CL 207	Computer Aided Numerical Methods	2-1-2-8
Syllabus: Introduction to Numerical Analysis & Applications; Solution of Simultaneous Linear Equations: direct and indirect methods; Solution of Non-Linear Equations: bracketing and open methods, System of non-linear equations, Roots of Polynomials; Linear and Nonlinear Regression. Interpolation: Direct Method, Newton's Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation; Approximation of Functions; Numerical Differentiation; Numerical Integration: Newton-Cotes Integration Formulas, Multi Segment and Composite Applications; Solution of Ordinary Differential Equations: Euler and Runge-Kutta Methods, Multistep Predictor-Corrector Methods, Differential Algebraic Equations; Boundary Value Problems: Overshooting & Finite Difference Method; Determination of Eigen Values and Eigen vectors; Partial Differential Equations: Elliptic Equations: Direct and Libenmann's method, Irregular Grids and Neumann Boundary Condition; 1D and 2D Parabolic Equations using Explicit, Implicit, Crank-Nicholson Method, and ADI Method; Hyperbolic Equations; Programming of numerical techniques on Computers. Text Books: S. C. Chapra and R. P. Canale, Numerical Methods for Engineers, McGraw-Hill Education, 2015 P. Ghosh, Numerical Methods with Computer Programs in C++, Prentice-Hall of India Private Limited, 2006 Reference Books: J. H. Mathews and K. D. Fink, Numerical Methods Using MATLAB, 4^th Edition, Pearson, 2004 S. C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, 3^rd Edition, 2012 P. Ghosh, Numerical, Symbolic and Statistical Computing for Chemical Engineers Using MATLAB, Prentice-Hall of India Private Limited, 2018 S. K. Gupta, Numerical Methods for Engineers, 3^rd Edition, New Age International, 2015. W. H. Press, S. A. Teukolsky, W. T. Vellerling and B. P. Flannery, Numerical recipes in FORTRAN: the art of scientific programming, Cambridge University Press, 1992