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math.NA2022★ 2 cited
An unfiltered low-regularity integrator for the KdV equation with solutions below
Buyang Li, Yifei Wu
This article is concerned with the construction and analysis of new time discretizations for the KdV equation on a torus for low-regularity solutions below . New harmonic anal…
math.NA2022
Optimal analysis of finite element methods for the stochastic Stokes equations
Buyang Li, Shu Ma, Weiwei Sun
Numerical analysis for the stochastic Stokes equations is still challenging even though it has been well done for the corresponding deterministic equations. In particular, the pre-…
math.NA2022
A second-order low-regularity correction of Lie splitting for the semilinear Klein--Gordon equation
Buyang Li, Katharina Schratz, Franco Zivcovich
The numerical approximation of the semilinear Klein--Gordon equation in the -dimensional space, with , is studied by analyzing the consistency errors in approximating t…