Precize Numerical Methods (Pbi U)

Description

Bisection Method, Regula-falsi method, Sectant method, Fixed – point iteration and Newton-Raphson method and convergence of Secant, Newton- Raphson method and fixed-point iteration. Pivoting strategies, Partial Pivoting, Gauss-Elimination, Gauss Jordan and Triangularisation method, Jacobi Method, Gauss Seidel Method.

Interpolation : Finite differences, Divided differences, Newton Gregory Forward and Backward formula, Lagrange’s formula, Newton’s formulae, Central Differences, Stirling, Bessel’s and Everett’s formulae, Error in linear and quadratic interpolation.