Finite Difference GridsExplains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
Runge-Kutta MethodsExplains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.
Computation & Algorithms ICovers the basics of algorithms, their historical significance, pseudo-code representation, and practical tasks in computational thinking.
Multistep methodsCovers multistep methods for solving differential equations, focusing on stability conditions and examples.
Homomorphic EncryptionIntroduces homomorphic encryption, enabling computation on encrypted data without decryption, covering security, applications, and practical aspects.
LLL AlgorithmCovers the LLL algorithm for lattice reduction and discusses Hermite's constant and Minkowski's theorem.
Explicit RK MethodsExplains explicit Runge-Kutta methods up to order 4 and conditions for method's order.