Seminario del 2025

Giugno
17
2025
Shannon Abbott
On a fixed point method for a discrete Painleve II equation
fisica matematica
Recently Van Assche (in J. Diff. Equ. Appl. 30, 465-474, 2024) showed the existence and uniqueness of a special solution of a discrete Painleve II equation, which arises in connection with certain orthogonal polynomials on the unit circle, and are expressed explicitly in terms of a ratio of modified Bessel functions. Here we consider a fixed point iteration on semi-infinite sequences of real numbers in the interval [−1, 1], which converges to this unique solution of discrete Painleve II, and provides an effective numerical scheme for computing these classical solutions.
organizzato da: Simonetta Abenda
nell'ambito del Progetto Dipartimento Fondi Budget Integrato 2024 di Dipartimento/Convegni del prof. Annamaria Montanari

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