A splitting method that composes the exact Benjamin-Ono flow with a linear perturbation step converges at first order in H^s for initial data in H^{s+1}, and its ILW variant converges to the Benjamin-Ono solution in the deep-water limit.
Alama Bronsard,A symmetric low-regularity integrator for the nonlinear Schrödinger equation, IMA Journal of Numerical Analysis,44:3648–3682, (2024)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NA 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
A splitting method that composes the exact Benjamin-Ono flow with a linear perturbation step converges at first order in H^s for initial data in H^{s+1}, and its ILW variant converges to the Benjamin-Ono solution in the deep-water limit.