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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.NA2025
Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
Lun Ji, Xiaofei Zhao
In this work, we consider the convergence analysis of time-splitting schemes for the nonlinear Klein--Gordon/wave equation under rough initial data. The optimal error bounds of the…