Quasi-newton optimizationCovers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.
Runge Kutta MethodCovers the Runge Kutta method and its application to optimal control and neural networks.
Nonlinear OptimizationCovers line search, Newton's method, BFGS, and conjugate gradient in nonlinear optimization.
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.
