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