3 papers
math.NA2026
Explicit Fourier Integrator for the Periodic dNLS via Gauge Transformation: Low-Regularity Estimates in Discrete Bourgain Spaces
Lun Ji, Hang Li, Alexander Ostermann +1
The derivative nonlinear Schrödinger equation is a fundamental model for the propagation of nonlinear dispersive waves in, for example, plasma physics and nonlinear optics. In this…
math.NA2025
Low-regularity error estimates of a filtered Lie-Trotter splitting scheme for the Zakharov system in arbitrary dimensions
Lun Ji, Hang Li, Chunmei Su
In this paper, we establish error estimates for a fully discrete, filtered Lie splitting scheme applied directly to the Zakharov system -- a model whose solutions may exhibit extre…
math.NA2024
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
Lun Ji, Hang Li, Alexander Ostermann +1
We investigate a filtered Lie-Trotter splitting scheme for the ``good" Boussinesq equation and derive an error estimate for initial data with very low regularity. Through the use o…