Jain Iyengar Numerical Methods

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PREFACE We thank the faculty and the students of various universities, Engineering colleges and others for sending their suggestions for improving this book. Based on their suggestions, we have made the follwoing changes. (i) New problems have been added and detailed solutions for many problems are given. (ii) C-programs of frequently used numerical methods are given in the Appendix. These programs are written in a simple form and are user friendly. Modifications to these programs can be made to suit individual requirements and also to make them robust. We look forward to more suggestions from the faculty and the students. We are thankful to New Age International Limited for bringing out this Second Edition. New Delhi

M.K. Jain S.R.K. Iyengar R.K. Jain

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1.2ITERATIVE METHODS FOR SIMPLE ROOTS 1.3ITERATIVE METHODS FOR MULTIPLE ROOTS 1.4ITERATIVE METHODS FOR A SYSTEM OF NONLINEAR EQUATIONS 1.5COMPLEX ROOTS 1.6ITERATIVE METHODS FOR POLYNOMIAL EQUATIONS Linear Algebraic Equations and Eigenvalue Problems 2.3ITERATION METHODS 2.4EIGENVALUE PROBLEMS 2.5SPECIAL SYSTEM OF EQUATIONS 2.6PROBLEMS AND SOLUTIONS Interpolation and Approximation 3.1 INTRODUCTION 3.2 LAGRANGE AND NEWTON INTERPOLATIONS 3.3 GREGORY-NEWTON INTERPOLATIONS 3.4 HERMITE INTERPOLATION 3.5 PIECEWISE AND SPLINE INTERPOLATION 3.7 APPROXIMATION 3.8 PROBLEMS AND SOLUTIONS Differentiation and Integration 4.2NUMERICAL DIFFERENTIATION 4.3EXTRAPOLATION METHODS 4.4PARTIAL DIFFERENTIATION 4.5OPTIMUM CHOICE OF STEP LENGTH 4.6NUMERICAL INTEGRATION 4.7NEWTON-COTES INTEGRATION METHODS 4.8GAUSSIAN INTEGRATION METHODS 4.9COMPOSITE INTEGRATION METHODS 4.10ROMBERG INTEGRATION 4.12PROBLEMS AND SOLUTIONS Numerical Solution of Ordinary Differential Equations 5.2SINGLESTEP METHODS 5.3MULTISTEP METHODS 5.4PREDICTOR CORRECTOR METHODS 5.5STABILITY ANALYSIS 5.6. SYSTEM OF DIFFERENTIAL EQUATIONS 5.7SHOOTING METHODS 5.8FINITE DIFFERENCE METHODS 5.9PROBLEMS AND SOLUTIONS Info and Rating Category: Uncategorized. Rating: Upload Date: 09/11/2010 Copyright: Attribution Non-commercial Tags: This document has no tags. Free ebook download as PDF File (.pdf), text file (.txt) or read book online for free. Flag document for inapproriate content

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