Deep Learning Modus OperandiExplores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.
Signal Sampling: InterpolationExplores signal sampling theory, interpolation techniques, and the importance of the sampling theorem in signal processing.
Convection-Diffusion EquationsExplores convection-diffusion equations, focusing on Poincare constant, interpolation error, singular perturbations, and boundary conditions.
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.