MITACS Seminar Series on Mathematics of Computer Algebra and Analysis
Computing multisections of a given series solution to a linear differential operator
Frederic Chyzak, Project Algorithms, INRIA
Abstract: A natural problem when implementing algorithms for resummation theory is, given a series f solution to a linear ordinary differential equation with polynomial coefficients, to reconstruct a linear ODE satisfied by the sub-series obtained by keeping every r terms of f. We propose several methods and discuss how their outputs differ. Joint work with Moulay Barkatou and Michele Loday-Richaud.