Jian-Guo Liu - Publications

Affiliations: 
Temple University, Philadelphia, PA, United States 
Area:
Mathematics

141 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Degond P, Engel M, Liu J, Pego RL. A Markov jump process modelling animal group size statistics Communications in Mathematical Sciences. 18: 55-89. DOI: 10.4310/Cms.2020.V18.N1.A3  0.329
2020 Gao Y, Gao Y, Liu J. Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation Quarterly of Applied Mathematics. 1. DOI: 10.1090/Qam/1573  0.336
2020 Li L, Liu J. Large time behaviors of upwind schemes and -schemes for Fokker-Planck equations on ℝ by jump processes Ieee Communications Magazine. 89: 2283-2320. DOI: 10.1090/Mcom/3516  0.349
2020 Gao Y, Liu J, Lu J, Marzuola JL. Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects Nonlinearity. 33: 3816-3845. DOI: 10.1088/1361-6544/Ab853D  0.361
2020 Jin S, Li L, Liu J. Random batch methods (RBM) for interacting particle systems Journal of Computational Physics. 400: 108877. DOI: 10.1016/J.Jcp.2019.108877  0.335
2019 Zhan Q, Zhuang M, Fang Y, Liu JG, Liu QH. Green's function for anisotropic dispersive poroelastic media based on the Radon transform and eigenvector diagonalization. Proceedings. Mathematical, Physical, and Engineering Sciences. 475: 20180610. PMID 30760962 DOI: 10.1098/Rspa.2018.0610  0.41
2019 Liu J, Yang R. Propagation of chaos for the Keller–Segel equation with a logarithmic cut-off Methods and Applications of Analysis. 26: 319-348. DOI: 10.4310/Maa.2019.V26.N4.A2  0.362
2019 Hoop MVd, Liu J, Markowich PA, Ussembayev NS. Plane-wave analysis of a hyperbolic system of equations with relaxation in $\mathbb{R}^{d}$ Communications in Mathematical Sciences. 17: 61-79. DOI: 10.4310/Cms.2019.V17.N1.A3  0.348
2019 Liu J, Strain RM. Global stability for solutions to the exponential PDE describing epitaxial growth Interfaces and Free Boundaries. 21: 61-86. DOI: 10.4171/Ifb/417  0.304
2019 Huang H, Liu J, Lu J. Learning interacting particle systems: Diffusion parameter estimation for aggregation equations Mathematical Models and Methods in Applied Sciences. 29: 1-29. DOI: 10.1142/S0218202519500015  0.313
2019 Li L, Liu J. A discretization of Caputo derivatives with application to time fractional SDEs and gradient flows Siam Journal On Numerical Analysis. 57: 2095-2120. DOI: 10.1137/19M123854X  0.362
2019 Zhan Q, Zhuang M, Zhou Z, Liu J, Liu QH. Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm Ieee Transactions On Geoscience and Remote Sensing. 57: 4591-4599. DOI: 10.1109/Tgrs.2019.2891691  0.342
2019 Liu J, Pego RL, Pu Y. Well-posedness and derivative blow-up for a dispersionless regularized shallow water system Nonlinearity. 32: 4346-4376. DOI: 10.1088/1361-6544/Ab2Cf1  0.391
2019 Li L, Liu J, Yu P. On the mean field limit for Brownian particles with Coulomb interaction in 3D Journal of Mathematical Physics. 60: 111501. DOI: 10.1063/1.5114854  0.383
2019 Gao Y, Liu J, Lu XY. Gradient flow approach to an exponential thin film equation: global existence and latent singularity Esaim: Control, Optimisation and Calculus of Variations. 25: 49. DOI: 10.1051/Cocv/2018037  0.408
2019 Liu J, Lu J, Margetis D, Marzuola JL. Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model Physica D: Nonlinear Phenomena. 393: 54-67. DOI: 10.1016/J.Physd.2019.01.004  0.338
2019 Gao Y, Li L, Liu J. Patched peakon weak solutions of the modified Camassa–Holm equation Physica D: Nonlinear Phenomena. 390: 15-35. DOI: 10.1016/J.Physd.2018.10.005  0.377
2019 Liu J, Pego RL. On Local Singularities in Ideal Potential Flows with Free Surface Chinese Annals of Mathematics, Series B. 40: 925-948. DOI: 10.1007/S11401-019-0167-Z  0.363
