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  • RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

    Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu
    2025-11-07
    2711 116 Pages:296-322
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

    Yihui Han, Xiaoping Xie
    2019-07-02
    45496 3297 Pages:1039-1070
  • Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

    Chijie Zhuang, Mengmin Huang & Rong Zeng
    2020-07-31
    43183 3269 Pages:1259-1278
  • Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates.

    Weizhu Bao & Yongyong Cai
    2020-07-31
    46875 3282 Pages:899-965
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

    Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang
    2018-09-17
    51086 5768 Pages:86-103
  • Revision of DASHMM: Dynamic Adaptive System for Hierarchical Multipole Methods

    J. DeBuhr, B. Zhang & T. Sterling
    2018-07-03
    46271 5167 Pages:296-314
  • Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

    Huifang Zhou, Zhiqiang Sheng
    2025-11-07
    2596 119 Pages:147-184
  • Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

    Jianguo Huang, Hui Peng, Haohao Wu
    2025-01-22
    187 97 Pages:30-60
  • Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules I

    John C. Morrison, Scott Boyd, Luis Marsano, Bernard Bialecki, Thomas Ericsson & Jose Paulo Santos
    2009-05-01
    38732 4000 Pages:959-985
  • 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
    37349 2886 Pages:859-904
  • A Posteriori Error Estimates for Conservative Local Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Ohannes Karakashian & Yulong Xing
    2018-04-04
    42507 4742 Pages:250-278
  • Efficient Dynamic Floor Field Methods for Microscopic Pedestrian Crowd Simulations

    Dirk Hartmann & Peter Hasel
    2014-07-06
    40522 4169 Pages:264-286
  • Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

    Wenqiang Feng, Xiaoming He, Yanping Lin & Xu Zhang
    2020-07-31
    42199 4118 Pages:1045-1067
  • A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows III: Microflow Simulations

    Juan-Chen Huang, Kun Xu & Pubing Yu
    2013-11-05
    40588 4212 Pages:1147-1173
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw
    2018-03-27
    38660 3932 Pages:583-602
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He & Xiaogang Deng
    2012-12-01
    40690 4505 Pages:284-314
  • The $p$-Weighted Limiter for Nodal Discontinuous Galerkin Methods on Two Dimensional Mixed Grids

    Wanai Li, Xiaoquan Gong
    2025-04-27
    191 58 Pages:1085-1119
  • Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

    Gang Bao, Guanghui Hu & Di Liu
    2018-04-03
    41625 4662 Pages:1-23
  • A Hybrid Algorithm of Event-Driven and Time-Driven Methods for Simulations of Granular Flows

    Jun Huang & Ole Jørgen Nydal
    2011-10-01
    39898 4166 Pages:1027-1043
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    5837 370 Pages:729-765
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    23896 2061 Pages:816-858
  • Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

    Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle
    2010-08-01
    76 35 Pages:947-975 Open-access
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui
    2009-06-01
    70 42 Pages:203-230
  • Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

    X. Liang, A. Q. M. Khaliq & Y. Xing
    2020-07-30
    39930 2985 Pages:510-541
  • Some Recent Advances on Spectral Methods for Unbounded Domains

    Jie Shen & Li-Lian Wang
    2018-04-11
    42896 3946 Pages:195-241
  • An Optimization-Based Rezoning for ALE Methods

    Yibing Chen & Song Jiang
    2008-11-05
    37151 4171 Pages:1216-1244
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