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math.AP2025
Birkhoff normal form via decorated trees
Jacob Armstrong-Goodall, Yvain Bruned
We derive an explicit tree based ansatz for the Birkhoff normal form up to any order in the context of Hamiltonian PDEs. To do so we make use of a tree based representation of iter…
math.AP2024
Low regularity symplectic schemes for stochastic NLS
Jacob Armstrong-Goodall, Yvain Bruned
We introduce a class of symplectic resonance based schemes for Schrödinger's equation in dimension one, building on the work in [1] wherein resonance based numerical schemes were d…