Abstract: Classical W-algebras W(g,O) are a family of Poisson vertex algebras associated to a simple Lie algebra g and a nilpotent orbit O. For (almost) every W(g,O) it is possible to construct ...
Abstract: In this talk I will present, in a very general way, some of my most recent works. I will show examples of how to use conformal geometry to prove some properties, including uniqueness, ...
Modified Patankar-Runge-Kutta (MPRK) schemes are numerical methods for the solution of positive and conservative production-destruction systems. They adapt explicit Runge-Kutta schemes in a way to ens...
Dynamic boundary conditions play an essential role in acurately modeling complex physical interactions on the boundary. In this lecture we explain the role of dynamic boundary conditions in modeling d...
Think of \begin{center} \( u_{tt} + 2au_t + Au = 0 \) \end{center} as a wave equation. Bounded solutions of this equation tend to solutions of the heat equation \begin{center} \( 2av_t + Av = 0. \) \e...
The Ensemble Kalman Filter (EnKF) belongs to the class of iterative particle filtering methods and can be used for solving control–to–observable inverse problems. In this context, the EnKF is known as...
In this talk we describe the influence of the initial data and the forcing terms on the regularity of the solutions to a class of evolution equations including the heat equation, linear and semilinear...
