Hailiang Liu

According to our database1, Hailiang Liu authored at least 74 papers between 1996 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Other 

Links

On csauthors.net:

Bibliography

2021
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations.
Numerische Mathematik, 2021

Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation.
J. Comput. Appl. Math., 2021

Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations.
CoRR, 2021

Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows.
CoRR, 2021

2020
Characteristics of A Hybrid Detector Combined with A Perovskite Active Layer for Indirect X-ray Detection.
Sensors, 2020

A Study on an Organic Semiconductor-Based Indirect X-ray Detector with Cd-Free QDs for Sensitivity Improvement.
Sensors, 2020

General superpositions of Gaussian beams and propagation errors.
Math. Comput., 2020

Positive and free energy satisfying schemes for diffusion with interaction potentials.
J. Comput. Phys., 2020

AEGD: Adaptive Gradient Decent with Energy.
CoRR, 2020

On the SAV-DG method for a class of fourth order gradient flows.
CoRR, 2020

An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system.
CoRR, 2020

Radially symmetric solutions of the ultra-relativistic Euler equations.
CoRR, 2020

Efficient, positive, and energy stable schemes for multi-D Poisson-Nernst-Planck systems.
CoRR, 2020

2019
A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations.
SIAM J. Sci. Comput., 2019

A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations.
SIAM J. Sci. Comput., 2019

Service Benefit Aware Multi-Task Assignment Strategy for Mobile Crowd Sensing.
Sensors, 2019

Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation.
J. Sci. Comput., 2019

Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity.
J. Comput. Phys., 2019

Alternating evolution methods for static Hamilton-Jacobi equations.
J. Comput. Appl. Math., 2019

A positivity-preserving energy stable scheme for a quantum diffusion equation.
CoRR, 2019

Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system.
CoRR, 2019

THIRD ORDER MAXIMUM-PRINCIPLE-SATISFYING DG SCHEMES Third Order Maximum-Principle-Satisfying DG schemes for Convection-Diffusion problems with Anisotropic Diffusivity DIFFUSIVITY.
CoRR, 2019

2018
Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations.
Math. Comput., 2018

A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems.
J. Sci. Comput., 2018

Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations.
J. Comput. Phys., 2018

2017
A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems.
J. Comput. Phys., 2017

2016
Finite-Time Tracking Control of Rigid Spacecraft Under Actuator Saturations and Faults.
IEEE Trans Autom. Sci. Eng., 2016

An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation.
SIAM J. Sci. Comput., 2016

Global Dynamics of Bose-Einstein Condensation for a Model of the Kompaneets Equation.
SIAM J. Math. Anal., 2016

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker-Planck Equations.
J. Sci. Comput., 2016

A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation.
J. Comput. Phys., 2016

Alternating evolution discontinuous Galerkin methods for convection-diffusion equations.
J. Comput. Phys., 2016

2015
Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions.
SIAM J. Numer. Anal., 2015

A local discontinuous Galerkin method for the Burgers-Poisson equation.
Numerische Mathematik, 2015

Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations.
Math. Comput., 2015

The Entropy Satisfying Discontinuous Galerkin Method for Fokker-Planck equations.
J. Sci. Comput., 2015

Mass preserving discontinuous Galerkin methods for Schrödinger equations.
J. Comput. Phys., 2015

Threshold for shock formation in the hyperbolic Keller-Segel model.
Appl. Math. Lett., 2015

2014
Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker-Planck Equations.
SIAM J. Sci. Comput., 2014

Gaussian Beam Methods for the Helmholtz Equation.
SIAM J. Appl. Math., 2014

Entropy/energy stable schemes for evolutionary dispersal models.
J. Comput. Phys., 2014

A free energy satisfying finite difference method for Poisson-Nernst-Planck equations.
J. Comput. Phys., 2014

Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations.
J. Comput. Phys., 2014

2013
Alternating Evolution Schemes for Hamilton-Jacobi Equations.
SIAM J. Sci. Comput., 2013

Error estimates for Gaussian beam superpositions.
Math. Comput., 2013

A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect.
J. Comput. Phys., 2013

The alternating evolution methods for first order nonlinear partial differential equations.
Commun. Inf. Syst., 2013

2012
An Entropy Satisfying Conservative Method for the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model.
SIAM J. Numer. Anal., 2012

The Cauchy-Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids.
SIAM J. Math. Anal., 2012

Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit.
J. Sci. Comput., 2012

Recovery of normal derivatives from the piecewise L<sup>2</sup> projection.
J. Comput. Phys., 2012

2011
Alternating Evolution Schemes for Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2011

A level set approach for dilute non-collisional fluid-particle flows.
J. Comput. Phys., 2011

2009
Kinetic models for polymers with inertial effects.
Networks Heterog. Media, 2009

Recovery of High Frequency Wave Fields from Phase Space-Based Measurements.
Multiscale Model. Simul., 2009

Recovery of High Frequency Wave Fields for the Acoustic Wave Equation.
Multiscale Model. Simul., 2009

A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations.
J. Comput. Phys., 2009

2008
The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems.
SIAM J. Numer. Anal., 2008

Boundary Conditions for the Microscopic FENE Models.
SIAM J. Appl. Math., 2008

Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics.
J. Sci. Comput., 2008

2007
A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations.
J. Comput. Phys., 2007

2006
A Level Set Framework for Capturing Multi-Valued Solutions of Nonlinear First-Order Equations.
J. Sci. Comput., 2006

A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect.
J. Comput. Phys., 2006

2004
KdV dynamics in the plasma-sheath transition.
Appl. Math. Lett., 2004

2003
Formation of δ-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids.
SIAM J. Math. Anal., 2003

Critical Thresholds in 2D Restricted Euler-Poisson Equations.
SIAM J. Appl. Math., 2003

The l global decay to discrete shocks for scalar monotone schemes.
Math. Comput., 2003

2001
Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws.
SIAM J. Math. Anal., 2001

Convergence rates to discrete shocks for nonconvex conservation laws.
Numerische Mathematik, 2001

2000
The <i>LIP</i><sup>+</sup> -Stability and Error Estimates for a Relaxation Scheme.
SIAM J. Numer. Anal., 2000

Convergence Rates for Relaxation Schemes Approximating Conservation Laws.
SIAM J. Numer. Anal., 2000

Convergence rates to the discrete travelling wave for relaxation schemes.
Math. Comput., 2000

1997
Decay rate for perturbations of stationary discrete shocks for convex scalar conservation laws.
Math. Comput., 1997

1996
Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws.
Math. Comput., 1996


  Loading...