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Lecture
Curve Fitting: Polynomial Interpolation
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Piecewise Polynomial Interpolation: Splines
Covers piecewise polynomial interpolation with splines, focusing on Lagrange interpolation with Chebyshev nodes and error convergence.
Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Polynomial Interpolation: Error and Definition
Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.
Numerical Integration: Lagrange Interpolation, Simpson Rules
Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.
Numerical Analysis: Polynomial Interpolation Techniques
Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.
Systems of Non-linear Equations, Polynomial Interpolation
Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.
Signal Reconstruction: Sampling Theorem 2
Explores signal reconstruction techniques, including polynomial interpolation challenges and the importance of interpolation functions.
Interpolation de Lagrange: General Case
Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.
Interpolation of a Continuous Function
Explores the interpolation of a continuous function by a polynomial.
Lagrange Interpolation: Polynomial Construction and Definite Integral Introduction
Explores Lagrange interpolation for polynomial construction and introduces the definite integral.