Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.
Optimization MethodsCovers unconstrained and constrained optimization, optimal control, neural networks, and global optimization methods.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.
Nonlinear OptimizationCovers line search, Newton's method, BFGS, and conjugate gradient in nonlinear optimization.
Runge Kutta MethodCovers the Runge Kutta method and its application to optimal control and neural networks.
Finite Element ModelingCovers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.
Finite Element MethodCovers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Turbulence: Numerical Flow SimulationExplores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Water Consumption in GenevaExplores water consumption data in Geneva, including charts on consumption and losses, available datasets, and data processing phases.
