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Approximation theory
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Related lectures (32)
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Lagrange Interpolation: Numerical Integration Techniques
Covers Lagrange interpolation and its application in numerical integration techniques, focusing on both non-composite and composite methods of quadrature.
Interpolation: Applications and Techniques
Explores interpolation applications in biological tissue and population census data analysis using the method of least squares.
Orthogonal Polynomials
Explores L^2 bases and orthogonal polynomials, discussing their properties and applications in polynomial approximation.
Taylor Polynomials Exercise
Covers the calculation of Taylor polynomials and error bounds for function approximation.
Taylor Polynomials: Correction Term
Explores the correction term in Taylor polynomials, showcasing its role in refining function approximations.
Polynomial Approximation: Orthonormal Basis and Projection
Explores polynomial approximation with orthonormal bases and orthogonal projection methods.
Approximation of Data
Covers the least squares method for approximating data and handling errors.
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.
Approximation of Functions by Taylor Polynomials
Explores the theory and application of Taylor polynomials for function approximation and limit calculations.
Spline Interpolation: Definition and Error Analysis
Explains spline interpolation and error analysis in approximating data points using piecewise linear and spline methods.
