Search Results

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

  DOI:10.4208/cicp.OA-2024-0135

  4609 357 pp. 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

  DOI:10.4208/cicp.OA-2022-0302

  3758 388 pp. 1173-1209

• Approximating and Preconditioning the Stiffness Matrix in the GoFD Approximation of the Fractional Laplacian

  Weizhang Huang, Jinye Shen

  2025-01-22

  DOI:10.4208/cicp.OA-2024-0079

  16171 1029 pp. 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

  DOI:10.4208/cicp.OA-2022-0284

  36494 2927 pp. 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

  DOI:10.4208/cicp.OA-2022-0263

  32318 2962 pp. 692-732

• A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

  Guoliang Zhang, Tao Xiong

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0248

  42894 3721 pp. 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

  DOI:10.4208/cicp.OA-2017-0151

  46242 3461 pp. 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

  DOI:10.4208/cicp.OA-2019-0029

  49898 3699 pp. 1470-1484