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  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhigiang Sheng, Guangwei Yuan
    2018-04-03
    DOI:10.4208/cicp.140813.230215a
    39497 3140 pp. 650-672
  • Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows

    Yan Wang, Chang Shu, Chiang Juay Teo, Jie Wu, Liming Yang
    2018-04-03
    DOI:10.4208/cicp.300514.160115a
    40046 3171 pp. 593-620
  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina, Timothy Warburton
    2018-04-03
    DOI:10.4208/cicp.070114.271114a
    42683 4695 pp. 37-64
  • Stochastic Collocation on Unstructured Multivariate Meshes

    Akil Narayan, Tao Zhou
    2018-04-03
    DOI:10.4208/cicp.020215.070515a
    42998 5343 pp. 1-36
  • Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method

    Jiayang Wu, Yongguang Cheng, Chunze Zhang, Wei Diao
    2018-04-02
    DOI:10.4208/cicp.2014.m385
    41509 3265 pp. 1271-1300
  • $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

    Michael Junk, Zhaoxia Yang
    2018-04-02
    DOI:10.4208/cicp.2014.m369
    41287 3373 pp. 1225-1245
  • A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows

    Peng Wang, Lianhua Zhu, Zhaoli Guo, Kun Xu
    2018-04-02
    DOI:10.4208/cicp.240614.171014a
    38444 3143 pp. 657-681
  • Numerical Buoyancy-Wave Model for Wave Stress and Drag Simulations in the Atmosphere

    M. Zirk, R. Room, A. Maennik, A. Luhamaa, M. Kaasik, S. Traud
    2014-01-05
    DOI:10.4208/cicp.281112.080513a
    40474 4346 pp. 206-245
  • Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

    Alan R. Schiemenz, Marc A. Hesse, Jan S. Hesthaven
    2011-10-01
    DOI:10.4208/cicp.030210.240910a
    38422 4625 pp. 433-452
  • A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

    Karol Mikula, Daniel Ševčovič, Martin Balažovjech
    2010-07-01
    DOI:10.4208/cicp.2009.08.169
    41223 4354 pp. 195-211
  • A Spectral Element Implementation for the M3D Extended MHD Code

    H. R. Strauss, B. Hientzsch, J. Chen
    2008-09-05
    39397 3910 pp. 506-518
  • A Network Based Approach for Unbalanced Optimal Transport on Surfaces

    Jiangong Pan, Wei Wan, Yuejin Zhang, Chenlong Bao, Zuoqiang Shi
    2025-08-23
    DOI:10.4208/cicp.OA-2024-0173
    6641 453 pp. 661-683
  • 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
    4741 503 pp. 538-574
  • Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

    Zijian Liu, Songze Chen, Shiyi Chen
    2025-08-08
    DOI:10.4208/cicp.OA-2023-0187
    4684 516 pp. 375-403
  • JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

    Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao
    2024-06-14
    DOI:10.4208/cicp.OA-2023-0156
    28115 1824 pp. 1387-1417
  • Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

    Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao
    2024-06-14
    DOI:10.4208/cicp.OA-2023-0315
    28526 2038 pp. 1263-1286
  • Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

    Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0256
    28993 1997 pp. 973-1002
  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0038
    25118 2172 pp. 633-661
  • 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
    25792 2193 pp. 524-552
  • A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

    Jie Xu, Xiaotian Yang, Zhiguo Yang
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0191
    26539 2290 pp. 369-394
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0065
    31245 2715 pp. 955-992
  • General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

    Jianan Zeng, Wei Su, Lei Wu
    2023-08-14
    DOI:10.4208/cicp.OA-2023-0068
    33866 3448 pp. 173-207
  • A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

    Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang
    2023-05-12
    DOI:10.4208/cicp.OA-2022-0148
    38193 2996 pp. 962-991
  • A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

    Jingrun Chen, Shi Jin, Liyao Lyu
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0144
    47301 3061 pp. 1296-1316
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0118
    54158 3231 pp. 1083-1113
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    DOI:10.4208/cicp.OA-2021-0126
    47992 3249 pp. 771-815
  • Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

    Francois Hermeline
    2022-01-27
    DOI:10.4208/cicp.OA-2021-0084
    42946 3365 pp. 398-448
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