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  • High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen
    2018-04-03
    41616 3326 Pages:273-300
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang, Guo-Wei Wei
    2014-11-08
    43315 5658 Pages:1201-1238
  • Numerical Validation for High Order Hyperbolic Moment System of Wigner Equation

    Ruo Li, Tiao Lu, Yanli Wang, Wenqi Yao
    2014-03-05
    41808 4194 Pages:569-595
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri, Michael Dumbser
    2013-11-05
    40598 3990 Pages:1174-1206
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti
    2014-08-05
    41216 4160 Pages:301-327
  • High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

    Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li, Yuqiu Gu
    2013-08-05
    43782 4829 Pages:1134-1150 Open-access
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan, Zhijian Wang
    2012-12-01
    40874 4740 Pages:247-260
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang, Chi-Wang Shu
    2011-03-05
    39975 4300 Pages:807-827
  • An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

    Takanori Haga, Keisuke Sawada, Z. J. Wang
    2020-07-30
    39534 4246 Pages:978-996
  • A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

    Chao Zhang, Qibing Li, Zhihui Li
    2026-04-03
    176 35 Pages:1620-1643
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2026-01-15
    3214 321 Pages:119-146
  • High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

    Guanlan Huang, Yulong Xing, Tao Xiong
    2025-09-05
    3826 373 Pages:1130-1172
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    23007 1393 Pages:908-942
  • 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
    9607 578 Pages:975-1007
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao, Tao Zhou
    2020-07-30
    39421 3388 Pages:1482-1503
  • High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

    Cheng Wang, Jianxu Ding, Sirui Tan, Wenhu Han
    2020-07-30
    39888 3386 Pages:1264-1281
  • High Order Finite Difference Discretization for Composite Grid Hierarchy and Its Applications

    Qun Gu, Weiguo Gao, Carlos J. García-Cervera
    2020-07-30
    41893 3469 Pages:1211-1233
  • Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

    Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham
    2020-07-30
    40498 3106 Pages:337-370
  • Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

    Chaoqun Liu, Ping Lu, Maria Oliveira, Peng Xie
    2012-11-01
    43997 3066998 Pages:1022-1042
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu, Jianxian Qiu
    2012-11-01
    42586 4218 Pages:985-1005
  • Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

    Alan R. Schiemenz, Marc A. Hesse, Jan S. Hesthaven
    2011-10-01
    38418 4623 Pages:433-452
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    6440 476 Pages:729-765
  • Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

    Jiahui Zhang, Yinhua Xia, Yan Xu
    2025-07-11
    5438 624 Pages:109-155
  • Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements

    Chunyu Chen, Long Chen, Xuehai Huang, Huayi Wei
    2024-05-06
    27702 2005 Pages:1045-1072
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    25118 2220 Pages:609-632
  • Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

    Lele Liu, Hong Zhang, Xu Qian, Songhe Song
    2024-03-13
    25112 2160 Pages:498-523
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28522 2747 Pages:160-180
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