Lectures related to Numerical Flow Simulation: Methods and Applications

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Explores multiphysics coupling, covering one-way, two-way coupling, and fully coupled vs. segregated solvers.

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Covers Euler and Crank-Nicolson methods for solving differential equations.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.