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  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu, Chi-Wang Shu
    2011-10-01
    40876 4329 Pages:979-1000
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galan del Sastre, Rodolfo Bermejo
    2011-09-01
    38671 3847 Pages:1020-1039
  • A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

    Chao Zhang, Qibing Li, Zhihui Li
    2026-04-03
    148 29 Pages:1620-1643
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    23002 1390 Pages:908-942
  • 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
    39887 3385 Pages:1264-1281
  • Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

    Chaoqun Liu, Ping Lu, Maria Oliveira, Peng Xie
    2012-11-01
    43997 3066997 Pages:1022-1042
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    25115 2218 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
    25108 2157 Pages:498-523
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40516 3353 Pages:477-510
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng, Feng Xiao
    2020-07-31
    39078 3096 Pages:901-930
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31580 2730 Pages:1043-1078
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    45046 3352 Pages:1299-1335
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    47366 3376 Pages:1530-1574
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng, Tiegang Liu
    2019-01-10
    47529 3945 Pages:1413-1445
  • 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
    41588 4733 Pages:271-312
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan, Zhijian Wang
    2012-12-01
    40874 4738 Pages:247-260
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4584 356 Pages:1417-1452
  • On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

    Alexander V. Rodionov
    2023-10-07
    34173 2752 Pages:749-786
  • A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

    Friedemann Klass, Alessandro Gabbana, Andreas Bartel
    2023-02-20
    46906 3996 Pages:101-117
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48674 4392 Pages:67-96
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo, Yan Xu
    2018-09-17
    67893 5545 Pages:123-151
  • A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

    Cheng Liu, Changhong Hu
    2017-10-02
    43817 3310 Pages:965-996
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara, Huijing Du
    2018-04-04
    41166 3203 Pages:841-880
  • Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

    Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan, S. C. Syue
    2018-04-03
    41796 3256 Pages:496-533
  • A Conservative Local Discontinuous Galerkin Method for the Schrödinger-KdV System

    Yinhua Xia, Yan Xu
    2020-07-31
    40945 4069 Pages:1091-1107
  • Nearly Singular Integrals in 3D Stokes Flow

    Svetlana Tlupova, J. Thomas Beale
    2013-11-05
    40522 3958 Pages:1207-1227
  • Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

    Haiyang Gao, Z. J. Wang, H. T. Huynh
    2013-08-05
    43771 4166 Pages:1013-1044
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