Resonance-based schemes for dispersive equations via decorated trees

We introduce a numerical framework for dispersive equations embedding their underlying resonance structure into the discretisation. This will allow us to resolve the nonlinear oscillations of the partial differential equation (PDE) and to approximate with high-order accuracy a large class of equatio...

Full description

Bibliographic Details
Main Authors: Yvain Bruned, Katharina Schratz
Format: Article
Language:English
Published: Cambridge University Press 2022-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508621000135/type/journal_article