Lectures related to Stochastic Numerical Methods for Many-Body Quantum Systems

Power Method Log in to Mediaspace to watch this video

Covers the Power Method for approximating the largest eigenvalue of a matrix.

Numerical Stability Analysis Log in to Mediaspace to watch this video

Covers the numerical stability analysis of iterative methods and discusses their impact on solution accuracy.

Richardson Method: Preconditioned Iterative Solvers Log in to Mediaspace to watch this video

Covers the Richardson method for solving linear systems with preconditioned iterative solvers and introduces the gradient method.

Higher Order Methods: Iterative Techniques Log in to Mediaspace to watch this video

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Eigenstate Thermalization Hypothesis Log in to Mediaspace to watch this video

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.