Optimal Control TheoryIntroduces optimal control theory, covering models, discretization, measurements, Lagrangian, KKT conditions, and invertibility.
Numerical analysisCovers advanced numerical analysis topics including deep neural networks and optimization methods.
Hyperbolic Transport EquationsExplores hyperbolic transport equations and numerical schemes, emphasizing higher-order methods and characteristics for exact solutions.
Elliptic ProblemsCovers the concept of elliptic problems and their applications in various scenarios.
Implicit Euler SchemeExplains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.
Explicit RK MethodsExplains explicit Runge-Kutta methods up to order 4 and conditions for method's order.