2019 Liu J, Pego RL, Slepčev D. Least action principles for incompressible flows and geodesics between shapes Calculus of Variations and Partial Differential Equations. 58: 1-43. DOI: 10.1007/S00526-019-1636-7  0.4
2018 Gao Y, Ji H, Liu J, Witelski TP. A vicinal surface model for epitaxial growth with logarithmic free energy Discrete and Continuous Dynamical Systems-Series B. 23: 4433-4453. DOI: 10.3934/Dcdsb.2018170  0.373
2018 Li L, Liu J. Some Compactness Criteria for Weak Solutions of Time Fractional PDEs Siam Journal On Mathematical Analysis. 50: 3963-3995. DOI: 10.1137/17M1145549  0.326
2018 Gao Y, Li L, Liu J. A Dispersive Regularization for the Modified Camassa--Holm Equation Siam Journal On Mathematical Analysis. 50: 2807-2838. DOI: 10.1137/17M1132756  0.372
2018 Chen K, Li Q, Liu J. Online learning in optical tomography: a stochastic approach Inverse Problems. 34: 075010. DOI: 10.1088/1361-6420/Aac220  0.306
2018 Li L, Liu J, Wang L. Cauchy problems for Keller–Segel type time–space fractional diffusion equation Journal of Differential Equations. 265: 1044-1096. DOI: 10.1016/J.Jde.2018.03.025  0.311
2018 Liu J, Xu X. Partial regularity of weak solutions to a PDE system with cubic nonlinearity Journal of Differential Equations. 264: 5489-5526. DOI: 10.1016/J.Jde.2018.01.001  0.396
2018 Li L, Liu J. p-Euler equations and p-Navier–Stokes equations Journal of Differential Equations. 264: 4707-4748. DOI: 10.1016/J.Jde.2017.12.023  0.364
2018 Feng Y, Li L, Liu J, Xu X. A note on one-dimensional time fractional ODEs Applied Mathematics Letters. 83: 87-94. DOI: 10.1016/J.Aml.2018.03.015  0.388
2018 Gao Y, Liu J, Lu XY, Xu X. Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface Calculus of Variations and Partial Differential Equations. 57: 1-21. DOI: 10.1007/S00526-018-1326-X  0.344
2017 Huang H, Liu J. Discrete-in-time random particle blob method for the Keller–Segel equation and convergence analysis Communications in Mathematical Sciences. 15: 1821-1842. DOI: 10.4310/Cms.2017.V15.N7.A2  0.381
2017 Gao Y, Liu J, Luo T, Xiang Y. Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space Discrete and Continuous Dynamical Systems-Series B. 22: 0-0. DOI: 10.3934/Dcdsb.2020224  0.337
2017 Gao Y, Liu J. The modified Camassa-Holm equation in Lagrangian coordinates Discrete and Continuous Dynamical Systems-Series B. 23: 2545. DOI: 10.3934/Dcdsb.2018067  0.31
2017 Feng Y, Li L, Liu J, Xu X. Continuous and discrete one dimensional autonomous fractional ODEs Discrete and Continuous Dynamical Systems-Series B. 23: 3109. DOI: 10.3934/Dcdsb.2017210  0.359
2017 Liu J, Wang J. Global existence for a thin film equation with subcritical mass Discrete and Continuous Dynamical Systems-Series B. 22: 1461-1492. DOI: 10.3934/Dcdsb.2017070  0.319
2017 Jin S, Liu J, Ma Z. Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method Research in the Mathematical Sciences. 4: 1-25. DOI: 10.1186/S40687-017-0105-1  0.405
2017 Degond P, Liu J, Merino-Aceituno S, Tardiveau T. Continuum dynamics of the intention field under weakly cohesive social interaction Mathematical Models and Methods in Applied Sciences. 27: 159-182. DOI: 10.1142/S021820251740005X  0.355
2017 Gao Y, Liu J. Global Convergence of a Sticky Particle Method for the Modified Camassa--Holm Equation Siam Journal On Mathematical Analysis. 49: 1267-1294. DOI: 10.1137/16M1102069  0.399
2017 Liu J, Xu X. Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions Siam Journal On Mathematical Analysis. 49: 2220-2245. DOI: 10.1137/16M1098474  0.361
2017 Gao Y, Liu J, Lu J. Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime Siam Journal On Mathematical Analysis. 49: 1705-1731. DOI: 10.1137/16M1094543  0.358
