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  • Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

    B. Costa, W. S. Don, D. Gottlieb & R. Sendersky
    2006-01-01
    38381 4031 Pages:548-574
  • Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

    Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin
    2025-07-11
    5127 556 Pages:156-180
  • JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

    Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao
    2024-06-14
    27994 1792 Pages:1387-1417
  • Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

    Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun
    2024-05-06
    28881 1965 Pages:973-1002
  • A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

    Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider
    2024-05-06
    34995 2647 Pages:905-937
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24997 2187 Pages:609-632
  • Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

    Wenju Liu, Yanjiao Zhou, Zhiyue Zhang
    2024-03-13
    26459 2242 Pages:313-368
  • Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

    Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
    2023-11-08
    31843 2797 Pages:1133-1176
  • Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

    Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun
    2023-10-07
    34242 2776 Pages:837-868
  • On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

    Alexander V. Rodionov
    2023-10-07
    34074 2706 Pages:749-786
  • An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

    Zhicheng Hu, Guanghan Li
    2023-09-04
    32942 2737 Pages:357-391
  • Prediction of Moments in the Particles on Demand Method for LBM

    Elizaveta Zipunova, Anastasia Perepelkina, Vadim Levchenko, German Zvezdin
    2023-02-20
    43711 3723 Pages:144-173
  • Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

    S. A. Hosseini, B. Dorschner, I. V. Karlin
    2023-02-20
    44690 3810 Pages:39-56 Open-access
  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40855 3135 Pages:878-898
  • 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
  • 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
    307095 3600 Pages:299-335
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42259 3711 Pages:259-298
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    44481 3152 Pages:1561-1584
  • Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme

    Yifan Xia, Jianjing Zheng, Jianfeng Zou, Jifa Zhang, Gaofeng Wang, Yao Zheng
    2022-01-27
    42693 3246 Pages:626-644
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48528 3188 Pages:1037-1060
  • An Adaptive Cartesian Method for Prediction of the Unsteady Process of Aircraft Ice Accretion

    Chengxiang Zhu, Huanyu Zhao, Ning Zhao, Chunling Zhu, Yu Liu
    2021-05-25
    48989 3128 Pages:515-535
  • A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

    Stefano Zonca, Paola F. Antonietti, Christian Vergara
    2021-04-30
    51403 4646 Pages:1-33
  • Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

    Adam Larios, Collin Victor
    2021-02-25
    43713 3171 Pages:1273-1298
  • A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes

    Jian Kang, Xinliang Li
    2020-12-02
    46601 3267 Pages:534-570
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    45960 4614 Pages:128-147
  • Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh

    Michel Mehrenberger, Laurent Navoret, Nhung Pham
    2020-07-21
    46686 3178 Pages:877-901
  • Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes

    Pei Liu, Jerry Zhijian Yang, Cheng Yuan
    2020-06-05
    47825 3379 Pages:691-722
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