Numerical Methods (OEC-IT601A)
6 units: Approximation in numerical computation, Interpolation, Numerical integration, Numerical solution of a system of linear equations, Numerical solution of Algebraic equation · L-T-P 3L/week.
Detailed syllabus
Unit 1: Approximation in numerical computation (2 hours)
Approximation in numerical computation: Truncation and rounding errors, Fixed and floatingpoint arithmetic, Propagation of errors
Unit 2: Interpolation (8 hours)
Interpolation: Newton forward/backward interpolation, Lagrange’s and Newton’s divided difference Interpolation.
Unit 3: Numerical integration (3 hours)
Numerical integration: Trapezoidal rule, Simpson’s 1/3 rule, Expression for corresponding error terms.
Unit 4: Numerical solution of a system of linear equations (8 hours)
Numerical solution of a system of linear equations: Gauss elimination method, Matrix inversion, LU Factorization method, Gauss-Seidel iterative method.
Unit 5: Numerical solution of Algebraic equation (3 hours)
Numerical solution of Algebraic equation: Bisection method, Regula-Falsi method, Newton- Raphson method.
Unit 6: Numerical solution of ordinary differential equation (2 hours)
Numerical solution of ordinary differential equation: Euler’s method, Runge-Kutta methods, PredictorCorrector methods and Finite Difference method.
Source: official document