numerical-methods-lab

Numerical Methods Lab (IMM5002)
Department of Mathematics
Birla Institute of Technology, Mesra.

Lab-1

1. Approximating the value of a polynomial at a particular value using bisection method.

Lab-2

1. Approximating the value of a polynomial at a particular value using Regula Falsi method.
2. Approximating the value of a polynomial at a particular value using Newton Raphson method.

Lab-3

1. Check for the speed of convergence of functions to approximate a polynomial.
2. Approximating using Fixed Point Iteration Method.

Lab-4

1. Approximate all the real zeros of polynomial using Newton-Raphson and Secant Method.
2. Approximating using Modified Newton Raphson Method.

Lab-5

1. Using Lagrange's Interpolation formula to estimate the value of y using a given table.
2. Using Newton's Interpolation formula to estimate the same. Newton Interpolation Method.

Lab-6

1. Using Hermite Polynomial to approximate the value of a function.

Lab-7

1. Calculate value of pi using integral approximation and comparing the three methods trapezoidal, simpson's 1/3rd rule, & simpson's 3/8th rule.
2. Simpson's 1/3rd rule with a certain accuracy/finding number of intervals to reach a certain accuracy.