The difference approximation formulas for the first and second deri...Table 5.3 Romberg table.Table P5.2 Three functions each given as a set of five data pairs.Table P5.4 Results of using various numerical integration methods.Table 5.7 Results of using various numerical integration methods for improper...Table P5.8 Results of using various numerical integration methods.Table P5.10 Relative error results of suing various numerical integration met...Table P5.12 Results of using various numerical integration methods for (P5.12...Table P5.15.1 Results of using ‘int2s()’ and “dblquad()' for the integral (...Table P5.15.2 Results of using ‘int2s()’ and ‘dblquad()’ for the integral (...Table P5.15.3 Results of using the double integration routine ‘int2s()’ for (...

6 Chapter 6Table 6.1 A numerical solution of the DE (6.1.1) obtained by the Euler's meth...Table 6.2 Results of applying several functions for solving a simple DE.Table P6.11 Comparison of the BVP solvers ‘bvp2_shoot()’ and ‘bvp2_fdf()’....Table P6.12 Comparison of the BVP solvers ‘bvp2_shoot()’ and ‘bvp2_fdf()’....

7 Chapter 7Table 7.1 Results of using the several optimization functions with various in...Table 7.2 Results of using several unconstrained optimization functions with ...Table 7.3 The names of the MATLAB built‐in minimization functions.Table P7.2.1 Extrema (maxima/minima) and saddle points of the function (P7.2....Table P7.2.2 Points reached by the several optimization functions.Table P7.7 The results of using ‘fmincon()’ with different initial guess.Table P7.8 The results of penalty methods depending on the initial guess and ...

8 Chapter 9Table P9.8.1 The maximum absolute error and the number of nodes.Table P9.8.2 The maximum absolute error and the number of nodes.Table P9.8.3 The maximum absolute error and the number of nodes.

9 4 Table D.1 Laplace transforms of basic functions. Table D.2 Properties of Laplace transform.

10 5 Table E.1 Definition and properties of the CTFT (continuous‐time Fourier transfo... Table E.2 Properties of DTFT (discrete‐time Fourier transform.)

11 9Table I.1 Some frequently used MATLAB commands.Table I.2 Graphic line specifications used in theplot() command.Table I.3 Functions and variables in MATLAB.