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  • 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
    51465 3299 Pages:572-602
  • 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
    41647 3200 Pages:496-533
  • 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
    50001 3378 Pages:1550-1589
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37314 3845 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
    38252 3761 Pages:363-389
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu & Jue Yan
    2010-08-01
    44752 4459 Pages:541-564
  • 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
    24879 2091 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
    24879 2145 Pages:609-632
  • An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

    Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong
    2024-04-10
    24602 2037 Pages:662-692
  • 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
    47752 3186 Pages:771-815
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    23896 2061 Pages:816-858
  • Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

    Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
    2023-04-28
    32110 2895 Pages:692-732
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    302871 3313 Pages:364-400
  • 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
    38401 3746 Pages:744-764
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    45316 3715 Pages:725-752
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49667 3533 Pages:1127-1143
  • Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

    Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu
    2024-06-14
    27753 1809 Pages:1352-1386
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju & Nachiketa Mishra
    2011-09-01
    38761 3824 Pages:897-916
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekström & Jan Nordström
    2018-04-11
    41752 3542 Pages:456-468
  • A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

    Wenjun Ying
    2020-07-31
    43976 3204 Pages:1196-1220
  • 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
    42449 3476 Pages:1224-1257
  • A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

    Cheng Liu & Changhong Hu
    2017-10-02
    43621 3243 Pages:965-996
  • 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
    33148 2606 Pages:1277-1305
  • Towards Preserving Geometric Properties of Landau-Lifshitz-Gilbert Equation Using Multistep Methods

    Jiajun Zhan, Lei Yang, Rui Du, Zixuan Cui
    2024-06-14
    27857 1805 Pages:1327-1351
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40413 3938 Pages:1174-1206
  • Subspace Trajectory Piecewise-Linear Model Order Reduction for Nonlinear Circuits

    Xiaoda Pan, Hengliang Zhu, Fan Yang & Xuan Zeng
    2013-09-05
    39190 3898 Pages:639-663
  • A Time Variable Filter Approach for the Fluid-Fluid Interaction

    Wei Li, Pengzhan Huang, Yinnian He
    2025-05-29
    186 63 Pages:1417-1451
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