A new Legendre polynomial-based approach for non-autonomous linear ODEs

S Pozza, N Van Buggenhout - arXiv preprint arXiv:2303.11284, 2023 - arxiv.org
We introduce a new method with spectral accuracy to solve linear non-autonomous ordinary
differential equations (ODEs) of the kind $\frac {d}{dt}\tilde {u}(t)=\tilde {f}(t)\tilde {u}(t) …

Best polynomial approximation for non-autonomous linear ODEs in the⋆-product framework

S Pozza - Proceedings of the Conference Algoritmy, 2024 - iam.fmph.uniba.sk
We present the first formulation of the optimal polynomial approximation of the solution of
linear non-autonomous systems of ODEs in the framework of the so-called*-product. This …

Best polynomial approximation for non-autonomous linear ODEs in the -product framework

S Pozza - arXiv preprint arXiv:2404.19645, 2024 - arxiv.org
We present the first formulation of the optimal polynomial approximation of the solution of
linear non-autonomous systems of ODEs in the framework of the so-called $\star $-product …

Algebraic Walk Theory

PL Giscard - 2023 - hal.science
While graph theory is a well established field of research in mathematics, there is no
dedicated theory for graph walks. In the present work we show that such a theory is not only …