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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
    41967 3210 Pages:338-374
  • An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

    Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou
    2020-07-30
    39998 3316 Pages:1313-1335
  • Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures

    Yue Zhang, Chuang Zhang, Xinliang Song, Zhaoli Guo
    2025-09-02
    198 41 Pages:383-419
  • A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

    Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian
    2024-01-31
    28856 2454 Pages:181-211
  • Heterogeneous Multiscale Methods: A Review

    W. E, B. Engquist, X. Li, W. Ren & E. Vanden-Eijnden
    2007-02-01
    47453 5354 Pages:367-450 Open-access
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    195 57 Pages:1327-1357
  • Multiscale Hybrid Modeling of Proteins in Solvent: SARS-CoV2 Spike Protein as Test Case for Lattice Boltzmann — All Atom Molecular Dynamics Coupling

    Marco Lauricella, Letizia Chiodo, Fabio Bonaccorso, Mihir Durve, Andrea Montessori, Adriano Tiribocchi, Alessandro Loppini, Simonetta Filippi, Sauro Succi
    2023-02-20
    44097 3846 Pages:57-76
  • A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

    Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge
    2021-08-10
    48454 3164 Pages:1118-1149
  • Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

    Yalchin Efendiev, Bangti Jin, Michael Presho & Xiaosi Tan
    2018-04-02
    42745 4651 Pages:259-286
  • A Dynamical Concurrent Multiscale Method Employing a Transmitting Boundary to Minimize Wave Reflections at the Domain Interface

    Abhishek Vishwanath Rammohan, Vincent Beng Chye Tan
    2020-02-23
    46355 3080 Pages:1115-1139
  • AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold

    Haifeng Zou, Xiaowen Xu, Chen-Song Zhang, Zeyao Mo
    2024-07-29
    155 138 Pages:200-220
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    147 68 Pages:943-976
  • Blended Ghost Force Correction Method for 3D Crystalline Defects

    Lidong Fang, Lei Zhang
    2021-02-25
    44918 3167 Pages:1246-1272
  • A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates

    Yi Wang, Jiexing Zhang, Guoxi Ni
    2022-09-29
    40745 3244 Pages:779-809
  • Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

    Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti
    2022-03-03
    45450 3150 Pages:707-738
  • Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow

    Xiaojian Yang, Chang Liu, Xing Ji, Wei Shyy, Kun Xu
    2022-03-03
    57562 3766 Pages:669-706
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    42740 3302 Pages:398-448
  • Immersed Boundary Approach to Biofilm Spread on Surfaces

    Ana Carpio, Rafael González-Albaladejo
    2021-12-06
    49070 3832 Pages:257-292
  • A Modified Gas-Kinetic Scheme for Turbulent Flow

    Marcello Righi
    2014-07-06
    40342 4241 Pages:239-263
  • IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

    Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle
    2014-08-03
    42283 3980 Pages:307-347
  • A Numerical Study of Complex Reconstruction in Inverse Elastic Scattering

    Guanghui Hu, Jingzhi Li, Hongyu Liu & Qi Wang
    2020-07-31
    40749 3218 Pages:1265-1286
  • High-Order Unified Gas-Kinetic Scheme

    Gyuha Lim, Yajun Zhu, Kun Xu
    2022-10-28
    45690 3230 Pages:951-979
  • Effective Boundary Conditions: A General Strategy and Application to Compressible Flows over Rough Boundaries

    Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller
    2018-04-08
    42137 3199 Pages:358-400
  • Mathematical Models and Numerical Methods for High Frequency Waves

    O. Runborg
    2007-02-01
    38793 13668728 Pages:827-880
  • Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

    Jilian Wu, Xinlong Feng & Fei Liu
    2018-04-09
    43391 3163 Pages:1090-1117
  • A General Moving Mesh Framework in 3D and Its Application for Simulating the Mixture of Multi-Phase Flows

    Yana Di, Ruo Li & Tao Tang
    2008-03-01
    39982 4071 Pages:582-602
  • Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

    Hao Dong, Junzhi Cui, Yufeng Nie & Zihao Yang
    2018-04-09
    43106 3267 Pages:1173-1206
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