132 citations · 497 across the 66 of their papers we have counts for
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Analysis of adaptive BDF2 scheme for diffusion equations
Hong-lin Liao, Zhimin Zhang
The variable two-step backward differentiation formula (BDF2) is revisited via a new theoretical framework using the positive semi-definiteness of BDF2 convolution kernels and a cl…
Finite element methods based on two families of second-order numerical formulas for the fractional Cable model with smooth solutions
Baoli Yin, Yang Liu, Hong Li +1
We apply two families of novel fractional -methods, the FBT- and FBN- methods developed by the authors in previous work, to the fractional Cable model, in which the time d…
Two-parameter localization and related phase transition for a Schrödinger operator in balls and spherical shells
Chen Jia, Zhimin Zhang, Lewei Zhao
Here we investigate the two-parameter high-frequency localization for the eigenfunctions of a Schrödinger operator with a singular inverse square potential in high-dimensional ball…
The unified theory of shifted convolution quadrature for fractional calculus
Yang Liu, Baoli Yin, Hong Li +1
The convolution quadrature theory is a systematic approach to analyse the approximation of the Riemann-Liouville fractional operator at node . In this paper, we develo…
Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations
BaoLi Yin, Yang Liu, Hong Li +1
In this article, we introduce two families of novel fractional -methods by constructing some new generating functions to discretize the Riemann-Liouville fractional calculus ope…