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BL
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| Record Number
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1014889
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| Doc. No
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b769259
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| Main Entry
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Jain, M. K.
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| Title & Author
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Numerical methods : : problems and solutions /\ M.K. Jain, S.R.K. Iyengar, R.K. Jain.
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| Edition Statement
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2nd ed.
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| Publication Statement
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New Delhi :: New Age International (P) Ltd., Publishers,, 2004.
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| Page. NO
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1 online resource (430 pages) :: illustrations
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| ISBN
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8122415342
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: 8122424260
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: 9788122415346
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: 9788122424263
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9788122415346
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9788122424263
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| Bibliographies/Indexes
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Includes bibliographical references (pages 416-418) and index.
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| Contents
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Cover -- Preface -- Contents -- Chapter 1 Transcendental and Polynomial Equations -- 1.1 Introduction -- 1.2 Iterative Methods for Simple Roots -- 1.3 Iterative Methods for Multiple Roots -- 1.4 Iterative Methods for a System of Nonlinear Equations -- 1.5 Complex Roots -- 1.6 Iterative Methods for Polynomial Equations -- 1.7 Problems and Solutions -- Chapter 2 Linear Algebraic Equations and Eigenvalue Problems -- 2.1 Introduction -- 2.2 Direct Methods -- 2.3 Iteration Methods -- 2.4 Eigenvalue Problems -- 2.5 Special System of Equations -- 2.6 Problems and Solutions.
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4.9 Composite Integration Methods -- 4.10 Romberg Integration -- 4.11 Double Integration -- 4.12 Problems and Solutions -- Chapter 5 Numerical Solution of Ordinary Differential Equations -- 5.1 Introduction -- 5.2 Singlestep Methods -- 5.3 Multistep Methods -- 5.4 Predictor Corrector Methods -- 5.5 Stability Analysis -- 5.6. System of Differential Equations -- 5.7 Shooting Methods -- 5.8 Finite Difference Methods -- 5.9 Problems and Solutions -- Appendix -- Bibliography -- Index.
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Chapter 3 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 -- 3.6 Bivariate Interpolation -- 3.7 Approximation -- 3.8 Problems and Solutions -- Chapter 4 Differentiation and Integration -- 4.1 Introduction -- 4.2 Numerical Differentiation -- 4.3 Extrapolation Methods -- 4.4 Partial Differentiation -- 4.5 Optimum Choice of Step Length -- 4.6 Numerical Integration -- 4.7 Newton-Cotes Integration Methods -- 4.8 Gaussian Integration Methods.
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| Abstract
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About the Book: Is an outline series containing brief text of numerical solution of transcendental and polynomial equations, system of linear algebraic equations and eigenvalue problems, interpolation and approximation, differentiation and integration, ordinary differential equations and complete solutions to about 300 problems. Most of these problems are given as unsolved problems in the authors earlier book. User friendly Turbo Pascal programs for commonly used numerical methods are given in the Appendix. This book can be used as a text/help book both by teachers and students. Contents.
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| Subject
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Numerical analysis, Problems, exercises, etc.
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| Subject
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Numerical analysis.
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| Dewey Classification
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518519.4076
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| LC Classification
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QA297.3.J35 2004eb
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