2017 Huang H, Liu J. Error estimate of a random particle blob method for the Keller-Segel equation Ieee Communications Magazine. 86: 2719-2744. DOI: 10.1090/Mcom/3174  0.328
2017 Liu J, Wang J. A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation Nonlinearity. 30: 35-60. DOI: 10.1088/0951-7715/30/1/35  0.364
2017 Gao Y, Ji H, Liu J, Witelski TP. Global existence of solutions to a tear film model with locally elevated evaporation rates Physica D: Nonlinear Phenomena. 350: 13-25. DOI: 10.1016/J.Physd.2017.03.005  0.343
2017 Li L, Liu J, Lu J. Fractional stochastic differential equations satisfying fluctuation-dissipation theorem Journal of Statistical Physics. 169: 316-339. DOI: 10.1007/S10955-017-1866-Z  0.409
2017 Liu J, Ma Z, Zhou Z. Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives Journal of Scientific Computing. 72: 291-313. DOI: 10.1007/S10915-017-0356-4  0.357
2017 Gao Y, Liu J, Lu J. Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces Journal of Nonlinear Science. 27: 873-926. DOI: 10.1007/S00332-016-9354-1  0.322
2016 Duan Y, Liu J. Error estimate of the particle method for the $b$-equation Methods and Applications of Analysis. 23: 119-154. DOI: 10.4310/Maa.2016.V23.N2.A1  0.318
2016 Liu J, Huang( H. Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos Kinetic and Related Models. 9: 715-748. DOI: 10.3934/Krm.2016013  0.314
2016 Huang H, Liu J. Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations Discrete and Continuous Dynamical Systems-Series B. 21: 3463-3478. DOI: 10.3934/Dcdsb.2016107  0.336
2016 Liu J, Yang R. Propagation of chaos for large Brownian particle system with Coulomb interaction Research in the Mathematical Sciences. 3: 40. DOI: 10.1186/S40687-016-0086-5  0.301
2016 Chen J, Liu J, Zhou Z. On a Schrödinger--Landau--Lifshitz System: Variational Structure and Numerical Methods Multiscale Modeling & Simulation. 14: 1463-1487. DOI: 10.1137/16M106947X  0.314
2016 Liu J, Xu X. Existence Theorems for a Multidimensional Crystal Surface Model Siam Journal On Mathematical Analysis. 48: 3667-3687. DOI: 10.1137/16M1059400  0.396
2016 Liu J, Yang R. A random particle blob method for the Keller-Segel equation and convergence analysis Ieee Communications Magazine. 86: 725-745. DOI: 10.1090/Mcom/3118  0.379
2016 Huang H, Liu JG. A note on Monge-Ampère Keller-Segel equation Applied Mathematics Letters. 61: 26-34. DOI: 10.1016/J.Aml.2016.05.003  0.393
2016 Liu J, Wang J. Refined hyper-contractivity and uniqueness for the Keller–Segel equations Applied Mathematics Letters. 52: 212-219. DOI: 10.1016/J.Aml.2015.09.001  0.339
2016 Liu JG, Wang J. Refined hyper-contractivity and uniqueness for the Keller-Segel equations Applied Mathematics Letters. 52: 212-219. DOI: 10.1007/S10440-015-0022-5  0.384
2016 Degond P, Liu J, Pego RL. Coagulation–Fragmentation Model for Animal Group-Size Statistics Journal of Nonlinear Science. 27: 379-424. DOI: 10.1007/S00332-016-9336-3  0.314
2015 Lu J, Liu JG, Margetis D. Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 032403. PMID 25871119 DOI: 10.1103/Physreve.91.032403  0.306
2015 Chertock A, Liu JG, Pendleton T. Elastic collisions among peakon solutions for the Camassa-Holm equation Applied Numerical Mathematics. 93: 30-46. DOI: 10.1016/J.Apnum.2014.01.001  0.418
2015 Xue Y, Wang C, Liu J. Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis Journal of Scientific Computing. 65: 1189-1216. DOI: 10.1007/S10915-015-0005-8  0.379
2014 Degond P, Herty M, Liu J. Flow on Sweeping Networks Multiscale Modeling & Simulation. 12: 538-565. DOI: 10.1137/130927061  0.342
