STUDY - Numerical Computing
Note : Emphasis is on computational methods
Errors in Computer Arithmetic, Normalization.
Bisection, Falsiposition and Newton-Raphson methods for solution of nonlinear equations. Errors in the
solutions, Convergence of Solutions.
Gauss, Gauss-Siedel and Iterative methods for system of linear equations. Ill conditioned system, Pivotal
Condensation, Matrix Inversion, Eigen-values, Eigen-vector, Diagonalization of Real Symmetric Matrix by
Introduction to Finite Differences.
Polynomial Interpolation using Newton's and Lagrange's formulae.
STUDY - Numerical Differentiation. Numerical Integration :
Trapezoidal Rule, Simpson's Rule, Weddle's Rule, Gauss
Quadrature Formula. Error in numerical Integration.
STUDY - Numerical Solution of differential Equations:
Picards Method, Taylor’s Series Method, Euler’s Method,
Modified Euler’s Method, Runge-Kutta Method, Predictor-Corrector Method.