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Numerical Analysis (Code-09050503)

S.No. Topic Domain Hours as per UGC
1 ·         Finite difference operators and their relations Must know 10
·         Finiding the missing terms and effect of error in a difference tabular values
·         Interpolation with equal intervals: Newton’s forward and Newton’s backward interpolation formulae
·         Interpolation with unequal intervals: Newton’s divided difference
·         Lagrange’s interpolation formulae
·         Hermite formula
2 ·         Central Differences: Gauss forward and Gauss’s backward interpolation formulae Must know 15
·         Sterling, Bessel Formula
·         Probability distribution of random variables
·         Binomial distribution
·         Poisson’s distribution
·         Normal distribution: Mean, Variance and Fitting
3 ·         Numerical differentiation: Derivative of a function using interpolation formulae as studied in section-I &II Must know 12
·         Eigen value Problems: Power method, Jacobi’s method
·         Given’s method, House Holder’s method
·         QR method, Lanczos method
4 ·         Numerical integration: Newton’s Cote’s Quadrature formula Must know 14
·         Trapezoidal rule, Simpon’s one-third and three-eigth rule
·         Chebyehev formula, Gauss Quadratic formula
·         Numerical solution of ODEs: Single-step methods-Picard’s method, Taylor’s series method
·         Euler’s method, Runge-Kutta method
·         Multiple step methods, Predictor-corrector metho
·         Modified Euler’s method
·         Milne-Simpson’s method

 

Books Recommended;

  1. Babu Ram: Numerical methods Pearson Publications.
  2. S.Gupta , Elements of Numerical Analysis, Macmillan’s India 2010
  3. K.Jain, S.R.K. Lyengar, R.K. Jain: Numerical methods, Problems ans Solutions, New Age International(P) Ltd., 1996
  4. K.Jain, S.R.K. Lyengar, R.K. Jain: Numerical methods for Scientific and Engineering Computation , New Age International(P) Ltd., 1999
  5. E. Froberg: Introduction to Numerical Analysis (2nd edition )
  6. Y. Rubnistein: Simulation and Monte carlo Methods, John Wiley, 1981.
  7. Melvin J. Marron: Numerical Analysis- A Practical approach ,Macmillan Publishing Co., Inc., New York
  8. Computer Oriented Numerical methods, Printic Hall of India Pvt. Ltd.
  9. Brian bradie, A Friendly : Introduction to of Numerical Analysis Pearsons education India
  10. F. Gerlad and P.O. Wheatley, Applied Numerical Analysis, Pearsons education India.
  11. Uri M. Ascher And Chen. Greif, A First course in Numerical methods, 7th, PHI Learning Private Limited 2013.
  12. John H. Mathews and Kurtis D. Fink, Numerical methods using MATLAB, 4th, PHI Learning Private Limited 2012
Admissions Open 2019-20