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Last Updated: October 22, 2026
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We continue studying the divided differences in this lecture. We start studying Hermite polynomials from this lecture. This lecture discusses Neville's method of obtaining interpolating polynomials and gives an introduction to divided differences. We initiate the numerical differentiation. We discuss the LU and PLU decompositions of invertible matrices. We complete the discussion on numerical differentiation by discussing various methods as well as the corresponding errors. We discuss the Runge-Kutta methods of orders 3 and 4. We also compare various Runge-Kutta methods. In this lecture, we study the fixed point iteration method to find the roots of equations in one variable.
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