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Lecture
Polynomial Interpolation: Lagrange Interpolation
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Nonlinear Equations: Interpolation and Error Analysis
Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.
Numerical Analysis: Polynomial Interpolation Techniques
Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.
Interpolation of a Continuous Function
Explores the interpolation of a continuous function by a polynomial.
Interpolation de Lagrange: General Case
Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.
Numerical Integration: Basics
Covers digital integration, interpolation polynomials, and integration formulas with error analysis.
Vandermonde Matrix: Polynomial Interpolation
Explains how to find the polynomial of interpolation using the Vandermonde matrix.
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Numerical Differentiation: Methods and Errors
Explores numerical differentiation methods and round-off errors in computer computations.
Polynomial Interpolation: Error Analysis, Stability
Covers polynomial interpolation, error analysis, stability, and piecewise linear interpolation using equally distributed nodes.
Least-Squares Approximation
Covers polynomial interpolation and least-squares approximations to minimize errors.