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  • A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows

    Fei Fei, Zhaohui Liu, Jun Zhang, Chuguang Zheng
    2018-04-09
    42138 3284 Pages:338-374
  • A Preconditioned Iterative Solver for the Scattering Solutions of the Schrödinger Equation

    Hisham bin Zubair, Bram Reps, Wim Vanroose
    2020-07-31
    40218 4026 Pages:415-434
  • A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

    Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo
    2025-05-29
    8966 560 Pages:1305-1326
  • A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

    Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun
    2023-05-12
    36523 2926 Pages:1164-1188
  • Simulation of Decoherence by Averaged Semiquantum Method

    Zhuo Wang, Quanlin Jie, Shi-Hui Zhang
    2010-07-01
    38493 4080 Pages:718-737
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    15739 1275 Pages:781-820
  • Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

    Jihong Wang, Xin Wang, Jing Li, Bin Liu
    2025-05-29
    9043 520 Pages:1383-1416
  • A Reduced Basis Method for the Homogenized Reynolds Equation Applied to Textured Surfaces

    Michael Rom, Siegfried Müller
    2018-09-17
    46512 3393 Pages:481-509
  • Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

    Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng
    2019-08-27
    48067 3500 Pages:1471-1489
  • The WASP Model: A Micro-Macro System of Wave-Schrödinger-Plasma Equations for Filamentation

    E. Lorin, S. Chelkowski, A. D. Bandrauk
    2018-03-27
    37897 3823 Pages:406-440
  • On Applicability of Poisson-Boltzmann Equation for Micro- and Nanoscale Electroosmotic Flows

    Moran Wang, Shiyi Chen
    2008-03-01
    40170 4215 Pages:1087-1099
  • Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions

    Na Li, Ping Lin, Fuzheng Gao
    2019-08-27
    46626 4312 Pages:1490-1509
  • An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

    Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang
    2019-08-27
    49024 3585 Pages:1444-1470
  • Gas Kinetic Scheme for Anisotropic Savage-Hutter Model

    Wen-Chi Chen, Chih-Yu Kuo, Keh-Ming Shyue, Yih-Chin Tai
    2013-05-05
    39845 4194 Pages:1432-1454
  • Application of Gas-Kinetic Unified Algorithm for Solving Boltzmann Model Equation with Vibrational Energy Excitation

    Fan Li, Zhi-Hui Li, Jia-Zhi Hu, Wen-Qiang Hu
    2025-01-22
    15517 972 Pages:250-288
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    797 159 Pages:1027-1058
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46174 3347 Pages:1071-1097
  • Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

    Chijie Zhuang, Mengmin Huang, Rong Zeng
    2020-07-31
    43382 3317 Pages:1259-1278
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19779 1616 Pages:521-550
  • Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods

    Elliott S. Wise, Ben T. Cox, Bradley E. Treeby
    2017-11-02
    42861 3562 Pages:1286-1308
  • A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

    Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li
    2024-05-06
    37610 2967 Pages:859-904
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    42988 3752 Pages:189-221
  • Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation: Implications for Filtered Turbulence Simulation

    Kannan N. Premnath, Sanjoy Banerjee
    2012-12-01
    40705 3936 Pages:732-766
  • An Application of the Level Set Method to Underwater Acoustic Propagation

    Sheri L. Martinelli
    2012-12-01
    42496 3991 Pages:1359-1391
  • Mass and Volume Conservation in Phase Field Models for Binary Fluids

    Jie Shen, Xiaofeng Yang, Qi Wang
    2013-08-05
    43246 4162 Pages:1045-1065
  • A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes

    Wen-Qiang Hu, Zhi-Hui Li, Ao-Ping Peng, Xin-Yu Jiang
    2021-04-30
    48834 4354 Pages:144-189
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    47157 4566 Pages:1-56
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