129 citations · 316 across the 45 of their papers we have counts for
4 papers · 1 filter
Algebraic deformation for (S)PDEs
Yvain Bruned, Dominique Manchon
We introduce a new algebraic framework based on the deformation of pre-Lie products. This allows us to provide a new construction of the algebraic objects at play in Regularity Str…
Renormalisation from non-geometric to geometric rough paths
Yvain Bruned
The Hairer-Kelly map has been introduced for establishing a correspondence between geometric and non-geometric rough paths. Recently, a new renormalisation on rough paths has been…
Bogoliubov type recursions for renormalisation in regularity structures
Yvain Bruned, Kurusch Ebrahimi-Fard
Hairer's regularity structures transformed the solution theory of singular stochastic partial differential equations. The notions of positive and negative renormalisation are centr…
Resonance based schemes for dispersive equations via decorated trees
Yvain Bruned, Katharina Schratz
We introduce a numerical framework for dispersive equations embedding their underlying resonance structure into the discretisation. This will allow us to resolve the nonlinear osci…