Computational Quantum PhysicsExplores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.
Finite Difference GridsExplains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
Finite Differences MethodCovers the finite differences method for approximating solutions to differential equations through discretization and linear systems.
Rayleigh-Benard Eigenvalue ProblemExplores the Rayleigh-Benard eigenvalue problem, finite difference schemes, boundary conditions, spatial growth, nonlinear lubrication equations, and Marangoni convection patterns.
Finite Differences: Chapter 2Covers formulas and their applications in finite differences, focusing on error minimization and variable dependency.
Martingale InequalitiesExplores Hoeffding's and Azuma's inequalities, emphasizing finite difference martingales and exponential bounds.