76 citations · 88 across the 11 of their papers we have counts for
12 papers
A Pick function approach for designing energy-decay preserving schemes of the Maxwell equations in Havriliak-Negami dispersive media
Baoli Yin, Guoyu Zhang, Yang Liu +1
This work proposes a novel approach for designing high-order energy-decaying schemes for Maxwell's equations in Havriliak-Negami dispersive media. It is shown that conventional con…
Analysis of discrete energy-decay preserving schemes for Maxwell's equations in Cole-Cole dispersive medium
Guoyu Zhang, Ziming Dong, Baoli Yin +2
This work investigates the design and analysis of energy-decay preserving numerical schemes for Maxwell's equations in a Cole-Cole (C-C) dispersive medium. A continuous energy-deca…
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms
Baoli Yin, Guoyu Zhang, Yang Liu +1
The convolution quadrature method originally developed for the Riemann-Liouville fractional calculus is extended in this work to the Hadamard fractional calculus by using the expon…
Sharp error analysis for averaging Crank-Nicolson schemes with corrections for subdiffusion with nonsmooth solutions
Baoli Yin, Yang Liu, Hong Li
Thanks to the singularity of the solution of linear subdiffusion problems, most time-stepping methods on uniform meshes can result in accuracy where denotes the time ste…
A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
Guoyu Zhang, Chengming Huang, Anatoly A. Alikhanov +1
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional Allen-Cahn (tFAC) equation. Some esse…
Construction of high-order robust theta-methods with applications in anomalous models
Baoli Yin, Guoyu Zhang, Yang Liu +1
A general conversion strategy by involving a shifted parameter is proposed to construct high-order accuracy difference formulas for fractional calculus operators. By converting…
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
Baoli Yin, Yang Liu, Hong Li +1
This article devotes to developing robust but simple correction techniques and efficient algorithms for a class of second-order time stepping methods, namely the shifted fractional…
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…
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…
Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
Baoli Yin, Yang Liu, Hong Li +1
In this article, a fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme, which aims at solving nonlinear problems quickly, is considered to numerically solve the…
TGMFE Algorithm Combined with Some Time Second-Order Schemes for Nonlinear Fourth-Order Reaction Diffusion System
Baoli Yin, Yang Liu, Hong Li +2
In this article, a two-grid mixed finite element (TGMFE) method with some second-order time discrete schemes is developed for numerically solving nonlinear fourth-order reaction di…