Lectures related to Hyperbolic Problems: Transport Equation

Numerical Methods for Schrödinger Equation

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

Numerical Derivation: Formulas and Approaches

Covers the numerical approach to derivative calculation, focusing on formulas and methods such as fine differences.

Explicit Stabilised Methods: Applications to Bayesian Inverse Problems

Explores explicit stabilised Runge-Kutta methods and their application to Bayesian inverse problems, covering optimization, sampling, and numerical experiments.

Numerical Analysis: Introduction to Computational Methods

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Explicit RK Methods

Explains explicit Runge-Kutta methods up to order 4 and conditions for method's order.

Thomas algorithm, accuracy of direct methods

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

Nonlinear Systems: Seeking Solutions

Explores the search for solutions in nonlinear systems through various methods and techniques.