INTRODUCTORY METHODS OF NUMERICAL ANALYSISThis thoroughly revised and updated text, now in its fifth edition, continues to provide a rigorous introduction to the fundamentals of numerical methods required in scientific and technological applications, emphasizing on teaching students numerical methods and in helping them to develop problem-solving skills. While the essential features of the previous editions such as References to MATLAB, IMSL, Numerical Recipes program libraries for implementing the numerical methods are retained, a chapter on Spline Functions has been added in this edition because of their increasing importance in applications. This text is designed for undergraduate students of all branches of engineering. NEW TO THIS EDITION : Includes additional modified illustrative examples and problems in every chapter. Provides answers to all chapter-end exercises. Illustrates algorithms, computational steps or flow charts for many numerical methods. Contains four model question papers at the end of the text. |
Contents
| 1 | |
SS Sastry 02 | 22 |
SS Sastry 03 | 73 |
SS Sastry 04 | 126 |
SS Sastry 05 | 181 |
SS Sastry 06 | 207 |
SS Sastry 07 | 255 |
SS Sastry 08 | 302 |
SS Sastry 09 | 342 |
SS Sastry 10 | 379 |
SS Sastry 11 | 405 |
| 431 | |
SS Sastry Question paper | 437 |
| 447 | |
Common terms and phrases
absolute error accuracy algorithm B-splines Bessel’s formula bisection method boundary conditions boundary value problem called Chebyshev polynomials coefficients consider convergence correct to three cubic spline data points definite determine eigenvalues eigenvector elimination Evaluate exact value find finding finite difference finite element first fit forward difference function values Gauss given in Eq gives Hence integral equation interpolation formula interval iteration formula iteration method Lagrange’s least squares least squares approximation linear LU decomposition natural cubic spline Newton—Raphson method numerical methods numerical solution obtain orthogonal partial differential equations problem defined quadratic real root recurrence relation result root lies Runge—Kutta satisfies Section side of Eq significant figures Similarly simplification Simpson’s rule sinx Solve the system spline method subintervals Substituting system of equations tabulated function Taylor’s series three decimal places trapezoidal rule tridiagonal