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  • On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

    Hailiang Liu & Terrance Pendleton
    2018-04-04
    40657 3103 Pages:1015-1041
  • Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

    Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li
    2020-05-06
    49755 3666 Pages:1470-1484
  • 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
    47237 3332 Pages:1530-1574
  • Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

    Bradley E. Treeby, Elliott S. Wise & B. T. Cox
    2018-09-17
    46725 3302 Pages:623-634
  • Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

    Vyacheslav A. Trofimov, Maria M. Loginova & Vladimir A. Egorenkov
    2018-08-21
    45826 3512 Pages:1512-1533
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49304 3241 Pages:967-998
  • A Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 1 – Steady Flow

    S. C. Fu, W. W. F. Leung & R. M. C. So
    2014-07-05
    39205 4688 Pages:126-152
  • 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
  • A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

    Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim
    2019-12-07
    47064 3263 Pages:412-430
  • An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

    Craig Collins, Jie Shen & Steven M. Wise
    2013-08-05
    44002 4262 Pages:929-957
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48528 3188 Pages:1037-1060
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    4598 461 Pages:538-574
  • A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm

    Benoit Morel, Remo Giust, Kazem Ardaneh, Francois Courvoisier
    2021-01-13
    44288 3247 Pages:955-978
  • 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 Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 2 – Pulsatile Flow

    S. C. Fu, R. M. C. So & W. W. F. Leung
    2014-07-05
    38847 4522 Pages:153-173
  • Well-Organized MZT-ME-PML Approach for THz BP Metasurface Implementations

    Xue-Shi Li, Naixing Feng, Yuxian Zhang
    2020-12-02
    46291 3223 Pages:588-605
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45832 3893 Pages:1394-1412
  • A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

    Boling Guo, Qiang Xu & Ailing Zhu
    2018-04-03
    40706 3191 Pages:733-757
  • A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain

    Jan Nordström, Qaisar Abbas, Brittany A. Erickson & Hannes Frenander
    2014-08-03
    42457 4044 Pages:541-570
  • Operator Splitting for Three-Phase Flow in Heterogeneous Porous Media

    E. Abreu, J. Douglas, F. Furtado & F. Pereira
    2009-06-01
    38371 4157 Pages:72-84
  • Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

    Jiwei Zhang, Zhizhong Sun, Xiaonan Wu & Desheng Wang
    2011-10-01
    38860 3895 Pages:742-766
  • A Discrete Flux Scheme for Aerodynamic and Hydrodynamic Flows

    S. C. Fu, R. M. C. So & W. W. F. Leung
    2020-07-21
    39315 3736 Pages:1257-1283
  • Godunov-Type Numerical Methods for a Model of Granular Flow on Open Tables with Walls

    Adimurthi, Aekta Aggarwal & G. D. Veerappa Gowda
    2018-04-04
    40292 3162 Pages:1071-1105
  • A Numerical Thermal-Hydraulic Model to Simulate the Fast Transients in a Supercritical Water Channel Subjected to Sharp Pressure Variations

    Goutam Dutta, Jin Jiang, Rohit Maitri & Chao Zhang
    2020-07-31
    39923 3191 Pages:1529-1541
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47500 3849 Pages:154-187
  • Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

    Ruotai Li, Qiang Du, Lei Zhang
    2021-01-13
    47399 3435 Pages:729-746
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang
    2020-07-31
    38285 2942 Pages:1012-1049
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