'L2-Polynomial Approximation' Video Lecture

L2-Polynomial Approximation

Course: Elementary Numerical Analysis

Faculty: Prof. Rekha P. Kulkarni

Institute: IIT Bombay

L2-Polynomial Approximation - Click on the Video Link shown below to play the video on Youtube. Browse through Elementary Numerical Analysis (Mathematics) Video Lectures by Prof. Rekha P. Kulkarni from IIT Bombay through NPTEL.

NEXT LECTURE >> L3-Interpolating Polynomials

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Course Video Lectures L1- Introduction L2-Polynomial Approximation L3-Interpolating Polynomials L4-Properties of Divided Difference L5-Error in the Interpolating polynomial L6-Cubic Hermite Interpolation L7-Piecewise Polynomial Approximation L8-Cubic Spline Interpolation L9-Tutorial 1 L10-Numerical Integration: Basic Rules L11-Composite Numerical Integration L12-Gauss 2-point Rule: Construction L13-Gauss 2-point Rule: Error L14-Convergence of Gaussian Integration L15-Tutorial 2 L16-Numerical Differentiation L17-Gauss Elimination L18-L U decomposition L19-Cholesky decomposition L20-Gauss Elimination with partial pivoting L21-Vector and Matrix Norms L22-Perturbed Linear Systems L23-Ill-conditioned Linear System L24-Tutorial 3 L25-Effect of Small Pivots L26-Solution of Non-linear Equations L27-Quadratic Convergence of Newton's Method L28-Jacobi Method L29-Gauss-Seidel Method L30-Tutorial 4 L31-Initial Value Problem L32-Multi-step Methods L33-Predictor-Corrector Formulae L34-Boundary Value Problems L35-Eigenvalues and Eigenvectors L36-Spectral Theorem L37-Power Method L38-Inverse Power Method L39-Q R Decomposition L40-Q R Method