253 citations · 476 across the 75 of their papers we have counts for
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Computing rough solutions of the stochastic nonlinear wave equation
Jiachuan Cao, Buyang Li, Katharina Schratz
The regularity of solutions to the stochastic nonlinear wave equation plays a critical role in the accuracy and efficiency of numerical algorithms. Rough or discontinuous initial c…
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface
Genming Bai, Balázs Kovács, Buyang Li
In this paper, we prove that spatially semi-discrete evolving finite element method for parabolic equations on a given evolving hypersurface of arbitrary dimensions preserves the m…
Convergence of a moving window method for the Schrödinger equation with potential on
Arieh Iserles, Buyang Li, Fangyan Yao
We propose a novel framework, called moving window method, for solving the linear Schrödinger equation with an external potential in . This method employs a smooth cu…
Weak maximum principle of finite element methods for parabolic equations in polygonal domains
Genming Bai, Dmitriy Leykekhman, Buyang Li
The weak maximum principle of finite element methods for parabolic equations is proved for both semi-discretization in space and fully discrete methods with -step backward diffe…