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  • 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
  • Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

    Xiangjun Meng, Xuelian Bao, Zhengru Zhang
    2025-01-22
    15521 944 Pages:137-170
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    276 80 Pages:1059-1102
  • Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

    Qin Li, Pengxin Liu & Hanxin Zhang
    2020-07-30
    39710 3230 Pages:1417-1444
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45318 3173 Pages:913-946
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjögreen & Abdellah Hadjadj
    2012-12-01
    42297 4083 Pages:1603-1622
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    49038 3657 Pages:1024-1044
  • A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

    Hui Xie, Xuejun Xu, Chuanlei Zhai & Heng Yong
    2018-09-17
    45101 3550 Pages:1375-1408
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49398 4230 Pages:60-93 Open-access
  • A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

    Bin Lan, Zhiqiang Sheng & Guangwei Yuan
    2018-09-17
    45060 3682 Pages:1455-1476
  • A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows

    Jun-Bo Cheng, Yueling Jia, Song Jiang, Eleuterio F. Toro & Ming Yu
    2017-11-02
    42530 3504 Pages:1224-1257
  • An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes

    Shuai Miao, Jiming Wu, Yanzhong Yao
    2023-12-11
    33275 2636 Pages:1277-1305
  • An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids

    Yang Zhang, Laiping Zhang, Xin He & Xiaogang Deng
    2018-04-04
    40092 3162 Pages:459-485
  • Numerical Simulation of Free Surface by an Area-Preserving Level Set Method

    Tony W. H. Sheu & C. H. Yu
    2020-07-31
    39241 4036 Pages:1347-1371
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49455 3145 Pages:1224-1248
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47404 3915 Pages:1413-1445
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise
    2018-08-21
    51603 3339 Pages:572-602
  • A New Mapped WENO Scheme Using Order-Preserving Mapping

    Ruo Li, Wei Zhong
    2022-01-27
    43683 3265 Pages:548-592
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    47865 3213 Pages:771-815
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45486 4554 Pages:1008-1038 Open-access
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38999 3062 Pages:901-930
  • A Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

    S. Deng & W. Cai
    2006-01-01
    38445 3768 Pages:744-764
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu & Nikolaus A. Adams
    2019-04-04
    49299 3311 Pages:311-345
  • A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

    Huangxin Chen, Amiya K. Pani, Weifeng Qiu
    2022-05-06
    44581 3296 Pages:1434-1466
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45765 3336 Pages:747-766
  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40855 3135 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
    250 70 Pages:1027-1058
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