Lectures related to Nonlinear Systems: Seeking Solutions

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.

Advanced Analysis II: Cauchy Problem Resolution

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Linear Algebra Basics

Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.

Transport of Pollutants: Numerical Analysis and Equations

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Inverse Monotonicity: Stability and Convergence

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