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  • An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

    Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing
    2024-01-31
    28648 2438 Pages:107-138
  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2025-11-07
    2687 152 Pages:1-28
  • A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential

    Songze Chen, Zhaoli Guo, Kun Xu
    2020-07-21
    47407 3252 Pages:902-926
  • A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

    Lin Fu
    2019-07-02
    48449 3215 Pages:973-1007
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

    H. Q. Yang & Robert E. Harris
    2018-09-17
    45359 3408 Pages:356-382
  • A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations

    Qi Li, Song Jiang, Wenjun Sun
    2025-08-08
    4414 421 Pages:317-347
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu & Huazhong Tang
    2020-07-31
    41368 3926 Pages:911-943
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    40547 4586 Pages:599-620
  • Evaluation of Three Lattice Boltzmann Models for Particulate Flows

    Liang Wang, Zhaoli Guo, Baochang Shi & Chuguang Zheng
    2013-08-05
    43273 4525 Pages:1151-1172
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24879 2145 Pages:609-632
  • New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

    Liping Gao & Dong Liang
    2012-11-01
    39171 4188 Pages:1673-1696
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju & Nachiketa Mishra
    2011-09-01
    38761 3824 Pages:897-916
  • Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

    Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
    2023-04-28
    32110 2895 Pages:692-732
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng & Chi-Wang Shu
    2008-11-05
    39130 4526 Pages:1008-1024
  • Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate

    Chunyuan Xu, Qinghong Zeng
    2023-08-14
    33141 3252 Pages:38-64
  • A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

    Huangxin Chen, Amiya K. Pani, Weifeng Qiu
    2022-05-06
    44482 3270 Pages:1434-1466
  • A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

    R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud
    2021-12-06
    48170 4289 Pages:293-330
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49256 4172 Pages:60-93 Open-access
  • An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

    Shuai Su, Huazhong Tang, Jiming Wu
    2021-05-25
    48625 3111 Pages:448-485
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48428 4278 Pages:67-96
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45679 3318 Pages:747-766
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49089 3004 Pages:1609-1638
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    48674 3336 Pages:591-620
  • Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

    K. Monysekar, Y. V. S. S. Sanyasiraju
    2019-12-07
    44991 3113 Pages:460-479
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu & Nikolaus A. Adams
    2019-04-04
    49180 3288 Pages:311-345
  • A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

    Hui Xie, Xuejun Xu, Chuanlei Zhai & Heng Yong
    2018-09-17
    44991 3531 Pages:1375-1408
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