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Lecture
Convection-Diffusion Equations
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Interpolation de fonction
Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Numerical Analysis: Polynomial Interpolation Techniques
Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.
Polynomial Interpolation: Optimizing Error
Covers the optimization of error in polynomial interpolation, focusing on minimizing the error by strategically placing interpolation points.
Newton Method: Data Interpolation
Covers the Newton method for finding zeros of functions using data interpolation.
Polynomial Interpolation: Error and Definition
Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.
Approximation of Data
Covers the least squares method for approximating data and handling errors.
Newton Interpolation: Basics
Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.
Numerical Differentiation: Methods and Errors
Explores numerical differentiation methods and round-off errors in computer computations.
Numerical analysis
Covers advanced numerical analysis topics including deep neural networks and optimization methods.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.