'L2-Polynomial Approximation' Video Lecture

L2-Polynomial Approximation

  • Course: Elementary Numerical Analysis
  • Discipline: Mathematics
  • Faculty: Prof. Rekha P. Kulkarni
  • Institute: IIT Bombay

    • 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
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