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  • Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

    Jialing Wang, Yushun Wang, Dong Liang
    2020-07-30
    44627 3643 Pages:828-860
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    76945 3630 Pages:907-933
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-09-04
    35379 2818 Pages:290-317
  • Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

    Yufei Wang, Ziju Shen, Zichao Long, Bin Dong
    2020-11-18
    62322 3419 Pages:2158-2179
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40413 3938 Pages:1174-1206
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong & Jingjing Zhang
    2014-07-05
    39122 4745 Pages:219-241
  • Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

    Sihong Shao, Tiao Lu & Wei Cai
    2011-03-05
    39470 3920 Pages:711-739
  • Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

    Walter Boscheri, Giulia Bertaglia
    2024-09-06
    163 65 Pages:348-388
  • A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor

    Haohan Huang, Tian Liang, Lin Fu
    2023-05-12
    35994 2890 Pages:1106-1131
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37314 3845 Pages:441-480
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38930 3038 Pages:901-930
  • Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

    Stéphane Brull, Corentin Prigent
    2020-08-27
    49030 3154 Pages:1274-1304
  • A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

    Angela Ferrari, Claus-Dieter Munz & Bernhard Weigand
    2011-09-01
    39058 4348 Pages:205-230
  • Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

    C. Besse & T. Goudon
    2010-08-01
    40830 4099 Pages:1139-1182
  • Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

    Martin Kronbichler, Matthias Maier, Ignacio Tomas
    2025-07-11
    5012 494 Pages:74-108
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    49980 3295 Pages:949-975
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu
    2018-04-04
    40437 3173 Pages:835-869
  • The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

    Shamsul Qamar, Munshoor Ahmed & Ishtiaq Ali
    2012-12-01
    40259 4194 Pages:1070-1095
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    207 54 Pages:975-1007
  • A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

    Shubin Fu, Lina Zhao
    2025-07-11
    4940 472 Pages:285-316
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50735 3250 Pages:321-356
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi & Hailiang Liu
    2018-08-21
    46420 3214 Pages:747-772
  • A Local Velocity Grid Approach for BGK Equation

    Florian Bernard, Angelo Iollo & Gabriella Puppo
    2014-10-08
    41759 3889 Pages:956-982
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    42777 3619 Pages:189-221
  • A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes

    Wen-Qiang Hu, Zhi-Hui Li, Ao-Ping Peng, Xin-Yu Jiang
    2021-04-30
    48662 4199 Pages:144-189
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

    Qiannan Dong, Shuai Su, Jiming Wu
    2020-05-06
    50073 3628 Pages:1378-1412
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