2014 Chae D, Degond P, Liu J. Well-posedness for Hall-magnetohydrodynamics Annales De L'Institut Henri Poincare (C) Non Linear Analysis. 31: 555-565. DOI: 10.1016/J.Anihpc.2013.04.006  0.331
2014 Johnston H, Wang C, Liu JG. A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier–Stokes Equations Journal of Scientific Computing. 60: 612-626. DOI: 10.1007/S10915-013-9808-7  0.405
2014 Chen X, Jüngel A, Liu J. A Note on Aubin-Lions-Dubinskiĭ Lemmas Acta Applicandae Mathematicae. 133: 33-43. DOI: 10.1007/S10440-013-9858-8  0.363
2014 Goudon T, Jin S, Liu J, Yan B. Asymptotic‐preserving schemes for kinetic–fluid modeling of disperse two‐phase flows with variable fluid density International Journal For Numerical Methods in Fluids. 75: 81-102. DOI: 10.1002/Fld.3885  0.365
2013 Duan Y, Liu J. Convergence analysis of the vortex blob method for the $b$-equation Discrete and Continuous Dynamical Systems. 34: 1995-2011. DOI: 10.3934/Dcds.2014.34.1995  0.412
2013 Chen X, Liu J. Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces Siam Journal On Mathematical Analysis. 45: 1179-1215. DOI: 10.1137/120887850  0.391
2013 Huang Y, Liu J, Wang W. A Generalized MAC Scheme on Curvilinear Domains Siam Journal On Scientific Computing. 35. DOI: 10.1137/120875508  0.396
2013 Chen X, Liu J. Global weak entropy solution to Doi–Saintillan–Shelley model for active and passive rod-like and ellipsoidal particle suspensions Journal of Differential Equations. 254: 2764-2802. DOI: 10.1016/J.Jde.2013.01.005  0.408
2013 Goudon T, Jin S, Liu J, Yan B. Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows Journal of Computational Physics. 246: 145-164. DOI: 10.1016/J.Jcp.2013.03.038  0.412
2013 Bian S, Liu JG. Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0 Communications in Mathematical Physics. 323: 1017-1070. DOI: 10.1007/S00220-013-1777-Z  0.323
2012 Haack J, Jin S, Liu JG. An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations Communications in Computational Physics. 12: 955-980. DOI: 10.4208/Cicp.250910.131011A  0.407
2012 DEGOND P, LIU J. HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU–LIFSCHITZ–GILBERT EQUATION Mathematical Models and Methods in Applied Sciences. 22: 1140001. DOI: 10.1142/S021820251140001X  0.379
2012 Chertock A, Liu JG, Pendleton T. Convergence of a particle method and global weak solutions of a family of evolutionary PDEs Siam Journal On Numerical Analysis. 50: 1-21. DOI: 10.1137/110831386  0.43
2012 Frouvelle A, Liu J. Dynamics in a kinetic model of oriented particles with phase transition Siam Journal On Mathematical Analysis. 44: 791-826. DOI: 10.1137/110823912  0.398
2012 Jin S, Liu J, Wang L. A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations Mathematics of Computation. 82: 749-779. DOI: 10.1090/S0025-5718-2012-02643-3  0.348
2012 Chen X, Liu J. Two nonlinear compactness theorems in L p (0, T ; B) Applied Mathematics Letters. 25: 2252-2257. DOI: 10.1016/J.Aml.2012.06.012  0.329
2012 Carrillo JA, Chen L, Liu J, Wang J. A Note on the Subcritical Two Dimensional Keller-Segel System Acta Applicandae Mathematicae. 119: 43-55. DOI: 10.1007/S10440-011-9660-4  0.323
2012 Degond P, Frouvelle A, Liu J. Macroscopic Limits and Phase Transition in a System of Self-propelled Particles Journal of Nonlinear Science. 23: 427-456. DOI: 10.1007/S00332-012-9157-Y  0.304
2012 Chae D, Liu J. Blow-up, Zero α Limit and the Liouville Type Theorem for the Euler-Poincaré Equations Communications in Mathematical Physics. 314: 671-687. DOI: 10.1007/S00220-012-1534-8  0.356
2011 Huang Y, Liu J, Wang W. An FFT Based Fast Poisson Solver on Spherical Shells Communications in Computational Physics. 9: 649-667. DOI: 10.4208/Cicp.060509.080609S  0.315
