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  • 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
    47297 3061 pp. 1296-1316
  • 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
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    Dinghui Yang, Jiming Peng, Ming Lu, Tarnas Terlaky
    2006-01-01
    38365 3978 pp. 528-547
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0309
    28111 2092 pp. 1073-1119
  • A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

    Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu
    2023-10-07
    DOI:10.4208/cicp.OA-2023-0007
    34829 2871 pp. 787-812
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    D. Yang, J. Peng, M. Lu & T. Terlaky
    2006-01-01
    237 93 pp. 528-547
  • The Recursive Formulation of Particular Solutions for Some Elliptic PDEs with Polynomial Source Functions

    J. Ding, H. Y. Tian, C. S. Chen
    2009-05-01
    38838 3898 pp. 942-958
  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen, Lei Chen
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0114
    42382 3694 pp. 1325-1349
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0026
    77238 3710 pp. 907-933
  • Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

    Ji Lin, Yuhui Zhang, Thir Dangal, C. S. Chen
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0187
    44640 3609 pp. 1409-1434
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0096
    42407 3169 pp. 1217-1239
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0090
    42401 3301 pp. 1231-1257
  • Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

    Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0122
    32699 2970 pp. 849-883
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0169
    42988 3752 pp. 189-221
  • Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

    Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0130
    64587 3389 pp. 2109-2138
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    DOI:10.4208/cicp.OA-2021-0104
    45629 3277 pp. 739-770
  • A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

    Chengming Zeng, Dongjun Jiang, Qibing Li
    2026-02-15
    DOI:10.4208/cicp.OA-2024-0022
    4021 202 pp. 448-474
  • A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

    Weizhu Bao, Chunxiong Zheng
    2007-02-01
    38356 4521 pp. 123-140
  • A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows

    Jayeon Joo, Dongseok Kim, Hojun You, Chongam Kim
    2024-12-02
    DOI:10.4208/cicp.OA-2024-0063
    16042 1207 pp. 1307-1338
  • A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

    Juan-Chen Huang, Kun Xu, Pubing Yu
    2012-12-01
    DOI:10.4208/cicp.030511.220911a
    41044 4193 pp. 662-690
  • Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

    C. S. Chen, Andreas Karageorghis, Hui Zheng
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0163
    50536 3481 pp. 1530-1549
  • Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

    Long Yuan, Qiya Hu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0104
    46408 3907 pp. 1496-1522
  • A Front Tracking Method for the Simulation of Compressible Multimedium Flows

    Haitian Lu, Ning Zhao, Donghong Wang
    2018-04-03
    DOI:10.4208/cicp.260314.310315a
    40417 4798 pp. 124-142
  • Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

    Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu
    2023-06-06
    DOI:10.4208/cicp.OA-2023-0020
    39207 2950 pp. 1381-1408
  • A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows

    Dmitry Zviaga, Ido Silverman, Alexander Gelfgat, Yuri Feldman
    2022-09-29
    DOI:10.4208/cicp.OA-2022-0024
    41179 3280 pp. 737-778
  • Solutions of the 1D Coupled Nonlinear Schrödinger Equations by the CIP-BS Method

    Takayuki Utsumi, Takayuki Aoki, James Koga, Mitsuru Yamagiwa
    2018-03-24
    39240 4159 pp. 261-275
  • A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

    Jian Qin, Wei Lu, Peng Gao
    2024-10-29
    DOI:10.4208/cicp.OA-2024-0044
    18398 1232 pp. 977-995
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