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.
Convection-Diffusion EquationsExplores convection-diffusion equations, focusing on Poincare constant, interpolation error, singular perturbations, and boundary conditions.
Deep Learning Modus OperandiExplores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.
