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  • 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 Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

    Weiyi Wang, Zhijun Tan
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0137
    49254 4953849 pp. 227-254
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju, Nachiketa Mishra
    2011-09-01
    DOI:10.4208/cicp.171209.300710a
    38898 3890 pp. 897-916
  • Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations

    N. Anders Petersson, Bjoern Sjoegreen
    2010-08-01
    DOI:10.4208/cicp.041109.120210a
    40746 4052 pp. 1074-1110
  • A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems Based on a Reconstruction Operator

    Fuchang Huo, Ruishu Wang, Yanqiu Wang, Ran Zhang
    2026-04-10
    DOI:10.4208/cicp.OA-2024-0155
    175 41 pp. 239-262
  • Central Schemes and Second Order Boundary Conditions for 1D Interface and Piston Problems in Lagrangian Coordinates

    Riccardo Fazio, Giovanni Russo
    2010-08-01
    DOI:10.4208/cicp.310109.220110a
    39876 4058 pp. 797-822
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    DOI:10.4208/cicp.OA-2024-0241
    3792 371 pp. 923-952
  • SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

    Antun Balaž, Ivana Vidanović, Danica Stojiljković, Dušan Vudragović, Aleksandar Belić, Aleksandar Bogojević
    2012-11-01
    DOI:10.4208/cicp.131210.180411a
    42970 4109 pp. 739-755
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang, Xiaoying Deng
    2010-07-01
    DOI:10.4208/cicp.2009.09.088
    39090 4438 pp. 1027-1048
  • An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

    Laiping Zhang, Ming Li, Wei Liu, Xin He
    2018-04-02
    DOI:10.4208/cicp.091113.280714a
    42723 4496 pp. 287-316
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0106
    47456 3151 pp. 1105-1132
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia, Hongxing Rui
    2009-06-01
    205 160 pp. 203-230
  • Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

    Yong-Tao Zhang, Chi-Wang Shu
    2018-04-11
    43199 3923 pp. 836-848
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekstrom, Jan Nordstrom
    2018-04-11
    41955 3617 pp. 456-468
  • Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

    X. Liang, A. Q. M. Khaliq, Y. Xing
    2020-07-30
    DOI:10.4208/cicp.060414.190914a
    40066 3032 pp. 510-541
  • A Multiple Temperature Kinetic Model and Its Application to Near Continuum Flows

    Kun Xu, Hongwei Liu
    2008-11-05
    36960 4115 pp. 1069-1085
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    DOI:10.4208/cicp.OA-2023-0025
    20233 1592 pp. 485-520
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0235
    42379 3776 pp. 259-298
  • Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

    Richard Liska, Mikhail Shashkov
    2008-03-01
    38071 4185 pp. 852-877
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0064
    50093 4593 pp. 97-123
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0127
    49320 4002 pp. 94-130
  • Discrete Image Approximations of Ionic Solvent Induced Reaction Field to Charges

    Shaozhong Deng, Wei Cai
    2007-02-01
    37263 3835 pp. 1007-1026
  • Least-Squares Recovery of Dual Variables in ROMs for Saddle-Point Problems

    M. Azaïez, T. Chacόn Rebollo, M. Oulghelou, I. Sánchez Muñoz
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0040
    767 153 pp. 1002-1026
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    DOI:10.4208/cicp.030211.040811a
    40509 3874 pp. 767-788
  • Variational Low-Light Image Enhancement Based on Fractional-Order Differential

    Qianting Ma, Yang Wang, Tieyong Zeng
    2024-01-31
    DOI:10.4208/cicp.OA-2022-0197
    28899 2788 pp. 139-159
  • First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow

    Soorok Ryu, Sang Dong Kim, Hyung-Chun Lee
    2010-07-01
    DOI:10.4208/cicp.2009.09.067
    38639 3962 pp. 738-758
  • Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

    Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang
    2025-08-23
    DOI:10.4208/cicp.OA-2024-0256
    6599 519 pp. 684-710
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