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  • A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes

    Jian Kang, Xinliang Li
    2020-12-02
    DOI:10.4208/cicp.OA-2019-0112
    46703 3310 pp. 534-570
  • Evaluation of Selected Finite-Difference and Finite-Volume Approaches to Rotational Shallow-Water Flow

    Håvard H. Holm, André R. Brodtkorb, Göran Broström, Kai H. Christensen, Martin L. Sætra
    2020-02-23
    DOI:10.4208/cicp.OA-2019-0033
    47528 3119 pp. 1234-1274
  • 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 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
    DOI:10.4208/cicp.OA-2021-0158
    45444 3207 pp. 913-946
  • The Parameter Averaging Technique in Finite-Difference Modeling of Elastic Waves in Combined Structures with Solid, Fluid and Porous Subregions

    Wei Guan, Hengshan Hu
    2011-10-01
    DOI:10.4208/cicp.020810.161210a
    38770 4117 pp. 695-715
  • Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

    Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham
    2020-07-30
    DOI:10.4208/cicp.111013.120914a
    40501 3107 pp. 337-370
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0191
    70604 3843 pp. 1707-1745
  • 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
    DOI:10.4208/cicp.OA-2023-0034
    25785 2193 pp. 524-552
  • Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

    Yong Zhang
    2013-05-05
    DOI:10.4208/cicp.251011.270412a
    41129 4168 pp. 1357-1388
  • 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
    DOI:10.4208/cicp.OA-2023-0062
    36040 2840 pp. 672-712
  • A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

    Zhaoqin Huang, Xia Yan, Jun Yao
    2014-12-08
    DOI:10.4208/cicp.050413.170314a
    39616 4342 pp. 799-816
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    DOI:10.4208/cicp.OA-2022-0111
    39097 3182 pp. 1474-1509
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng, Tiegang Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2017-0088
    47535 3947 pp. 1413-1445
  • 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
  • A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

    Po-Wen Hsieh, Yintzer Shih, Suh-Yuh Yang
    2011-10-01
    DOI:10.4208/cicp.070110.020710a
    39348 4449 pp. 161-182
  • A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

    Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0184
    49146 3227 pp. 851-873
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0073
    48680 4396 pp. 67-96
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    DOI:10.4208/cicp.OA-2020-0046
    45052 3353 pp. 1299-1335
  • Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

    Xue-Li Li, Yu-Xin Ren, Wanai Li
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0040
    46332 3487 pp. 481-507
  • Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

    Yi Wang, Shuyu Sun
    2018-04-04
    DOI:10.4208/cicp.210815.240316a
    40085 3263 pp. 405-440
  • Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings

    Cuong Ngo, Weizhang Huang
    2018-04-03
    DOI:10.4208/cicp.280315.140815a
    41366 3321 pp. 473-495
  • High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

    Guanlan Huang, Yulong Xing, Tao Xiong
    2025-09-05
    DOI:10.4208/cicp.OA-2023-0118
    3828 375 pp. 1130-1172
  • Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

    Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min, Huayong Liu
    2018-04-03
    DOI:10.4208/cicp.250614.060215a
    39790 3103 pp. 673-706
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan, Kun Xu
    2013-09-05
    DOI:10.4208/cicp.110212.021112a
    40711 4646 pp. 599-620
  • 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
    DOI:10.4208/cicp.OA-2022-0263
    32318 2962 pp. 692-732
  • 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
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