[HTML][HTML] A Fréchet Lie group on distributions
M Ryckebusch, PL Giscard - Journal of Mathematical Analysis and …, 2024 - Elsevier
Solving non-autonomous systems of ordinary differential equations leads to consider a new
product of bivariate distributions called the⋆ product in the literature. This product, distinct …
product of bivariate distributions called the⋆ product in the literature. This product, distinct …
A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra
S Pozza - Linear and Multilinear Algebra, 2024 - Taylor & Francis
A new expression for solving homogeneous linear ODEs based on a generalization of the
Volterra composition was recently introduced. In this work, we extend such an expression …
Volterra composition was recently introduced. In this work, we extend such an expression …
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 …
linear non-autonomous systems of ODEs in the framework of the so-called*-product. This …
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 …
dedicated theory for graph walks. In the present work we show that such a theory is not only …