2011 Acheritogaray M, Degond P, Frouvelle A, Liu J. Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system Kinetic and Related Models. 4: 901-918. DOI: 10.3934/Krm.2011.4.901  0.418
2011 Liu J, Lorz A. A coupled chemotaxis-fluid model: Global existence Annales De L Institut Henri Poincare-Analyse Non Lineaire. 28: 643-652. DOI: 10.1016/J.Anihpc.2011.04.005  0.405
2010 Liu J, Pego RL. Stable discretization of magnetohydrodynamics in bounded domains Communications in Mathematical Sciences. 8: 235-251. DOI: 10.4310/Cms.2010.V8.N1.A12  0.394
2010 Liu J, Mieussens L. Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit Siam Journal On Numerical Analysis. 48: 1474-1491. DOI: 10.1137/090772770  0.404
2010 Liu J, Liu J, Pego RL. Stable and accurate pressure approximation for unsteady incompressible viscous flow Journal of Computational Physics. 229: 3428-3453. DOI: 10.1016/J.Jcp.2010.01.010  0.369
2009 Ha S, Liu J. A simple proof of the Cucker-Smale flocking dynamics and mean-field limit Communications in Mathematical Sciences. 7: 297-325. DOI: 10.4310/Cms.2009.V7.N2.A2  0.321
2009 Liu J, Wang W. Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation Siam Journal On Mathematical Analysis. 41: 1825-1850. DOI: 10.1137/080739744  0.428
2009 Lin Y, Lee J, Liu J, Chai M, Mix JA, Liu QH. A Hybrid SIM-SEM Method for 3-D Electromagnetic Scattering Problems Ieee Transactions On Antennas and Propagation. 57: 3655-3663. DOI: 10.1109/Tap.2009.2026664  0.322
2009 Liu QH, Lin Y, Liu J, Lee J, Simsek E. A 3-D Spectral Integral Method (SIM) for Surface Integral Equations Ieee Microwave and Wireless Components Letters. 19: 62-64. DOI: 10.1109/Lmwc.2008.2011305  0.335
2009 Liu J, Liu J, Pego RL. Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions Chinese Annals of Mathematics, Series B. 30: 743-768. DOI: 10.1007/S11401-009-0116-3  0.319
2008 Degond P, Liu J, Vignal M. Analysis of an Asymptotic Preserving Scheme for the Euler–Poisson System in the Quasineutral Limit Siam Journal On Numerical Analysis. 46: 1298-1322. DOI: 10.1137/070690584  0.342
2008 Lin P, Liu J, Lu X. Long Time Numerical Solution of the Navier-Stokes Equations Based on a Sequential Regularization Formulation Siam Journal On Scientific Computing. 31: 398-419. DOI: 10.1137/060673722  0.431
2008 Lu X, Lin P, Liu J. Analysis of a sequential regularization method for the unsteady Navier-Stokes equations Mathematics of Computation. 77: 1467-1494. DOI: 10.1090/S0025-5718-08-02087-5  0.443
2007 Antman SS, Liu J. Basic Themes and Pretty Problems of Nonlinear Solid Mechanics Milan Journal of Mathematics. 75: 135-176. DOI: 10.1007/S00032-007-0068-6  0.353
2007 Liu J, Liu QH. A novel radiation boundary condition for finite‐element method Microwave and Optical Technology Letters. 49: 1995-2002. DOI: 10.1002/Mop.22608  0.34
2007 Liu J, Liu J, Pego RL. Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate Communications On Pure and Applied Mathematics. 60: 1443-1487. DOI: 10.1002/Cpa.20178  0.442
2006 Degond P, Liu J, Mieussens L. Macroscopic Fluid Models with Localized Kinetic Upscaling Effects Multiscale Modeling & Simulation. 5: 940-979. DOI: 10.1137/060651574  0.391
2006 Liu J, Wang W. Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows Siam Journal On Numerical Analysis. 44: 2456-2480. DOI: 10.1137/050639314  0.317
2006 Simsek E, Liu J, Liu QH. A Spectral Integral Method and Hybrid SIM/FEM for Layered Media Ieee Transactions On Microwave Theory and Techniques. 54: 3878-3884. DOI: 10.1109/Tmtt.2006.883647  0.306
2006 Simsek E, Liu J, Liu QH. A spectral Integral method (SIM) for layered media Ieee Transactions On Antennas and Propagation. 54: 1742-1749. DOI: 10.1109/Tap.2006.875500  0.31
