Upcoming seminar: How to express the solution of an ODE as a linear system (in a suitable algebra) and exploit it for fast computation. – Stefano Pozza (Charles University – Univerzita Karlova)

Tuesday, Feb 13, 2024 15:00 — 16:00
Aula Mancini (Scuola Normale Superiore)


The solution of systems of non-autonomous linear ordinary differential equations is crucial in various applications, such as nuclear magnetic resonance spectroscopy. We introduced a new solution expression in terms of a generalization of the Volterra composition. Such an expression is linear in a particular algebraic structure of distributions, which can be mapped onto a subalgebra of infinite matrices.<br>

It is possible to exploit the new expression to devise fast numerical methods for linear non-autonomous ODEs. As a first example, we present a new method for the operator solution of the generalized Rosen-Zener model, a system of linear non-autonomous ODEs from quantum mechanics. The new method’s computing time scales linearly with the model’s size in the numerical experiments.

Ulteriori informazioni.

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