Ma214 03

Summary

This lecture discusses the errors that occur in machine arithmetic. This lecture gives an introduction to the course. We learn about the closed and open types of Newton-Cotes formulae for numerical integration. The Trapezoidal and Simpson's ... This lecture introduces the bisection method to find the roots of equations in one variable. We discuss the Runge-Kutta methods of orders This lecture initiates the discussion on Runge-Kutta methods. We initiate the discussion on numerical integration by discussing the trapezoidal and Simpson's rules. We discuss the Gaußian quadrature methods in this lecture. In this lecture, we study the fixed point iteration method to find the roots of equations in one variable. We begin the theme on interpolation. Here, we give the method to construct the Lagrange polynomials interpolating a function at ... We discuss the adaptive quadrature methods in this lecture. We continue studying Hermite polynomials by studying the corresponding error and a way of constructing them using the divided ...