2006 Liu J, Samelson R, Wang C. Global weak solution of planetary geostrophic equations with inviscid geostrophic balance Applicable Analysis. 85: 593-605. DOI: 10.1080/00036810500328299  0.402
2004 Liu J, Xu W. Far field boundary condition for convection diffusion equation at zero viscosity limit Quarterly of Applied Mathematics. 62: 27-52. DOI: 10.1090/Qam/2032571  0.362
2004 Liu J, Wang C. High order finite difference methods for unsteady incompressible flows in multi-connected domains Computers & Fluids. 33: 223-255. DOI: 10.1016/S0045-7930(03)00037-9  0.332
2004 Ghil M, Liu J, Wang C, Wang S. Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow Physica D: Nonlinear Phenomena. 197: 149-173. DOI: 10.1016/J.Physd.2004.06.012  0.344
2004 Liu J, Wang W. Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry Journal of Computational Physics. 200: 8-33. DOI: 10.1016/J.Jcp.2004.03.005  0.417
2004 Johnston H, Liu J. Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term Journal of Computational Physics. 199: 221-259. DOI: 10.1016/J.Jcp.2004.02.009  0.424
2004 Li B, Liu J. Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling Journal of Nonlinear Science. 14: 429-451. DOI: 10.1007/S00332-004-0634-9  0.327
2004 Wang C, Liu J, Johnston H. Analysis of a fourth order finite difference method for the incompressible Boussinesq equations Numerische Mathematik. 97: 555-594. DOI: 10.1007/S00211-003-0508-3  0.441
2003 Chern I, Liu J, Wang W. Accurate Evaluation of Electrostatics for Macromolecules in Solution Methods and Applications of Analysis. 10: 309-328. DOI: 10.4310/Maa.2003.V10.N2.A9  0.372
2003 E W, Liu J. Gauge Method For Viscous Incompressible Flows Communications in Mathematical Sciences. 1: 317-332. DOI: 10.4310/Cms.2003.V1.N2.A6  0.427
2003 Wang C, Liu J. Positivity property of second-order flux-splitting schemes for the compressible Euler equations Discrete and Continuous Dynamical Systems-Series B. 3: 201-228. DOI: 10.3934/Dcdsb.2003.3.201  0.362
2003 Chainais-Hillairet C, Liu J, Peng Y. Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis Mathematical Modelling and Numerical Analysis. 37: 319-338. DOI: 10.1051/M2An:2003028  0.443
2003 Duraisamy K, Baeder JD, Liu JG. Concepts and Application of Time-Limiters to High Resolution Schemes Journal of Scientific Computing. 19: 139-162. DOI: 10.1023/A:1025395707090  0.397
2003 Liu J, Wang C, Johnston H. A Fourth Order Scheme for Incompressible Boussinesq Equations Journal of Scientific Computing. 18: 253-285. DOI: 10.1023/A:1021168924020  0.452
2003 Li B, Liu J. Thin film epitaxy with or without slope selection European Journal of Applied Mathematics. 14: 713-743. DOI: 10.1017/S095679250300528X  0.393
2002 Weinan E, Liu J. Projection method III: spatial discretization on the staggered grid Mathematics of Computation. 71: 27-47. DOI: 10.1090/S0025-5718-01-01313-8  0.363
2002 Wang C, Liu J. Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation Numerische Mathematik. 91: 543-576. DOI: 10.1007/S002110100311  0.422
2002 Johnston H, Liu J. Finite Difference Schemes for Incompressible Flow Based on Local Pressure Boundary Conditions Journal of Computational Physics. 180: 120-154. DOI: 10.1006/Jcph.2002.7079  0.38
2001 Liu J, Xin Z. Convergence of the point vortex method for 2-D vortex sheet Mathematics of Computation. 70: 595-606. DOI: 10.1090/S0025-5718-00-01271-0  0.374
2001 Liu J, E W. Simple finite element method in vorticity formulation for incompressible flows Mathematics of Computation. 70: 579-593. DOI: 10.1090/S0025-5718-00-01239-4  0.308
2001 Liu J, Wang W. An energy-preserving MAC-Yee scheme for the incompressible MHD equation Journal of Computational Physics. 174: 12-37. DOI: 10.1006/Jcph.2001.6772  0.413
