Hailiang Liu

Zhenyu Wang, Hailiang Liu, Hang Su, 2016, 2016 IEEE International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER).

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

Hailiang Liu, Hailiang Liu, 2015, Math. Comput..

The l global decay to discrete shocks for scalar monotone schemes

Hailiang Liu, 2003, Math. Comput..

Critical Thresholds in 2D Restricted Euler-Poisson Equations

Hailiang Liu, Eitan Tadmor, 2003, SIAM J. Appl. Math..

Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system pdf

Hailiang Liu, Wumaier Maimaitiyiming, Hailiang Liu, 2019, Communications in Computational Physics.

Recovery of normal derivatives from the piecewise L2 projection

Hailiang Liu, Nianyu Yi, Yunqing Huang, 2012, J. Comput. Phys..

Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows pdf

Hailiang Liu, Peimeng Yin, Hailiang Liu, 2021, ArXiv.

Alternating evolution discontinuous Galerkin methods for convection-diffusion equations

Hailiang Liu, Michael Pollack, 2016, J. Comput. Phys..

A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation

Hailiang Liu, Nianyu Yi, Hailiang Liu, 2016, J. Comput. Phys..

Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations

Hailiang Liu, Michael Pollack, Hailiang Liu, 2014, J. Comput. Phys..

Recovery of High Frequency Wave Fields for the Acoustic Wave Equation

Hailiang Liu, James Ralston, Hailiang Liu, 2009, Multiscale Model. Simul..

Recovery of High Frequency Wave Fields from Phase Space-Based Measurements

Hailiang Liu, James Ralston, Hailiang Liu, 2009, Multiscale Model. Simul..

A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations

Hailiang Liu, Gerald Warnecke, Robin Gröpler, 2017, SIAM J. Sci. Comput..

An Entropy Satisfying Conservative Method for the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model

Hailiang Liu, Hui Yu, Hailiang Liu, 2012, SIAM J. Numer. Anal..

Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit

Hailiang Liu, Pierre Degond, Marie Hélène Vignal, 2010, J. Sci. Comput..

Finite-Time Tracking Control of Rigid Spacecraft Under Actuator Saturations and Faults

Yuanqing Xia, Hailiang Liu, Kunfeng Lu, 2018, IEEE Transactions on Automation Science and Engineering.

A level set approach for dilute non-collisional fluid-particle flows

Hailiang Liu, Zhongming Wang, Rodney O. Fox, 2011, J. Comput. Phys..

Alternating Evolution Schemes for Hyperbolic Conservation Laws

Hailiang Liu, Haseena Saran, Hailiang Liu, 2011, SIAM J. Sci. Comput..

A local discontinuous Galerkin method for the Burgers–Poisson equation

Hailiang Liu, Nattapol Ploymaklam, Hailiang Liu, 2015, Numerische Mathematik.

A free energy satisfying finite difference method for Poisson-Nernst-Planck equations

Hailiang Liu, Zhongming Wang, Hailiang Liu, 2013, J. Comput. Phys..

The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

Hailiang Liu, Jue Yan, Hailiang Liu, 2008, SIAM J. Numer. Anal..

A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect

Hailiang Liu, Jue Yan, Hailiang Liu, 2006, J. Comput. Phys..

Efficient, positive, and energy stable schemes for multi-D Poisson-Nernst-Planck systems pdf

Hailiang Liu, Wumaier Maimaitiyiming, 2020, ArXiv.

A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect

Hailiang Liu, Nianyu Yi, Yunqing Huang, 2013, J. Comput. Phys..

Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations

Hailiang Liu, Hairui Wen, Hailiang Liu, 2017, Math. Comput..

On the SAV‐DG method for a class of fourth order gradient flows pdf

Hailiang Liu, Peimeng Yin, Hailiang Liu, 2020, Numerical Methods for Partial Differential Equations.

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

Hailiang Liu, Zhongming Wang, Hailiang Liu, 2009, J. Comput. Phys..

Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions

Hailiang Liu, Ning Su, Wenli Cai, 2015, SIAM J. Numer. Anal..

Alternating Evolution Schemes for Hamilton-Jacobi Equations

Hailiang Liu, Michael Pollack, Haseena Saran, 2013, SIAM J. Sci. Comput..

Cyber-Physical-Social Systems

Daniel Dajun Zeng, Hailiang Liu, Fred Morstatter, 2012 .

The Cauchy-Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids

Hailiang Liu, Jaemin Shin, Hailiang Liu, 2012, SIAM J. Math. Anal..

Entropy/energy stable schemes for evolutionary dispersal models

Hailiang Liu, Hui Yu, Hailiang Liu, 2014, J. Comput. Phys..

Flying qualities evaluation criteria design for scaled-model aircraft based on similarity theory

Hailiang Liu, Lixin Wang, Ting Yue, 2019, Aerospace Science and Technology.

A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems

Hailiang Liu, Zhongming Wang, Hailiang Liu, 2016, J. Comput. Phys..

Unconditionally Energy Stable DG Schemes for the Swift–Hohenberg Equation

Hailiang Liu, Peimeng Yin, Hailiang Liu, 2019, Journal of Scientific Computing.

Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws

Hailiang Liu, Jinghua Wang, Hailiang Liu, 1996, Math. Comput..

Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation pdf

Hailiang Liu, Peimeng Yin, Hailiang Liu, 2019, J. Comput. Appl. Math..

KdV dynamics in the plasma-sheath transition

Hailiang Liu, Marshall Slemrod, M. Slemrod, 2004, Appl. Math. Lett..

Convergence Rates for Relaxation Schemes Approximating Conservation Laws

Hailiang Liu, Gerald Warnecke, Hailiang Liu, 2000, SIAM J. Numer. Anal..

Error estimates for Gaussian beam superpositions

Hailiang Liu, Olof Runborg, Nicolay M. Tanushev, 2010, Math. Comput..

Positive and free energy satisfying schemes for diffusion with interaction potentials

Hailiang Liu, Wumaier Maimaitiyiming, 2020, J. Comput. Phys..

Formation of δ-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

Hailiang Liu, Gui-Qiang G. Chen, Gui-Qiang G. Chen, 2003, SIAM J. Math. Anal..

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

Hailiang Liu, Athanasios E. Tzavaras, Xiaokai Huo, 2020, SIAM J. Numer. Anal..

Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws

Hailiang Liu, Eitan Tadmor, E. Tadmor, 2001, SIAM J. Math. Anal..

The human body characteristic parameters extraction and disease tendency prediction based on multi-sensing fusion algorithms

Hailiang Liu, Hang Su, Yufeng Jin, 2016, 2016 IEEE International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER).

Kinetic models for polymers with inertial effects

Hailiang Liu, Pierre Degond, Hailiang Liu, 2009, Networks Heterog. Media.

Alternating evolution methods for static Hamilton-Jacobi equations

Hailiang Liu, Linrui Qian, Hailiang Liu, 2019, J. Comput. Appl. Math..

Decay rate for perturbations of stationary discrete shocks for convex scalar conservation laws

Hailiang Liu, Jinghua Wang, 1997, Math. Comput..

Convergence rates to the discrete travelling wave for relaxation schemes

Hailiang Liu, 2000, Math. Comput..

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

Hailiang Liu, Hui Yu, Hailiang Liu, 2014, SIAM J. Sci. Comput..

Threshold for shock formation in the hyperbolic Keller-Segel model

Hailiang Liu, Yongki Lee, Hailiang Liu, 2015, Appl. Math. Lett..