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  • 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
    DOI:10.4208/cicp.2019.js60.15
    47370 3378 pp. 1530-1574
  • Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

    Weizhu Bao, Yue Feng, Wenfan Yi
    2019-08-27
    DOI:10.4208/cicp.2019.js60.03
    48248 3530 pp. 1307-1334
  • Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

    Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao, Ding Li
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0139
    47755 4934 pp. 655-671 Open Access
  • Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

    Bradley E. Treeby, Elliott S. Wise, B. T. Cox
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0192
    46850 3342 pp. 623-634
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li, Hong Wang
    2018-09-17
    DOI:10.4208/cicp.OA-2018-0001
    47146 3347 pp. 531-556
  • 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
    DOI:10.4208/cicp.121015.080517a
    45943 3537 pp. 1512-1533
  • A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

    Alina Chertock, Armando Coco, Alexander Kurganov, Giovanni Russo
    2018-07-03
    DOI:10.4208/cicp.OA-2016-0133
    47454 5548 pp. 230-263
  • A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

    Hong Zhang, Paul Andries Zegeling
    2017-10-02
    DOI:Vol. 22, No. 4, pp. 913-934
    43964 3295 pp. 935-964
  • Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

    John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus, Thomas Ericsson
    2018-04-03
    DOI:10.4208/cicp.101114.170615a
    41360 3284 pp. 632-647
  • Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

    N. Anders Petersson, Bjoern Sjoegreen
    2014-10-08
    DOI:10.4208/cicp.290113.220514a
    42674 4139 pp. 913-955
  • Rotational Slip Flow in Coaxial Cylinders by the Finite-Difference Lattice Boltzmann Methods

    Minoru Watari
    2020-07-21
    DOI:10.4208/cicp.231009.091110s
    39404 3994 pp. 1293-1314
  • Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method

    Huayu Li, Hyungson Ki
    2018-03-24
    38590 4013 pp. 337-349
  • Comparison of Finite Difference and Mixed Finite Element Methods for Perfectly Matched Layer Models

    V. A. Bokil, M. W. Buksas
    2007-02-01
    38792 4030 pp. 806-826
  • 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
    DOI:10.4208/cicp.OA-2023-0153
    15739 1275 pp. 781-820
  • 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
    DOI:10.4208/cicp.OA-2024-0071
    16975 1259 pp. 618-650
  • High Order Finite Difference Discretization for Composite Grid Hierarchy and Its Applications

    Qun Gu, Weiguo Gao, Carlos J. García-Cervera
    2020-07-30
    DOI:10.4208/cicp.260514.101214a
    41895 3469 pp. 1211-1233
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    DOI:10.4208/cicp.250214.130814a
    40977 3028 pp. 317-336
  • Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows

    Murilo F. Tome, Renato A. P. Silva, Cassio A. Oishi, Sean McKee
    2018-03-24
    38810 4181 pp. 367-395
  • Grown-in Defects of InSb Crystals: Models and Computation

    N. Vaidya, H. Huang & D. Liang
    2006-01-01
    205 91 pp. 511-527
  • Grown-in Defects of InSb Crystals: Models and Computation

    N. Vaidya, H. Huang, D. Liang
    2006-01-01
    38503 3912 pp. 511-527
  • 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
    DOI:10.4208/cicp.OA-2024-0152
    4737 503 pp. 538-574
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0002
    25125 2223 pp. 609-632
  • A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

    Yaning Xie, Shuwang Li, Wenjun Ying
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0236
    32924 3086 pp. 764-794
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0081
    41322 3496 pp. 425-451
  • Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map

    Guoqiao You, Changfeng Xue, Shaozhong Deng
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0193
    44154 3324 pp. 1467-1488
  • Numerical Integrators for Dispersion-Managed KdV Equation

    Ying He, Xiaofei Zhao
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0216
    51284 3214 pp. 1180-1214
  • A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

    Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
    2021-02-25
    DOI:10.4208/cicp.OA-2020-0119
    48592 3439 pp. 979-1029
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