TY  - GEN
AU  - Jain, M. K. & Others
TI  - Numerical methods for scientific and engineering computation
SN  - 9788122433234
U1  - 511.02462 
PY  - 2018///
CY  - New Delhi
PB  - New Age International Publishers
KW  -  
N1  - CONTENTS
Preface to the Sixth Edition     v
Preface to the First Edition   vii
1.HIGH SPEED COMPUTATION	1
1.1 Introduction     1
1.2 Computer  Arithmetic	1
1.3 Errors    7 
1.4 Machine Computation	12
1.5 Computer  Software  	15
2. TRANSCENDENTAL  AND  POLYNOMIAL  EQUATIONS	18
2.1 Introduction    	18
2.2 Bisection Method	20
2.3 Iteration  Methods  Based  on First Degree Equation	22
2.4 Iteration Methods Based on Second Degree Equation	29
2.5 Rate of Convergence  	41
2.6 General  Iteration Methods	53
2.7 System of Nonlinear  Equations	63
2.8 Methods for Complex Roots	72
Exercise  2.1  	74
2.9 Polynomial  Equations	83
2.10 Choice of an Iterative Method and Implementation	100
Exercise  2.2	102
3. SYSTEM OF LINEAR ALGEBRAIC EQUATIONS AND
EIGENVALUE   PROBLEMS	104
3.1 Introduction  	104
3.2 Direct Methods  	110
3.3 Error Analysis for Direct •Methods	134
Exercise 3 140 
3.4 Iteration Methods  	146
Exercise  3.2  	165
3.5 Eigenvalues .and Eigenvectors  170
3.6 Bounds on Eigenvalues      174
3.7 Jacobi Method for Symmetric Matrices    179
3.8 Givens Method for Symmetric Matrices  	185
3.9 Householder's  Method  for  Symmetric Matrices   	189
3.10 Rutishauser Method for Arbitrary  Matrices   	193
3.11   Power Method	196
3. 12   Inverse Power Method  	199
3.13   Choice of a Method	201
Exercise  3.3  203
4. INTERPOLATION  AND APPROXIMATION	210
4.1 Introduction	210
4.2 Lagrange and Newton  Interpolations	213
4.3 Finite Difference Operators	229
4.4 Interpolating Polynomials Using Finite Differences  	235
Exercise  4.1  	242
4.5 Hennite Interpolation    247
4.6 Piecewise and Spline Interpolation	251
4.7 Bivariate Interpolation	273
Exercise  4.2 276
4.8 Approxitnation	282
4.9 Least Squares Approximation	284
4.10 Uniform Approximation  	302
4.11 Rational Approximation	308
4.12 Choice of the Method   	310
Exercise  4.3	313
5. DIFFERENTIATION  AND INTEGRATION	320
5.1 Introduction	320
5.2 Numerical  Differentiation   	320
5.3 Optimum Choice of Step-Length  	335
5.4 Extrapolation Methods	339
5.5 Partial Differentiation	343
Exercise  5.1  	345
5.6 Numerical Integration	348
5.7 Methods Based on Interpolation	349
5.8   Methods Based on Undetermined Coefficients	356
5.9   Composite Integration Methods	386
5.10  Romberg Integration;	390
5.11  Double Integration	393
Exercise  5.2	396
6. . ORDINARY DIFFERENTIAL  EQUATIONS:
INITIAL v;ALUE PROBLEMS	403
6.1 Introduction  	403
6.2   Difference Equations	412
Exercise  6.1  	419
6.3   Numerical Methods	421
6.4•  Sing1estep Methods	434
6.5    Stability Analysis  of Singlestep Methods  	468
Exercise  6.2	477
6.6   Multistep Methods	485
6.7   Predictor-Corrector Methods	517
6.8   Stability Analysis of Multistep Methods	525
6.9   Stiff System	540
Exercise  6.3	541
7. ORDINARY DIFFERENTIAL EQUATIONS:
BOUNDARY  VALUE PROBLEMS	550
7.1      Introduction   	550
7.2  Initial Value Problem Method (Shooting Method)  	551
Exercise  7.1  	
7.3  Finite Difference Methods  	574
Exercise  7.2 	604
7.4       Finite   Element   Methods     610
Exercise  7.3  	630
ANSWERS AND HINTS TO THE PROBLEMS  633
BIBLIORAPHY 717
INDEX    719

ER  -