The talk starts with an overview of the so-called symplectic methods used for numerical simulations of reversible, Hamiltonian, dynamical systems, of their advantages, and also of two procedures called Backward Error Analysis and Shadowing. Then the need for the extension of these techniques is demonstrated on irreversible physical systems formulated in a consistent thermodynamical framework, yielding ordinary differential equations and boundary-value problems, the numerical solution of which is often problematic yet necessary. Finally, the talk presents successful implementations of these ideas, in which the thermodynamical structure is shown to be advantageous.

Információ: math.bme.hu/farkas_seminar