129 citations · 316 across the 45 of their papers we have counts for
5 papers · 1 filter
Diagram-free approach for convergence of tree-based models in Regularity Structures
Yvain Bruned, Usama Nadeem
In this work, we translate at the level of decorated trees some of the crucial arguments which have been used in arXiv:2112.10739 for proposing a diagram-free approach for the conv…
Post-Lie algebras in Regularity Structures
Yvain Bruned, Foivos Katsetsiadis
In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra. We show…
Convergence of space-discretised gKPZ via Regularity Structures
Yvain Bruned, Usama Nadeem
In this work, we show a convergence result for the discrete formulation of the generalised KPZ equation ,…
Approximations of dispersive PDEs in the presence of low-regularity randomness
Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
We introduce a new class of numerical schemes which allow for low regularity approximations to the expectation , where denotes the -th Four…
Low regularity integrators via decorated trees
Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
We introduce a general framework of low regularity integrators which allows us to approximate the time dynamics of a large class of equations, including parabolic and hyperbolic pr…