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  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31660 2601 Pages:1079-1132
  • Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles

    J. Spendlove, X. Xu, T. Schenkel, J. P. Gunn, I. Halliday
    2023-02-20
    44616 3581 Pages:283-309
  • A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows

    Dmitry Zviaga, Ido Silverman, Alexander Gelfgat, Yuri Feldman
    2022-09-29
    41082 3240 Pages:737-778
  • Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere

    Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani
    2020-07-21
    46960 3213 Pages:1085-1104
  • A Bipolar-Bisection Piecewise Encoding Scheme for Multi-Source Reverse Time Migration

    Xiaofeng Jia, Bin Chen, Qihua Li
    2020-06-05
    48004 3396 Pages:723-742
  • Estimating Primaries by Sparse Inversion with Cost-Effective Computation

    Xiaopeng Zhou, Yike Liu, Lanshu Bai
    2020-06-05
    48497 4368 Pages:477-497
  • An MRT Extension to the Multigrid Lattice Boltzmann Method

    Charles Armstrong, Yan Peng
    2019-07-02
    45450 3206 Pages:1178-1195
  • Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems

    Peng Wang, Jialin Hong & Dongsheng Xu
    2018-04-08
    41385 4600 Pages:237-270
  • Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

    S. Karimi & K. B. Nakshatrala
    2018-04-04
    39688 3199 Pages:374-404
  • An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems

    Xinming Wu & Weiying Zheng
    2018-04-03
    41312 3247 Pages:534-558
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou & Dong Liang
    2018-04-03
    41495 3208 Pages:411-441
  • Lattice Boltzmann Schemes with Relative Velocities

    François Dubois, Tony Fevrier & Benjamin Graille
    2018-04-02
    38895 3093 Pages:1088-1112
  • Boosted Hybrid Method for Solving Chemical Reaction Systems with Multiple Scales in Time and Population Size

    Yucheng Hu, Assyr Abdulle & Tiejun Li
    2012-12-01
    40181 4005 Pages:981-1005
  • Operator Factorization for Multiple-Scattering Problems and an Application to Periodic Media

    J. Coatléven & P. Joly
    2020-07-31
    40620 4131 Pages:303-318
  • A Generalized Numerical Approach for Modeling Multiphase Flow and Transport in Fractured Porous Media

    Yu-Shu Wu & Guan Qin
    2009-06-01
    38968 4434 Pages:85-108
  • Comparison and Improvement of the Computational Efficiencies of Two FFT-Based Iterative Solution Methods for the Scalar Multiple-Scattering Equation

    Kristopher T. Kim
    2018-03-24
    37087 4320 Pages:108-125
  • Stabilization of Traffic Flow Based on the Multiple Information of Preceding Cars

    D. F. Xie, Z. Y. Gao & X. M. Zhao
    2008-03-01
    37789 3965 Pages:899-912
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    21671 1212 Pages:943-976
  • 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
    19661 1568 Pages:521-550
  • Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

    Jihong Wang, Xin Wang, Jing Li, Bin Liu
    2025-05-29
    8885 481 Pages:1383-1416
  • Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise

    Liya Guo, Liwei Lu, Zhijun Zeng, Pipi Hu, Yi Zhu
    2025-05-29
    8922 499 Pages:1277-1304
  • An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

    Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao
    2025-09-02
    11746 904 Pages:575-602
  • A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

    Guoqiao You & Shingyu Leung
    2018-04-03
    42561 5269 Pages:203-229
  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina & Timothy Warburton
    2018-04-03
    42479 4590 Pages:37-64
  • Stochastic Collocation on Unstructured Multivariate Meshes

    Akil Narayan & Tao Zhou
    2018-04-03
    42915 5258 Pages:1-36
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    40900 3000 Pages:317-336
  • Bridging Methods for Atomistic-to-Continuum Coupling and Their Implementation

    Pablo Seleson & Max Gunzburger
    2010-07-01
    39346 4181 Pages:831-876
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