Description
Solution of Equations : Bisection, Secant, Regula Falsi, Newton’s Method, Roots of Polynomials.
Interpolation : Lagrange and Hermite Interpolation, Divided Differences, Difference Schemes, Interpolation Formulas using Difference.
Numerical Differentiation.
Numerical Quadrature : Newton-Cote’s Formulas, Gauss Quadrature Formulas, Chebychev’s Formulas.
Linear Equations : Direct Methods for Solving Systems of Linear Equations (Gauss Elimination, LU Decomposition, Cholesky Decomposition), Iterative Methods (Jacobi, Gauss-Seidel, Relaxation Methods).
The Algebraic Eigenvalue Problem : Jacobi’s Method, Givens’ Method, Householder’s Method, Power Method, QR Method, Lanczos’ Method.
Ordinary Differential Equations : Euler Method, Single-step Methods, Runge-Kutta’s Method, Multi-step Methods.
