Numerical methods for scientific and engineering computation (Record no. 55564)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03555 a2200181 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9788122433234 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.02462 |
| Item number | JAI |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Jain, M. K. & Others |
| 245 ## - TITLE STATEMENT | |
| Title | Numerical methods for scientific and engineering computation |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Ed.6 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | New Age International Publishers |
| Date of publication, distribution, etc | 2018 |
| Place of publication, distribution, etc | New Delhi |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi,722p.,CD-ROM |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | CONTENTS<br/>Preface to the Sixth Edition v<br/>Preface to the First Edition vii<br/>1.HIGH SPEED COMPUTATION 1<br/>1.1 Introduction 1<br/>1.2 Computer Arithmetic 1<br/>1.3 Errors 7 <br/>1.4 Machine Computation 12<br/>1.5 Computer Software 15<br/>2. TRANSCENDENTAL AND POLYNOMIAL EQUATIONS 18<br/>2.1 Introduction 18<br/>2.2 Bisection Method 20<br/>2.3 Iteration Methods Based on First Degree Equation 22<br/>2.4 Iteration Methods Based on Second Degree Equation 29<br/>2.5 Rate of Convergence 41<br/>2.6 General Iteration Methods 53<br/>2.7 System of Nonlinear Equations 63<br/>2.8 Methods for Complex Roots 72<br/>Exercise 2.1 74<br/>2.9 Polynomial Equations 83<br/>2.10 Choice of an Iterative Method and Implementation 100<br/>Exercise 2.2 102<br/>3. SYSTEM OF LINEAR ALGEBRAIC EQUATIONS AND<br/>EIGENVALUE PROBLEMS 104<br/>3.1 Introduction 104<br/>3.2 Direct Methods 110<br/>3.3 Error Analysis for Direct •Methods 134<br/>Exercise 3 140 <br/>3.4 Iteration Methods 146<br/>Exercise 3.2 165<br/>3.5 Eigenvalues .and Eigenvectors 170<br/>3.6 Bounds on Eigenvalues 174<br/>3.7 Jacobi Method for Symmetric Matrices 179<br/>3.8 Givens Method for Symmetric Matrices 185<br/>3.9 Householder's Method for Symmetric Matrices 189<br/>3.10 Rutishauser Method for Arbitrary Matrices 193<br/>3.11 Power Method 196<br/>3. 12 Inverse Power Method 199<br/>3.13 Choice of a Method 201<br/>Exercise 3.3 203<br/>4. INTERPOLATION AND APPROXIMATION 210<br/>4.1 Introduction 210<br/>4.2 Lagrange and Newton Interpolations 213<br/>4.3 Finite Difference Operators 229<br/>4.4 Interpolating Polynomials Using Finite Differences 235<br/>Exercise 4.1 242<br/>4.5 Hennite Interpolation 247<br/>4.6 Piecewise and Spline Interpolation 251<br/>4.7 Bivariate Interpolation 273<br/>Exercise 4.2 276<br/>4.8 Approxitnation 282<br/>4.9 Least Squares Approximation 284<br/>4.10 Uniform Approximation 302<br/>4.11 Rational Approximation 308<br/>4.12 Choice of the Method 310<br/>Exercise 4.3 313<br/>5. DIFFERENTIATION AND INTEGRATION 320<br/>5.1 Introduction 320<br/>5.2 Numerical Differentiation 320<br/>5.3 Optimum Choice of Step-Length 335<br/>5.4 Extrapolation Methods 339<br/>5.5 Partial Differentiation 343<br/>Exercise 5.1 345<br/>5.6 Numerical Integration 348<br/>5.7 Methods Based on Interpolation 349<br/>5.8 Methods Based on Undetermined Coefficients 356<br/>5.9 Composite Integration Methods 386<br/>5.10 Romberg Integration; 390<br/>5.11 Double Integration 393<br/>Exercise 5.2 396<br/>6. . ORDINARY DIFFERENTIAL EQUATIONS:<br/>INITIAL v;ALUE PROBLEMS 403<br/>6.1 Introduction 403<br/>6.2 Difference Equations 412<br/>Exercise 6.1 419<br/>6.3 Numerical Methods 421<br/>6.4• Sing1estep Methods 434<br/>6.5 Stability Analysis of Singlestep Methods 468<br/>Exercise 6.2 477<br/>6.6 Multistep Methods 485<br/>6.7 Predictor-Corrector Methods 517<br/>6.8 Stability Analysis of Multistep Methods 525<br/>6.9 Stiff System 540<br/>Exercise 6.3 541<br/>7. ORDINARY DIFFERENTIAL EQUATIONS:<br/>BOUNDARY VALUE PROBLEMS 550<br/>7.1 Introduction 550<br/>7.2 Initial Value Problem Method (Shooting Method) 551<br/>Exercise 7.1 <br/>7.3 Finite Difference Methods 574<br/>Exercise 7.2 604<br/>7.4 Finite Element Methods 610<br/>Exercise 7.3 630<br/>ANSWERS AND HINTS TO THE PROBLEMS 633<br/>BIBLIORAPHY 717<br/>INDEX 719<br/> |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| 9 (RLIN) | 65767 |
| 890 ## - Country | |
| Country | India |
| 891 ## - Topic | |
| Topic | FT |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Withdrawn status | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last borrowed | Cost, replacement price | Price effective from | Koha item type | Shelving location |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Faculty of Technology | CEPT Library | CEPT Library | 04/04/2019 | Alpha Book Co. | 356.25 | 1 | 511.02462 JAI | 020716 | 13/04/2019 | 07/04/2019 | 475.00 | 02/03/2019 | Book | ||||||
| Dewey Decimal Classification | CEPT Library | CEPT Library | 13/03/2019 | Faculty of Technology | 511.02462 JAI | 020716\CD | 13/03/2019 | 13/03/2019 | Non Book Material | Processing Center |