Numerical Methods

Estimation, round-off and truncation error calculations. Solving non-linear algebraic equations with the help of root finding methods like Bisection Method, Newton-Raphson Method etc. Solution of linear algebraic equations via Gauss elimination, LU decomposition, matrix inversion, Gauss-Seidel method etc. Regression and Interpolation. Numerical Integration and differentiation. Solution of ordinary differential equations encountered in initial/ boundary value problems via implicit and explicit methods. Solution of partial differential equations by numerical methods. Chemical engineering problems where the above mentioned numerical schemes are involved will be illustrated in details.