Interpolation de fonctionExplores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
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.
Frequency SamplingExplores the frequency sampling method to approximate ideal filters, useful for quick prototyping but lacking fine control over errors.
Signal Sampling: InterpolationExplores signal sampling theory, interpolation techniques, and the importance of the sampling theorem in signal processing.
Deep Learning Modus OperandiExplores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.
Image Processing IIExplores image interpolation, splines, wavelets, and geometric transformations in image processing.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.
Finite Element AnalysisCovers the fundamentals of finite element analysis, including traction and interpolation functions.