129 citations · 316 across the 45 of their papers we have counts for
7 papers · 1 filter
Resonance based schemes for SPDEs
Jacob Armstrong-Goodall, Yvain Bruned
Resonance based numerical schemes are those in which cancellations in the oscillatory components of the equation are taken advantage of in order to reduce the regularity required o…
Novikov algebras and multi-indices in regularity structures
Yvain Bruned, Vladimir Dotsenko
In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recen…
Composition and substitution of Regularity Structures B-series
Yvain Bruned
In this work, we introduce Regularity Structures B-series which are used for describing solutions of singular stochastic partial differential equations (SPDEs). We define compositi…
A top-down approach to algebraic renormalization in regularity structures based on multi-indices
Yvain Bruned, Pablo Linares
We provide an algebraic framework to describe renormalization in regularity structures based on multi-indices for a large class of semi-linear stochastic PDEs. This framework is ``…
Symmetric resonance based integrators and forest formulae
Yvonne Alama Bronsard, Yvain Bruned, Georg Maierhofer +1
In the present work we introduce a unified framework that allows for the very first systematic construction of symmetric resonance-based integrators to approximate a wide class of…
Random models for singular SPDEs
I. Bailleul, Y. Bruned
We give a proof of the convergence of the BHZ renormalized model associated with the generalized (KPZ) equation that does not require the full strength of the BPHZ renormalisation.…
Geometric embedding for regularity structures
Yvain Bruned, Foivos Katsetsiadis
In this paper, we show how one can view certain models in regularity structures as some form of geometric rough paths. This is performed by identifying the deformed Butcher-Connes-…