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  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43233 5627 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
    41726 4158 Pages:569-595
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40495 3961 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
    41123 4144 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
    43693 4759 Pages:1134-1150 Open-access
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan & Zhijian Wang
    2012-12-01
    40798 4679 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
    39890 4279 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
    39453 4213 Pages:978-996
  • 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
    2956 188 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
    3664 332 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
    22868 1342 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
    9293 537 Pages:975-1007
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao & Tao Zhou
    2020-07-30
    39341 3361 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
    39817 3370 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
    41820 3441 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
    40424 3071 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
    43918 3066965 Pages:1022-1042
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu & Jianxian Qiu
    2012-11-01
    42498 4175 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
    38332 4587 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
    6319 430 Pages:729-765
  • Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

    Jiahui Zhang, Yinhua Xia, Yan Xu
    2025-07-11
    5300 545 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
    27588 1967 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
    24997 2187 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
    24991 2119 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
    28422 2652 Pages:160-180
  • Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect

    Qiwei Feng, Bin Han, Michelle Michelle
    2023-10-07
    35917 2802 Pages:672-712
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41665 2977 Pages:1240-1269
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