Jian-Guo Liu
Orcid: 0000-0002-9911-4045Affiliations:
- Duke University, Departments of Mathematics and Physics, NC, USA
- University of Maryland, Institute for Physical Science and Technology and Department of Mathematics College Park, MD, USA
According to our database1,
Jian-Guo Liu
authored at least 70 papers
between 2001 and 2024.
Collaborative distances:
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Bibliography
2024
J. Sci. Comput., May, 2024
2023
CoRR, 2023
2022
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting.
SIAM J. Sci. Comput., 2022
Numerische Mathematik, 2022
2021
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights.
SIAM J. Numer. Anal., 2021
SIAM J. Appl. Math., 2021
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration.
J. Comput. Phys., 2021
2020
Large time behaviors of upwind schemes and B-schemes for Fokker-Planck equations on ℝ by jump processes.
Math. Comput., 2020
A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method.
CoRR, 2020
2019
Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm.
IEEE Trans. Geosci. Remote. Sens., 2019
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows.
SIAM J. Numer. Anal., 2019
Field model for complex ionic fluids: analytical properties and numerical investigation.
CoRR, 2019
CoRR, 2019
CoRR, 2019
Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation.
CoRR, 2019
2018
SIAM J. Math. Anal., 2018
A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs.
SIAM J. Math. Anal., 2018
SIAM J. Math. Anal., 2018
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations.
Math. Comput., 2018
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws.
Math. Comput., 2018
An accurate front capturing scheme for tumor growth models with a free boundary limit.
J. Comput. Phys., 2018
2017
Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions.
SIAM J. Math. Anal., 2017
Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime.
SIAM J. Math. Anal., 2017
Global Convergence of a Sticky Particle Method for the Modified Camassa-Holm Equation.
SIAM J. Math. Anal., 2017
A random particle blob method for the Keller-Segel equation and convergence analysis.
Math. Comput., 2017
Math. Comput., 2017
J. Sci. Comput., 2017
Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.
J. Nonlinear Sci., 2017
J. Nonlinear Sci., 2017
A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction.
CoRR, 2017
Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent.
CoRR, 2017
2016
SIAM J. Math. Anal., 2016
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods.
Multiscale Model. Simul., 2016
Appl. Math. Lett., 2016
2015
An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability.
SIAM J. Appl. Math., 2015
Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis.
J. Sci. Comput., 2015
2014
A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier-Stokes Equations.
J. Sci. Comput., 2014
J. Nonlinear Sci., 2014
2013
Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces.
SIAM J. Math. Anal., 2013
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations.
Math. Comput., 2013
J. Nonlinear Sci., 2013
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.
J. Comput. Phys., 2013
2012
Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs.
SIAM J. Numer. Anal., 2012
SIAM J. Math. Anal., 2012
Multidimensional Degenerate Keller-Segel System with Critical Diffusion Exponent 2n/(n+2).
SIAM J. Math. Anal., 2012
2010
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit.
SIAM J. Numer. Anal., 2010
J. Comput. Phys., 2010
2009
Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier-Stokes Equation.
SIAM J. Math. Anal., 2009
2008
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation.
SIAM J. Sci. Comput., 2008
Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit.
SIAM J. Numer. Anal., 2008
Analysis of a sequential regularization method for the unsteady Navier-Stokes equations.
Math. Comput., 2008
2006
Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows.
SIAM J. Numer. Anal., 2006
Multiscale Model. Simul., 2006
2004
Analysis of a fourth order finite difference method for the incompressible Boussinesq equations.
Numerische Mathematik, 2004
Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling.
J. Nonlinear Sci., 2004
2003
J. Sci. Comput., 2003
2002
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation.
Numerische Mathematik, 2002
Math. Comput., 2002
2001
Math. Comput., 2001