TY  - BOOK
AU  - Schilling,Robert J.
AU  - Harris,Sandra L.
TI  - Applied numerical methods for engineers using MATLAB and C / 
SN  - 9788131504000
U1  - 620.00151 21
PY  - 2007///
CY  - New Delhi
PB  - Cengage
KW  - Engineering mathematics
KW  - Data processing
KW  - C (Computer program language)
N1  - Includes bibliographical references (p. 530-532) and index; 1.	Numerical computation motivation and objectives ; 
1.	Number representation ; 
2.	Machine precision ; 
3.	Round-off error ; 
4.	Truncation error ; 
5.	Random number generation ; 
6.	Numerical software ; 
7.	Applications ; 
8.	Chapter summary ; 
9.	Problems 2. Linear algebraic systems motivation and objectives ; 
10.	Gauss-jordan elimination ; 
11.	Gaussian elimination ; 
12.	Lu decomposition ; 
13.	Ill-conditioned systems ; 
14.	Iterative methods ; 
15.	Applications ; 
16.	Chapter summary ; 
17.	Problems 3. Eigenvalues and eigenvectors motivation and objectives ; 
18.	The characteristic polynomial ;
19.	Power methods ; 
20.	Jacobi''s method ; 
21.	Householder transformation ; 
22.	Qr method ; 
23.	Danilevsky''s method ; 
24.	Polynomial roots ; 
25.	Applications ; 
26.	Chapter summary ;
27.	problems 4. Curve fitting motivation and objectives ;
28.	Interpolation ; 
29.	Newton''s difference formula ; 
30.	Cubic splines ; 
31.	Least square ; 
32.	Two-dimensional interpolation ; 
33.	Applications ; 
34.	Chapter summary ; 
35.	Problems 5. Root finding motivation and objectives ; 
36.	Bracketing methods ; 
37.	Contraction mapping method ; 
38.	Secant method ; 
39.	Muller''s method ; 
40.	Newton''s method ; 
41.	Polynomial roots ; 
42.	Nonlinear systems of equations ; 
43.	Applications ; 
44.	Chapter summary ; 
45.	Problems 6. Optimization motivation and objectives ; 
46.	Local and global minima ; 
47.	Line searches ; 
48.	Steepest descent method ; 
49.	Conjugate-gradient method ; 
50.	Quasi-newton methods ; 
51.	Penalty functions ; 
52.	Simulated annealing ; 
53.	Applications ; 
54.	Chapter summary ; 
55.	Problems 7. Differentiation and integration motivation and objectives ; 
56.	Numerical differentiation ; 
57.	Noise-corrupted data ; 
58.	Newton-cotes integration formulas ; 
59.	Romberg integration ; 
60.	Gauss quadrature ; 
61.	Improper integrals ; 
62.	Multiple integrals ; 
63.	Applications ; 
64.	Chapter summary ; 
65.	Problems 8. Ordinary differential equations motivation and objectives ; 
66.	Euler''s method ; 
67.	Runge-kutta methods ; 
68.	Step size control ; 
69.	Multi-step methods ; 
70.	Bulirsch-stoer extrapolation methods ; 
71.	Stiff differential equations ; 
72.	Boundary 
73.	Value problems ; 
74.	Applications ;
75.	Summary ; 
76.	Problems 9. Partial differential equations motivation and objectives ; 
77.	Elliptic equations ; 
78.	One-dimensional parabolic equations ; 
79.	Two-dimensional parabolic equations ; 
80.	One-dimensional hyperbolic equations ; 
81.	Two-dimensional hyperbolic equations ; 
82.	Applications ; 
83.	Chapter summary ; 
84.	Problems 10. Digital signal processing motivation and objectives ; 
85.	Fourier transform ; 
86.	Fast fourier transform (fft) ; 
87.	Correlation ; 
88.	Convolution digital filters ; 
89.	Two-dimensional fft ; 
90.	System identification ; 
91.	Applications ; 
92.	Chapter summary ; 
93.	Problems ; 
94.	References and further reading ; 
95.	Appendix 1: nlib using matlab? ; 
96.	A numerical toolbox: nlib ; 
97.	Main-program support ; 
98.	Linear algebraic systems ; 
99.	Eigenvalues and eigenvectors ; 
100.	Curve fitting ; 
101.	Root finding ; 
102.	Optimization ; 
103.	Differentiation and integration ; 
104.	Ordinary differential equations ; 
105.	Partial differential equations ; 
106.	Digital signal processing ; 
107.	Appendix 2: nlib using c ; 
108.	A numerical library: nlib ; 
109.	Nlib data types ; 
110.	Nlib core: nlib.c ; 
111.	Tabular display: show.c ; 
112.	Graphical display: draw.c ; 
113.	Linear algebraic systems: linear.c ; 
114.	Eigenvalues and eigenvectors: eigen.c ; 
115.	Curve fitting: curves.c ; 
116.	Root finding: roots.c ; 
117.	Optimization: optim.c ; 
118.	Differentiation and integration: integ.c ; 
119.	Ordinary differential equations: ode.c ; 
120.	Partial differential equations: pde.c ;
121.	Digital signal processing: dsp.c ; 
122.	Appendix 3: vectors and matrices ; 
123.	Vector and matrix notation ; 
124.	Basic operations ; 
125.	Inverses ; 
126.	Eigenvalues and eigenvectors ; 
127.	Vector norms ; 
128.	Appendix 4: answers to selected problems ; index

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