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Related lectures (31)
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Splines: Least-Squares Method
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Polynomial Interpolation: Optimizing Error
Covers the optimization of error in polynomial interpolation, focusing on minimizing the error by strategically placing interpolation points.
Polynomial Interpolation: Curve Fitting
Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.
Interpolation de Lagrange
Covers Lagrange interpolation, focusing on constructing polynomials that pass through given points.
Interpolation: Base de Lagrange
Explains Lagrange interpolation, constructing polynomials passing through given points with explicit formulas and calculations.
Numerical Integration: Basics
Covers digital integration, interpolation polynomials, and integration formulas with error analysis.
Numerical Integration: Lagrange Interpolation, Simpson Rules
Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.
Quadrature Formulas: Newton-Cotes, Lagrange Polynomials, Simpson Rule
Covers quadrature formulas, Lagrange polynomials, and the Simpson rule for accurate integration.
Interpolatory Quadrature Formulas
Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.
Nonlinear Equations and Polynomial Interpolation
Introduces nonlinear equations and polynomial interpolation for curve fitting.