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  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40949 3162 Pages:878-898
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    792 158 Pages:1027-1058
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo, Yan Xu
    2019-02-25
    50365 5372 Pages:87-113
  • Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

    Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu
    2024-06-14
    28003 1887 Pages:1352-1386
  • 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
    49145 3226 Pages:851-873
  • Stable and Efficient Modeling of Anelastic Attenuation in Seismic Wave Propagation

    N. Anders Petersson, Bjoern Sjoegreen
    2012-12-01
    40955 4583 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
    20224 1588 Pages:485-520
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu, Jun Liu
    2019-01-10
    49933 4189 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
    46702 3308 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
    46444 4465 Pages:237-264
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42893 3717 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
    50874 3663 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
    40511 3343 Pages:1016-1044
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2018-03-27
    37458 3907 Pages:441-480
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao, Guanghui Hu
    2017-10-02
    46553 3368 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
    43611 4435 Pages:1107-1133
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang, Zhonghua Qiao
    2020-07-31
    41800 4352 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
    49440 3275 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
    45507 3774 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
    38831 3181 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
    42721 4496 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
    40509 3872 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
    41592 4734 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
    5396 688 Pages:74-108
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen, Jie Xu
    2018-09-17
    48240 4846 Pages:635-654 Open-access
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    44547 3231 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
    4717 502 Pages:538-574
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