Course Details
Subject {L-T-P / C} : PH6009 : Numerical Analysis in Computer Programming { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Ananta Charan Pradhan
Syllabus
Uncertainties in Measurements, Probability Distributions (Binomial, Poisson, Gaussian, and Lorentzian Distribution), Error Analysis, Estimates of Mean and Errors, Monte Carlo Techniques, Least Squares Fit to a Straight Line, and to a Polynomial, Direct Application of the Maximum Likelihood Method, Numerical Methods (Polynomial Interpolation, Differentiation, Integration, Roots of Nonlinear equation, Data smoothing, Solution of Simultaneous Equations by Determinants, Matrix Inversion, Solving differential equations by Euler and Runge Kutta methods). Programmings with Fortran 90/95.
Course Objectives
- To provide an introduction to the techniques of data reduction and error analysis used for the research in physical sciences.
Course Outcomes
Students will gain the theory of data reduction and error Analysis with enough derivations.
Essential Reading
- Philip Bevington and D. Keith Robinson, Data Reduction and Error Analysis for the Physical Sciences., McGraw Hill Education (India) Private Limited , 3rd Edition, 2015
- Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, McGraw Hill Education (India) Private Limited , 6th Edition, 2010
Supplementary Reading
- V. Rajaraman, Computer Programming in Fortran 90 and 95, Prentice Hall of India private Limited , 7th Edition, 2006
- H. M. Antia, Numerical Methods for Scientists and Engineers, Hindustan Book Agency (India) , 3rd Edition, 2012