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  • A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces

    Sihong Shao & Tiezheng Qian
    2012-11-01
    42052 3908 Pages:831-862
  • A Consistency Study of Coarse-Grained Dynamical Chains through a Nonlinear Wave Equation of Mixed Type

    Mingjie Liao, Ping Lin
    2020-07-30
    43342 3577 Pages:921-948
  • On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

    Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou
    2022-07-06
    42828 3639 Pages:222-258
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    201 54 Pages:1262-1306
  • Bayesian Model Calibration with Interpolating Polynomials Based on Adaptively Weighted Leja Nodes

    Laurent van den Bos, Benjamin Sanderse, Wim Bierbooms, Gerard van Bussel
    2020-03-06
    53156 4879 Pages:33-69
  • A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio

    Tao Lu, Xuguang Yang, Fu Xiao, Tao Wen
    2019-07-02
    46498 3217 Pages:1098-1117
  • A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

    Pei Zhang, Yanli Wang, Zhennan Zhou
    2024-01-31
    28862 2368 Pages:70-106
  • MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

    Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma
    2022-08-11
    306975 3553 Pages:299-335
  • A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

    Zhaoqin Huang, Xia Yan & Jun Yao
    2014-12-08
    39419 4258 Pages:799-816
  • Model Reduction with Memory and the Machine Learning of Dynamical Systems

    Chao Ma, Jianchun Wang & Weinan E
    2018-12-08
    59155 5193 Pages:947-962 Open-access
  • A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

    Qibing Li
    2018-10-11
    45016 3354 Pages:416-447
  • Quantum Dynamics in Continuum for Proton Transport I: Basic Formulation

    Duan Chen & Guo-Wei Wei
    2013-01-05
    40900 4346 Pages:285-324
  • An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction

    Li Li, Qian Chen, Zhiwei He, Yousheng Zhang, Baolin Tian
    2019-12-07
    47530 3119 Pages:546-568
  • A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

    Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang
    2019-08-27
    47897 3421 Pages:1597-1616
  • An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons

    Jessy Mallet, Stéphane Brull & Bruno Dubroca
    2018-03-27
    40049 3992 Pages:422-450
  • Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

    Pengtao Sun, Guangri Xue, Chaoyang Wang & Jinchao Xu
    2009-06-01
    38726 4182 Pages:49-71
  • A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

    Juan-Chen Huang, Kun Xu & Pubing Yu
    2012-12-01
    40804 4138 Pages:662-690
  • An Interface-Capturing Method for Resolving Compressible Two-Fluid Flows with General Equation of State

    T. S. Lee, J. G. Zheng & S. H. Winoto
    2020-07-30
    38671 4027 Pages:1137-1162
  • A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

    Wei Leng, Lili Ju, Max Gunzburger & Stephen Price
    2014-10-08
    42562 4230 Pages:1056-1080
  • Modelling of Propagating Shear Waves in Biotissue Employing an Internal Variable Approach to Dissipation

    H. T. Banks & Nicholas S. Luke
    2008-03-01
    39125 4017 Pages:603-640
  • Mathematical Model of Freezing in a Porous Medium at Micro-Scale

    Alexandr Žák, Michal Beneš, Tissa H. Illangasekare, Andrew C. Trautz
    2018-09-17
    47068 3368 Pages:557-575
  • A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport

    Chang Liu & Kun Xu
    2017-11-02
    52358 3632 Pages:1175-1223
  • On the Magneto-Heat Coupling Model for Large Power Transformers

    Xujing Li, Shipeng Mao, Kangkang Yang & Weiying Zheng
    2017-09-02
    41548 3265 Pages:683-711
  • A Contact Line Dynamic Model for a Conducting Water Drop on an Electrowetting Device

    Dongdong He & Huaxiong Huang
    2018-04-04
    40580 3160 Pages:811-834
  • A Modified Nonlocal Continuum Electrostatic Model for Protein in Water and Its Analytical Solutions for Ionic Born Models

    Dexuan Xie & Hans W. Volkmer
    2013-01-05
    40842 4331 Pages:174-194
  • Stabilization of Traffic Flow Based on the Multiple Information of Preceding Cars

    D. F. Xie, Z. Y. Gao & X. M. Zhao
    2008-03-01
    37692 3925 Pages:899-912
  • Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids

    Md. Afsar Ali, Hermann J. Eberl & Rangarajan Sudarsan
    2018-09-17
    45902 3140 Pages:695-741
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