Search Results

• 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

• 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

• Truncated Gaussian RBF Differences are Always Inferior to Finite Differences of the Same Stencil Width

  John P. Boyd, Lei Wang

  2018-03-24

  37895 4424 pp. 42-60

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

  Fatih Cevik, Kahraman Albayrak

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0014

  42319 3412 pp. 393-421

• A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

  Wei Leng, Lili Ju, Max Gunzburger, Stephen Price

  2014-10-08

  DOI:10.4208/cicp.310813.010414a

  42710 4284 pp. 1056-1080

• High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

  Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun

  2020-11-26

  DOI:10.4208/cicp.OA-2020-0050

  47157 4566 pp. 1-56

• 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

• 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 Finite-Difference Lattice Boltzmann Approach for Gas Microflows

  G. P. Ghiroldi, L. Gibelli

  2018-04-02

  DOI:10.4208/cicp.2014.m424

  38939 2967 pp. 1007-1018

• An Adaptive, Finite Difference Solver for the Nonlinear Poisson-Boltzmann Equation with Applications to Biomolecular Computations

  Mohammad Mirzadeh, Maxime Theillard, Asdis Helgadottir, David Boy, Frederic Gibou

  2013-01-05

  DOI:10.4208/cicp.290711.181011s

  40920 4598 pp. 150-173

• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

  Jing-Mei Qiu, Chi-Wang Shu

  2011-10-01

  DOI:10.4208/cicp.180210.251110a

  40880 4332 pp. 979-1000

• 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