TY  - BOOK
AU  - Kincaid,David
AU  - Cheney,E.W.
TI  - Numerical analysis: mathematics of scientific computing 
SN  - 0534389058 (alk. paper)
U1  - 518 21
PY  - 2002///
CY  - Pacific Grove, CA
PB  - American mathematical society
KW  - Numerical analysis
N1  - 
CONTENT

1. Mathematical preliminaries 
1.0 Introduction 
1.1 Basic concepts and taylor theorem 
1.2 Order of convergence and additional basic concepts 
1.3 Difference equations 

2. Computer arithmetic 
2.0 Introduction 
2.1 Floating point numbers and round off errors
2.2 Absolute and relative errors : loss of significance 
2.3 Stable and unstable computation  : conditioning 

3. Solution of nonlinear equations 
3.0 Introduction 
3.1 Bisection ( interval halving ) method 
3.2 Newton's method 
3.3 Secant method
etc 

4. Solving system of linear equation 
4.0 Introduction 
4.1 Matrix algebra 
4.2 LU and chlolesky factorization 
4.3 Pivoting and constructing an algorithms 
ect 
 5. Selected topics in numerical linear Algebra 
5.0 Review of basic concepts 
5.1 Matrix eigenvalue problem : power method 
5.2 Shur's and gershorin theorems
etc 

6. Approximation function 
6.0Introduction 
6.1. Polynomial interpolation 
6.2 Divided differences
6.3 Hermite interpolation 
etc 

7. Numerical differentiation and integration
7.1 Numerical differentiation and richarson extrapolation 
7.2 Numerical intergration based on interpolation 
7.3 Gaussian quadrature 
etc 

8. Numerical solution of ordinary differential equations 
8.0 Introduction 
8.1 The existence and uniqueness of solutions 
8.2 Taylor seirs method 
8.3 Runger- kutte methods 
etc

9. Numerical solution of partial differential equations 
9.0 Introduction 
9.1 Parabolic equations : Explicit methods 
9.2 Parabolic equations : implicit methods 
9.3 Problems without time dependence : finite differenc 
etc 

10 : Linear programming and related topics 
10.1 Convexity and linear in equalities 
10.2 Linear in equalities 
10.3 Linear programming 
10.4 The simplex algorithms 

11. Optimisation 
11.0 Introduction 
11.1 One variable case
11.2 Descent methods 
11.3 Analysis of quadratic objective functions 
etc
; Bibliography : p745- 769 ._ Index : p 771-788
ER  -