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  • A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

    Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu
    2021-07-01
    48944 3187 Pages:851-873
  • Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

    N. Anders Petersson & Björn Sjögreen
    2012-12-01
    40780 4447 Pages:193-225
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu
    2019-01-10
    49633 4111 Pages:1357-1393
  • A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes

    Jian Kang, Xinliang Li
    2020-12-02
    46497 3248 Pages:534-570
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46211 4304 Pages:237-264
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42686 3625 Pages:126-155
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50564 3535 Pages:1335-1364
  • A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

    Xiaodong Liu, Yidong Xia, Hong Luo & Lijun Xuan
    2018-04-04
    40367 3290 Pages:1016-1044
  • 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
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao & Guanghui Hu
    2017-10-02
    46409 3316 Pages:1049-1068
  • Development of an Explicit Symplectic Scheme that Optimizes the Dispersion-Relation Equation of the Maxwell's Equations

    Tony W. H. Sheu, L. Y. Liang & J. H. Li
    2013-08-05
    43468 4371 Pages:1107-1133
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang & Zhonghua Qiao
    2020-07-31
    41629 4270 Pages:1261-1278
  • 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
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    45316 3715 Pages:725-752
  • Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

    Ching-Hao Yu & Tony Wen-Hann Sheu
    2020-07-31
    38674 3130 Pages:931-956
  • An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

    Laiping Zhang, Ming Li, Wei Liu & Xin He
    2018-04-02
    42575 4381 Pages:287-316
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    40315 3819 Pages:767-788
  • High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

    Walter Boscheri, Raphaël Loubère
    2018-04-08
    41396 4639 Pages:271-312
  • 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
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen & Jie Xu
    2018-09-17
    48019 4743 Pages:635-654 Open-access
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu & Guanghui Hu
    2017-09-02
    44410 3179 Pages:829-851
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    4416 398 Pages:538-574
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3420 288 Pages:1210-1236
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    161 57 Pages:781-820
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    44777 3830 Pages:897-920
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang
    2020-07-31
    38228 2923 Pages:1012-1049
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