activity
20152025
most citedA Two-Grid Finite Element Approximation for A Nonlinear Time-Fractional Cable Equation

125 citations · 402 across the 16 of their papers we have counts for

collaborators

16 papers

math.NA2025

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…

math.NA2023

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…

math.NA2023

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…

astro-ph.CO2021★ 7 cited

Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum

Jiming Chen, Shamik Ghosh, Hao Liu +9

Constructing a fast and efficient estimator for the B-mode power spectrum of cosmic microwave background (CMB) is of critical importance for CMB science. For a general CMB survey,…

math.NA2021★ 1 cited

Finite Volume Element Methods for Two-Dimensional Time Fractional Reaction-Diffusion Equations on Triangular Grids

Zhichao Fang, Jie Zhao, Hong Li +1

In this paper, the time fractional reaction-diffusion equations with the Caputo fractional derivative are solved by using the classical -formula and the finite volume element (…

astro-ph.IM2021★ 22 cited

The design of the Ali CMB Polarization Telescope receiver

Maria Salatino, Jason E. Austermann, Keith L. Thompson +72

Ali CMB Polarization Telescope (AliCPT-1) is the first CMB degree-scale polarimeter to be deployed on the Tibetan plateau at 5,250m above sea level. AliCPT-1 is a 90/150 GHz 72 cm…

math.NA2020★ 1 cited

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…

math.NA2019

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…

math.NA2019

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…

math.NA2019★ 10 cited

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…

math.NA2018★ 76 cited

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…

astro-ph.IM2018★ 26 cited

Tibets Window on Primordial Gravitational Waves

Hong Li, Si-Yu Li, Yang Liu +2

As an essential part of China’s Gravitational Waves Program, the Ali CMB Polarization Telescope (AliCPT) is a ground-based experiment aiming at the Primordial Gravitational Waves…

astro-ph.CO2017★ 124 cited

Probing Primordial Gravitational Waves: Ali CMB Polarization Telescope

Hong Li, Si-Yu Li, Yang Liu +14

In this paper, we will give a general introduction to the project of Ali CMB Polarization Telescope (AliCPT), which is a Sino-US joint project led by the Institute of High Energy P…

astro-ph.IM2017★ 6 cited

Tibet's Ali: A New Window to Detect the CMB Polarization

Yong-Ping Li, Yang Liu, Si-Yu Li +2

The Cosmic Microwave Background (CMB) Polarization plays an important role in current cosmological studies. CMB B-mode polarization is the most effective probe to primordial gravit…

astro-ph.CO2015★ 4 cited

Cosmic Reionization Study : Principle Component Analysis After Planck

Yang Liu, Hong Li, Si-Yu Li +2

The study of reionization history plays an important role in understanding the evolution of our universe. It is commonly believed that the intergalactic medium (IGM) in our univers…

math.NA2015★ 125 cited

A Two-Grid Finite Element Approximation for A Nonlinear Time-Fractional Cable Equation

Yang Liu, Yanwei Du, Hong Li +1

In this article, a nonlinear fractional Cable equation is solved by a two-grid algorithm combined with finite element (FE) method. A temporal second-order fully discrete two-grid F…