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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
    46497 3248 Pages:534-570
  • 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
    45191 3103 Pages: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
    38616 4060 Pages:695-715
  • 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
    25510 2118 Pages:524-552
  • 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
    35722 2736 Pages:672-712
  • Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

    Yong Zhang
    2013-05-05
    40965 4110 Pages:1357-1388
  • 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
    3486 291 Pages: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
    39631 3017 Pages:673-706
  • 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
    40369 3053 Pages:337-370
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    38863 3109 Pages:1474-1509
  • 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
    48944 3187 Pages: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
    48428 4278 Pages: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
    44855 3295 Pages:1299-1335
  • 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
    47318 3075 Pages:1234-1274
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47308 3891 Pages:1413-1445
  • 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
    46151 3432 Pages:481-507
  • Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

    Yi Wang & Shuyu Sun
    2018-04-04
    39914 3194 Pages:405-440
  • Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings

    Cuong Ngo & Weizhang Huang
    2018-04-03
    41200 3221 Pages:473-495
  • A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

    Zhaoqin Huang, Xia Yan & Jun Yao
    2014-12-08
    39419 4258 Pages:799-816
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4120 256 Pages:1417-1452
  • Numerical Simulation of Power-Law Fluid Flow in a Trapezoidal Cavity Using the Incompressible Finite-Difference Lattice Boltzmann Method

    Xinmeng Chen, Zhenhua Chai, Yong Zhao, Baochang Shi
    2025-09-05
    3457 312 Pages:1173-1209
  • Approximating and Preconditioning the Stiffness Matrix in the GoFD Approximation of the Fractional Laplacian

    Weizhang Huang, Jinye Shen
    2025-01-22
    185 106 Pages:1-29
  • An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

    Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai
    2023-05-12
    36233 2866 Pages:1090-1105
  • 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
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42686 3625 Pages:126-155
  • Automatic Generation of Finite Difference Field Solvers for Toroidally Confined Plasmas

    Jingbo Lin, Wenlu Zhang, Pengfei Liu, Jintao Cao, Ding Li
    2020-07-21
    46025 3314 Pages:1176-1188
  • 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
    49633 3646 Pages:1470-1484
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