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  • Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

    Weiming Li, Chang Liu, Peng Song
    2026-01-03
    DOI:10.4208/cicp.OA-2024-0181
    1926 98 pp. 919-940
  • The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

    Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen
    2024-07-29
    DOI:10.4208/cicp.OA-2023-0233
    24427 2361 pp. 221-247
  • Convergence Analysis for Over-Parameterized Deep Learning

    Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang
    2024-07-29
    DOI:10.4208/cicp.OA-2023-0264
    28088 2178 pp. 71-103
  • New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions

    Ritesh Khan, Sivaram Ambikasaran
    2025-04-27
    DOI:10.4208/cicp.OA-2024-0100
    9309 574 pp. 1157-1226
  • Correlation Functions, Universal Ratios and Goldstone Mode Singularities in $n$-Vector Models

    J. Kaupužs, R. V. N. Melnik, J. Rimšāns
    2014-05-05
    DOI:10.4208/cicp.260613.301013a
    42445 4083 pp. 1407-1430
  • Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

    Yuan Gao, Jian-Guo Liu
    2023-08-14
    DOI:10.4208/cicp.OA-2023-0021
    33226 3390 pp. 132-172
  • 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
    38190 2996 pp. 962-991
  • Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

    Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0233
    37814 3096 pp. 628-646
  • A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

    Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0207
    38944 3238 pp. 511-537
  • A New Function Space from Barron Class and Application to Neural Network Approximation

    Yan Meng, Pingbing Ming
    2023-01-24
    DOI:10.4208/cicp.OA-2022-0151
    38982 3536 pp. 1361-1400
  • A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner

    Vaishnavi Gujjula, Sivaram Ambikasaran
    2022-10-28
    DOI:10.4208/cicp.OA-2022-0103
    45921 3170 pp. 1061-1093
  • Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

    Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0241
    43790 3225 pp. 1585-1635
  • The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

    Renato Spigler
    2022-05-06
    DOI:10.4208/cicp.OA-2022-0001
    44645 3325 pp. 1341-1361
  • A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

    Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0186
    52182 3175 pp. 1272-1295
  • VAE-KRnet and Its Applications to Variational Bayes

    Xiaoliang Wan, Shuangqing Wei
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0087
    52394 3287 pp. 1049-1082
  • 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
    42943 3364 pp. 398-448
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0074
    49556 4334 pp. 60-93 Open Access
  • Shallow Water Moment Models for Bedload Transport Problems

    José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier, Tomás Morales de Luna
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0152
    49401 3242 pp. 903-941
  • Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

    Yufei Wang, Ziju Shen, Zichao Long, Bin Dong
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0194
    62676 3497 pp. 2158-2179
  • Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

    Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0214
    63895 3512 pp. 1838-1885
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0191
    70604 3843 pp. 1707-1745
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    DOI:10.4208/cicp.OA-2019-0059
    50187 3381 pp. 949-975
  • Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

    Feng Bao, Richard Archibald, Peter Maksymovych
    2019-12-07
    DOI:10.4208/cicp.OA-2018-0238
    47279 4983 pp. 589-618 Open Access
  • Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

    Sokratia Georgaka, Giovanni Stabile, Gianluigi Rozza, Michael J. Bluck
    2020-03-06
    DOI:10.4208/cicp.OA-2018-0207
    70575 6907 pp. 1-32
  • An MRT Extension to the Multigrid Lattice Boltzmann Method

    Charles Armstrong, Yan Peng
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0166
    45557 3238 pp. 1178-1195
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0005
    47446 5581 pp. 233-264
  • Moment Approximations and Model Cascades for Shallow Flow

    Julia Kowalski, Manuel Torrilhon
    2018-11-09
    DOI:10.4208/cicp.OA-2017-0263
    48805 3547 pp. 669-702
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