8 citations · 20 across the 7 of their papers we have counts for
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Long time -stability of fast L2-1 method on general nonuniform meshes for subdiffusion equations
Chaoyu Quan, Xu Wu, Jiang Yang
In this work, the global-in-time -stability of a fast L2-1 method on general nonuniform meshes is studied for subdiffusion equations, where the convolution kernel in the C…
Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation
Zhaohui Fu, Tao Tang, Jiang Yang
It is difficult to design high order numerical schemes which could preserve both the maximum bound property (MBP) and energy dissipation law for certain phase field equations. Stro…
Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators
Jiang Yang, Zhaoming Yuan, Zhi Zhou
The aim of this paper is to analyze the robust convergence of a class of parareal algorithms for solving parabolic problems. The coarse propagator is fixed to the backward Euler me…
A Local Deep Learning Method for Solving High Order Partial Differential Equations
Quanhui Zhu, Jiang Yang
At present, deep learning based methods are being employed to resolve the computational challenges of high-dimensional partial differential equations (PDEs). But the computation of…
Arbitrarily High-order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen-Cahn Equations
Jiang Yang, Zhaoming Yuan, Zhi Zhou
We develop and analyze a class of maximum bound preserving schemes for approximately solving Allen--Cahn equations. We apply a th-order single-step scheme in time (where the non…
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
Lili Ju, Xiao Li, Zhonghua Qiao +1
A large class of semilinear parabolic equations satisfy the maximum bound principle (MBP) in the sense that the time-dependent solution preserves for any time a uniform pointwise b…