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  • Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0135
    43255 3339 pp. 1173-1206
  • Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

    Jilian Wu, Xinlong Feng, Fei Liu
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0064
    43531 3218 pp. 1090-1117
  • Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations

    Shidong Jiang, Jiwei Zhang, Qian Zhang, Zhimin Zhang
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0136
    52311 3461 pp. 650-678
  • Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

    Matej Klima, Milan Kucharik, Mikhail Shashkov
    2018-04-08
    DOI:10.4208/cicp.OA-2015-0021
    41701 3297 pp. 526-558
  • 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
    26533 2290 pp. 369-394
  • A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

    Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0180
    26439 2329 pp. 467-497
  • Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

    Simin Shekarpaz, Fanhai Zeng, George Karniadakis
    2024-01-31
    DOI:10.4208/cicp.OA-2023-0121
    29907 2823 pp. 1-37
  • 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
  • The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

    Yanjun Li, Yidu Yang, Hai Bi
    2023-09-04
    DOI:10.4208/cicp.OA-2023-0124
    34822 2752 pp. 503-529
  • Extended Hydrodynamic Models and Multigrid Solver of a Silicon Diode Simulation

    Zhicheng Hu, Ruo Li, Zhonghua Qiao
    2018-04-04
    DOI:10.4208/cicp.290615.020316a
    41027 3273 pp. 551-582
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0176
    31775 2641 pp. 1079-1132
  • On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

    Guilherme Cunha, Stephane Redonnet
    2018-04-04
    DOI:10.4208/cicp.060515.161115b
    39731 3179 pp. 325-352
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    DOI:10.4208/cicp.OA-2022-0253
    36257 2996 pp. 992-1034
  • Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors

    Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll
    2023-08-14
    DOI:10.4208/cicp.OA-2022-0115
    34946 3728 pp. 1-17
  • Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics

    Ruili Zhang, Jian Liu, Hong Qin, Yifa Tang, Yang He, Yulei Wang
    2020-07-31
    DOI:10.4208/cicp.scpde14.33s
    40904 3382 pp. 1397-1408
  • 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
    33864 3447 pp. 173-207
  • A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

    Yong Yang, Wenrui Hao, Yong-Tao Zhang
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0164
    45681 3293 pp. 1402-1433
  • Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

    Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0117
    46587 3648 pp. 367-398
  • Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

    Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0218
    41082 3304 pp. 596-627
  • A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

    Huangxin Chen, Amiya K. Pani, Weifeng Qiu
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0255
    44706 3344 pp. 1434-1466
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara, Huijing Du
    2018-04-04
    DOI:10.4208/cicp.050814.040915a
    41167 3205 pp. 841-880
  • Poisson Integrators Based on Splitting Method for Poisson Systems

    Beibei Zhu, Lun Ji, Aiqing Zhu, Yifa Tang
    2022-10-28
    DOI:10.4208/cicp.OA-2022-0144
    45584 3294 pp. 1129-1155
  • A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

    Jian Yu, Jan S. Hesthaven
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0118
    54879 4082 pp. 1309-1343
  • Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

    John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus, Thomas Ericsson
    2018-04-03
    DOI:10.4208/cicp.101114.170615a
    41360 3284 pp. 632-647
  • $C^0$IPG for a Fourth Order Eigenvalue Problem

    Xia Ji, Hongrui Geng, Jiguang Sun, Liwei Xu
    2018-04-03
    DOI:10.4208/cicp.131014.140715a
    42519 3232 pp. 393-410
  • Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

    Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand
    2022-03-03
    DOI:10.4208/cicp.OA-2021-0026
    45571 3194 pp. 816-868
  • Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

    Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti
    2022-03-03
    DOI:10.4208/cicp.OA-2021-0101
    45665 3211 pp. 707-738
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