# Hailiang Liu

According to our database

Collaborative distances:

^{1}, Hailiang Liu authored at least 74 papers between 1996 and 2021.Collaborative distances:

## Timeline

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## 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

Math. Comput., 2020

Positive and free energy satisfying schemes for diffusion with interaction potentials.

J. Comput. Phys., 2020

CoRR, 2020

CoRR, 2020

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

CoRR, 2020

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

Sensors, 2019

J. Sci. Comput., 2019

Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity.

J. Comput. Phys., 2019

J. Comput. Appl. Math., 2019

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

Numerische Mathematik, 2015

Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations.

Math. Comput., 2015

J. Sci. Comput., 2015

J. Comput. Phys., 2015

Appl. Math. Lett., 2015

2014

Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker-Planck Equations.

SIAM J. Sci. Comput., 2014

SIAM J. Appl. Math., 2014

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

SIAM J. Sci. Comput., 2013

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

J. Comput. Phys., 2012

2011

SIAM J. Sci. Comput., 2011

J. Comput. Phys., 2011

2009

Networks Heterog. Media, 2009

Multiscale Model. Simul., 2009

Multiscale Model. Simul., 2009

A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations.

J. Comput. Phys., 2009

2008

SIAM J. Numer. Anal., 2008

SIAM J. Appl. Math., 2008

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

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

SIAM J. Appl. Math., 2003

Math. Comput., 2003

2001

SIAM J. Math. Anal., 2001

Numerische Mathematik, 2001

2000

The <i>LIP</i><sup>+</sup> -Stability and Error Estimates for a Relaxation Scheme.

SIAM J. Numer. Anal., 2000

SIAM J. Numer. Anal., 2000

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