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  • A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

    Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang
    2024-03-13
    25648 2150 Pages:524-552
  • A General Improvement in the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-05-06
    45047 3241 Pages:1362-1401
  • 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
    40414 3309 Pages:1016-1044
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31433 2689 Pages:1043-1078
  • 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
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    40999 3166 Pages:850-877
  • 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
    41711 3221 Pages:496-533
  • A New Mapped WENO Scheme Using Order-Preserving Mapping

    Ruo Li, Wei Zhong
    2022-01-27
    43683 3265 Pages:548-592
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43233 5627 Pages:1201-1238
  • Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

    E. Ferrer, D. Moxey, R. H. J. Willden & S. J. Sherwin
    2014-12-08
    39549 4078 Pages:817-840
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49232 3041 Pages:1609-1638
  • 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
  • Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

    Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang
    2020-06-05
    47326 3153 Pages:803-826
  • A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

    Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent
    2020-05-06
    50102 3397 Pages:1550-1589
  • 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
  • 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
    3601 327 Pages:1210-1236
  • Enhanced Second-Order Gauss-Seidel Projection Methods for the Landau-Lifshitz Equation

    Panchi Li, Xiao-Ping Wang
    2026-01-03
    1695 79 Pages:799-814
  • A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

    Tian Liang, Lin Fu
    2024-10-09
    16850 1209 Pages:618-650
  • Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

    Waixiang Cao, Lueling Jia, Zhimin Zhang
    2023-06-06
    37489 2925 Pages:1466-1508
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    45960 4614 Pages:128-147
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37384 3873 Pages:441-480
  • A Parallel, Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Arbitrary Grids

    Hong Luo, Luqing Luo, Amjad Ali, Robert Nourgaliev & Chunpei Cai
    2018-03-27
    38312 3784 Pages:363-389
  • Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan
    2018-03-27
    37957 3775 Pages:324-362
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu & Jue Yan
    2010-08-01
    44883 4499 Pages:541-564
  • 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
    15620 1216 Pages:781-820
  • 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
  • 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
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