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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.
Interpolation de fonctionExplores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Finite Element AnalysisCovers the fundamentals of finite element analysis, including traction and interpolation functions.
Rigid DisplacementCovers the concept of rigid displacement and potential energy, emphasizing continuity between elements and the importance of conforming to the mesh.
Interpolation MethodsDiscusses deterministic interpolation methods, comparing global and local approaches for predicting spatial distributions.
Interpolation SpacesExplores interpolation spaces between Banach spaces and real interpolation spaces.