An introduction to numerical methods: a MATLAB approach/ (Record no. 1924)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04754cam a22002054a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781439868997 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1439868999 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 005.1 |
| Item number | KHA/I |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kharab, Abdelwahab. |
| 245 13 - TITLE STATEMENT | |
| Title | An introduction to numerical methods: a MATLAB approach/ |
| Statement of responsibility, etc. | Abdelwahab Kharab, Ronald B. Guenther |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Boca Raton: |
| Name of publisher, distributor, etc. | CRC Press, |
| Date of publication, distribution, etc. | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 567 p. : |
| Other physical details | ill. ; |
| Dimensions | 26 cm. + |
| Accompanying material | CD-ROM |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Introduction<br/>1.1 ABOUT MATLAB and MATLAB GUI (Graphical User Interface)<br/>1.2 AN INTRODUCTION TO MATLAB<br/>1.2.1 Matrices and matrix computation<br/>1.2.2 Polynomials<br/>1.2.3 Output format<br/>1.2.4 Planar plots<br/>1.2.5 3-D mesh plots<br/>1.2.6 Function files<br/>1.2.7 Defining functions<br/>1.2.8 Relations and loops<br/>1.3 TAYLOR SERIES<br/>2 Number System and Errors<br/>2.1 FLOATING-POINT ARITHMETIC<br/>2.2 ROUND-OFF ERRORS<br/>2.3 TRUNCATION ERROR<br/>2.4 INTERVAL ARITHMETIC<br/>3 Roots of Equations<br/>3.1 THE BISECTION METHOD<br/>3.2 THE METHOD OF FALSE POSITION<br/>3.3 FIXED POINT ITERATION<br/>3.4 THE SECANT METHOD<br/>3.5 NEWTON'S METHOD<br/>3.6 CONVERGENCE OF THE NEWTON AND<br/>SECANT METHODS<br/>3.7 MULTIPLE ROOTS AND THE MODIFIED<br/>NEWTON METHOD<br/>3 NEWTON'S METHOD FOR NONLINEAR<br/>SYSTEMS .<br/>APPLIED PROBLEMS<br/>4 System of Linear Equations<br/>4.1 MATRICES AND MATRIX OPERATIONS .<br/>4.2 NAIVE GAUSSIAN ELIMINATION<br/>4.3 GAUSSIAN ELIMINATION WITH SCALED PARTIAL<br/>PIVOTING<br/>4.4 LU DECOMPOSITION<br/>4.4.1 Grout s and Cholesky's methods .<br/>4.4.2 Gaussian elimination method<br/>4.5 ITERATIVE METHODS<br/>4.5.1 Jacobi iterative method<br/>4.5.2 Gauss-Seidel iterative method<br/>4.5.3 Gonvergence<br/>APPLIED PROBLEMS<br/>5 Interpolation<br/>5.1 POLYNOMIAL INTERPOLATION THEORY<br/>5.2 NEWTON'S DIVIDED-DIFFERENCE INTERPOLATING<br/>POLYNOMIAL .<br/>5.3 THE ERROR OF THE INTERPOLATING<br/>POLYNOMIAL<br/>5.4 LAGRANGE INTERPOLATING POLYNOMIAL<br/>APPLIED PROBLEMS<br/>6 Interpolation with Spline Functions<br/>6.1 PIECE WISE LINEAR INTERPOLATION .<br/>6.2 QUADRATIC SPLINE<br/>6.3 NATURAL CUBIC SPLINES .<br/>APPLIED PROBLEMS<br/>7 The Method of least-squares<br/>7.1 LINEAR least-squares<br/>7.2 LEAST-SQUARES POLYNOMIAL .<br/>7.3 NONLINEAR least-squares<br/>7.3.1 Exponential form<br/>7.3.2 Hyperbolic form<br/>7.4 TRIGONOMETRIC LEAST-SQUARES POLYNOMIAL<br/>APPLIED PROBLEMS<br/>8 Numerical Optimization<br/>8.1 ANALYSIS OF SINGLE-VARIABLE FUNCTIONS<br/>8.2 LINE SEARCH METHODS<br/>8.2.1 Bracketing the minimum<br/>8.2.2 .olden section search<br/>8.2.3 Fibonacci Search<br/>8.2.4 Parabolic Interpolation .