132 citations · 497 across the 66 of their papers we have counts for
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Sharp -norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
Jincheng Ren, Hong-lin Liao, Jiwei Zhang +1
Due to the intrinsically initial singularity of solution and the discrete convolution form in numerical Caputo derivatives, the traditional -norm analysis (corresponding to th…
An (curl)-conforming finite element in 2D and its applications to the quad-curl problem
Qian Zhang, Lixiu Wang, Zhimin Zhang
In this paper, we first construct the (curl)-conforming finite elements both on a rectangle and a triangle. They possess some fascinating properties which have been proven by…
A linear finite element method for sixth order elliptic equations
Hailong Guo, Zhimin Zhang, Qingsong Zou
In this paper, we develop a straightforward linear finite element method for sixth-order elliptic equations. The basic idea is to use gradient recovery techniques to generate…
Superconvergence Points of Integer and Fractional Derivatives of Special Hermite Interpolations and Its Applications in Solving FDEs
Beichuan Deng, Jiwei Zhang, Zhimin Zhang
In this paper, we study convergence and superconvergence theory of integer and fractional derivatives of the one-point and the two-point Hermite interpolations. When considering th…
Ball Prolate Spheroidal Wave Functions In Arbitrary Dimensions
Jing Zhang, Huiyuan Li, Li-Lian Wang +1
In this paper, we introduce the prolate spheroidal wave functions (PSWFs) of real order on the unit ball in arbitrary dimension, termed as ball PSWFs. They are eigenfunction…