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Numerical Methods Problems and Solutions by Mahinder Kumar Jain, S.R.K. Iyengar and R.K. Jain



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Numerical Methods Problems and Solutions written by M.K. Jain , S.R.K. Iyengar and R.K. Jain Best for the students of various universities, Engineering colleges and others. The following have made the new 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.

Numerical Methods Problems and Solutions written by M.K. Jain , S.R.K. Iyengar and R.K. Jain cover the following topics.

  • 1. Transscendental 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

  • 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

  • 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

  • 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
    C-8—N-NUM\TITLE.pm5 5
    4.7 Newton-Cotes integration methods
    4.8 Gaussian integration methods
    4.9 Composite integration methods
    4.10 Romberg integration
    4.11 Double integration
    4.12 Problems and solutions

  • 5. Numeraical Solution of Ordinary Differentail 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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