2000 Wang C, Liu J. Convergence of gauge method for incompressible flow Mathematics of Computation. 69: 1385-1407. DOI: 10.1090/S0025-5718-00-01248-5  0.445
2000 Liu J, Shu C. A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows Journal of Computational Physics. 160: 577-596. DOI: 10.1006/Jcph.2000.6475  0.393
2000 Liu J, Xin Z. Convergence of a Galerkin method for 2‐D discontinuous Euler flows Communications On Pure and Applied Mathematics. 53: 786-798. DOI: 10.1002/(Sici)1097-0312(200006)53:6<786::Aid-Cpa3>3.0.Co;2-Y  0.385
1999 Lefloch PG, Liu J. Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions Mathematics of Computation. 68: 1025-1055. DOI: 10.1090/S0025-5718-99-01062-5  0.391
1998 Liu J, Xu E. Pricing of mortgage‐backed securities with option‐adjusted spread Managerial Finance. 24: 94-109. DOI: 10.1108/03074359810765796  0.312
1998 Choi H, Liu J. The Reconstruction of Upwind Fluxes for Conservation Laws Journal of Computational Physics. 144: 237-256. DOI: 10.1006/Jcph.1998.5970  0.379
1997 Chen G, Liu J. convergence of difference schemes with high resolution for conservation laws Mathematics of Computation. 66: 1027-1053. DOI: 10.1090/S0025-5718-97-00859-4  0.354
1997 E W, Liu JG. Finite Difference Methods for 3D Viscous Incompressible Flows in the Vorticity-Vector Potential Formulation on Nonstaggered Grids Journal of Computational Physics. 138: 57-82. DOI: 10.1006/Jcph.1997.5815  0.376
1997 E W, Liu J. Finite Difference Schemes for Incompressible Flows in the Velocity-Impulse Density Formulation Journal of Computational Physics. 130: 67-76. DOI: 10.1006/Jcph.1996.5537  0.35
1996 E W, Liu J. Projection Method II: Godunov--Ryabenki Analysis Siam Journal On Numerical Analysis. 33: 1597-1621. DOI: 10.1137/S003614299426450X  0.364
1996 Liu J, Xin Z. Kinetic and viscous boundary layers for broadwell equations Transport Theory and Statistical Physics. 25: 447-461. DOI: 10.1080/00411459608220713  0.388
1996 E W, Liu J. Finite difference schemes for incompressible flows in vorticity formulations Esaim: Proceedings. 1: 181-195. DOI: 10.1051/Proc:1996009  0.369
1996 Levermore CD, Liu J. Large oscillations arising in a dispersive numerical scheme Physica D: Nonlinear Phenomena. 99: 191-216. DOI: 10.1016/S0167-2789(96)00157-1  0.432
1996 Liu J, Xin Z. Boundary-Layer Behavior in the Fluid-Dynamic Limit for a Nonlinear Model Boltzmann Equation Archive For Rational Mechanics and Analysis. 135: 61-105. DOI: 10.1007/Bf02198435  0.37
1996 Jin S, Liu J. The Effects of Numerical Viscosities Journal of Computational Physics. 126: 373-389. DOI: 10.1006/Jcph.1996.0144  0.34
1996 E W, Liu J. Essentially Compact Schemes for Unsteady Viscous Incompressible Flows Journal of Computational Physics. 126: 122-138. DOI: 10.1006/Jcph.1996.0125  0.375
1996 E W, Liu J. Vorticity Boundary Condition and Related Issues for Finite Difference Schemes Journal of Computational Physics. 124: 368-382. DOI: 10.1006/Jcph.1996.0066  0.365
1995 Liu J, Xin Z. Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data Communications On Pure and Applied Mathematics. 48: 611-628. DOI: 10.1002/Cpa.3160480603  0.448
1993 Chen GQ, Liu J. Convergence of second-order schemes for isentropic gas dynamics Mathematics of Computation. 61: 607-627. DOI: 10.1090/S0025-5718-1993-1185239-7  0.302
1993 Liu J, Xin ZP. L^1 stability of stationary discrete shocks Mathematics of Computation. 60: 233-244. DOI: 10.1090/S0025-5718-1993-1159170-7  0.332
1993 Engquist B, Liu J. Numerical Methods for Oscillatory Solutions to Hyperbolic Problems Communications On Pure and Applied Mathematics. 46: 1327-1361. DOI: 10.1002/Cpa.3160461003  0.411
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