SE 357. Principles of Numerical Computation
(3 - 1 - 0 - 0 - 4)
Root find problem for transcendental and polynomial equations - methods and analysis. Interpolation: Lagrange, divided difference, finite difference, Hermite and Spline interpolation, Inverse interpolation. Approximation - Least squares and minimax approximation. Numerical differentiation. Numerical integration - Newton-Cotes and Gauss quadratures. Numerical methods (direct and iterative) for solving linear systems with error analysis. Eigen values and eigen vectors for linear algebraic systems. Numerical methods for initial value problems.
- REFERENCES:
- Numerical Analysis - an algorithmic approach - S.D. Conte & Carl de Boor..
- An Introduction to Numerical Analysis - A. Ralston & P. Rabinowitz.
- Concerned Department: Mathematics