MTM204

MTM 204 : Numerical Analysis 2 credits

1. Solution of equation in one variable: Bisection algorithm, Method of false position. Fixed point iteration, Newton-Raphson method, Error Analysis for iterative method, Acceleration of convergence.

2. Interpolation and polynomial approximation: Taylor polynomials, Interpolation and Lagrange polynomial, Iterated interpolation, Extrapolation.

3. Differentiation and Integration: Numerical differentiation, Richardson’s extrapolation, Elements of Numerical Integration, Adaptive quadrature method, Romberg’s integration, Gaussian quadrature.

4. Solutions of linear systems: Gaussian elimination and backward substitution, pivoting strategies, Matrix inversion; LU decomposition method.

Evaluation: Incourse Assessment 30 Marks. Final examination (Theory, 2 ½ hours). 70 Marks

Eight questions of equal value will be set, of which any five are to be answered.

References :

1. R.L. Burden & J.D. Faires, Numerical Analysis.

2. S S Sastry , Introductory methods of numerical analysis

3. M.A.Celia & W.G. Gray,Numerical Methods for Differential Equations.

4. L.W. Johson & R.D. Riess,Numerical Analysis.