Interpolation de fonctionExplores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Lagrange InterpolationIntroduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.
Image Processing IIExplores image interpolation, splines, wavelets, and geometric transformations in image processing.
Deep Learning Modus OperandiExplores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.
Finite Element MethodCovers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.
Finite Element ModelingCovers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.
Finite Element AnalysisCovers the fundamentals of finite element analysis and the application of constitutive laws.