<br/>8.3 MINIMIZATION USING DERIVATIVES<br/>8.3.1 Newton's method<br/>8.3.2 Secant method<br/>APPLIED PROBLEMS<br/>9 Numerical DifFerentiation<br/>9.1 NUMERICAL DIFFERENTIATION<br/>9.2 RICHARDSON'S FORMULA<br/>APPLIED PROBLEMS<br/>10 Numerical Integration<br/>10.1 TRAPEZOIDAL RULE<br/>10.2 SIMPSON'S RULE<br/>10.3 ROMBERC ALGORITHM<br/>10.4 GAUSSIAN QUADRATURE<br/>APPLIED PROBLEMS<br/>11 Numerical Methods for Linear Integral Equations<br/>11.1 INTRODUCTION<br/>11.2 QUADRATURE RULES<br/>11.2.1 Trapezoidal rule<br/>11.2.2 The Gauss-Nystrom method<br/>11.3 THE SUCCESSIVE APPROXIMATION METHOD<br/>11.4 SCHMIDT'S METHOD<br/>11.5 VOLTERRA-TYPE INTEGRAL EQUATIONS<br/>11.5.1 Euler's method<br/>11.5.2 Heun's method<br/>APPLIED PROBLEMS<br/>12 Numerical Methods for Differential Equations<br/>12.1 EULER'S METHOD<br/>12.2 ERROR ANALYSIS<br/>12.3 HIGHER-ORDER TAYLOR SERIES METHODS . .<br/>12.4 RUNCE-KUTTA METHODS<br/>12.5 MULTISTEP METHODS . .<br/>12.6 ADAMS-BASHFORTH METHODS<br/>12.7 PREDICTOR-CORRECTOR METHODS<br/>12.8 ADAMS-MOULTON METHODS<br/>12.9 NUMERICAL STABILITY<br/>12.10 HIGHER-ORDER EQUATIONS AND SYSTEMS<br/>OF DIFFERENTIAL EQUATIONS AND SYSTEMS<br/>12.11 TPLICIT METHODS AND STIFF SYSTEMS<br/>12.12 ASE PLANE ANALYSIS: CHAOTIC DIFFERENTIAL<br/>.QUATIONS<br/>APPLIED PROBLEMS .<br/>13 Boundary-Value Problems<br/>13.1 FINITE-DIFFERENCE METHODS<br/>13.2 SHOOTING METHODS<br/>13.2.1 The nonlinear case<br/>13.2.2 The linear case<br/>APPLIED PROBLEMS<br/>14 Eigenvalues and Eigenvectors<br/>14.1 BASIC THEORY<br/>14.2 THE POWER METHOD<br/>14.3 THE QUADRATIC METHOD<br/>14.4 EIGENVALUES FOR BOUNDARY-VALUE PROBLEMS<br/>14.5 BIFURCATIONS IN DIFFERENTIAL EQUATIONS<br/>APPLIED PROBLEMS<br/>15 Partial Differential Equations<br/>15.1 PARABOLIC EQUATIONS<br/>15.1.1 Explicit methods<br/>15.1.2 Implicit methods<br/>15.2 HYPERBOLIC EQUATIONS<br/>15.3 ELLIPTIC EQUATIONS .<br/>15.4 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS<br/>15.4.1 Burger's equation<br/>15.4.2 Reaction-diffusion equation<br/>15.4.3 Porous media equation<br/>15.4.4 Hamilton-Jacobi-Bellman equation<br/>15.5 INTRODUCTION TO FINITE-ELEMENT METHOD . .<br/>15.5.1 Theory<br/>15.5.2 The Finite-Element Method<br/>APPLIED PROBLEMS<br/>Bibliography and References<br/>Appendix<br/>A Calculus Review<br/>A.l Limits and continuity<br/>A. 2 Differentiation<br/>A. 3 Integration<br/>B MATLAB Built-in Functions<br/>C Text MATLAB unctions |
| 650 ## - SUBJECT | |
| Keyword | Numerical analysis--Data processing |
| 650 ## - SUBJECT | |
| Keyword | MATLAB |
| 650 ## - SUBJECT | |
| Keyword | Mathematical physics |
| 650 ## - SUBJECT | |
| Keyword | Mechanical engineering |
| 650 ## - SUBJECT | |
| Keyword | Numerical analysis |
| 650 ## - SUBJECT | |
| Keyword | Numerical analysis--Computer programs |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guenther, Ronald B. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 01/06/2016 | 005.1 KHA/I | P41464 | 17/11/2017 | 17/11/2017 | General Books |