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  • An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

    G. Beckett, J. A. Mackenzie, M. L. Robertson
    2006-01-01
    39532 3964 pp. 805-826
  • 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
  • A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

    Philippe G. LeFloch, Hasan Makhlof
    2014-03-05
    DOI:10.4208/cicp.291212.160913a
    41685 4056 pp. 827-852
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    DOI:10.4208/cicp.250214.130814a
    40977 3028 pp. 317-336
  • A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

    Weizhu Bao, Ming-Huang Chai
    2008-04-01
    38678 4189 pp. 135-160
  • A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

    Wai-Sun Don, David Gottlieb, Jae-Hun Jung
    2009-05-01
    38810 3880 pp. 986-1011
  • 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
  • Solving Vlasov-Poisson-Fokker-Planck Equations Using $NRxx$ method

    Yanli Wang, Shudao Zhang
    2018-04-09
    DOI:10.4208/cicp.220415.080816a
    41261 3209 pp. 782-807
  • A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

    Wei Liu, Li Yuan, Chi-Wang Shu
    2011-10-01
    DOI:10.4208/cicp.201209.161010a
    40588 4066 pp. 785-806
  • Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method

    Shingyu Leung, Hongkai Zhao
    2010-08-01
    DOI:10.4208/cicp.190809.090210a
    39778 4130 pp. 758-796
  • Computing Optimal Forcing Using Laplace Preconditioning

    M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson
    2017-11-02
    DOI:10.4208/cicp.OA-2016-0070
    42783 3623 pp. 1508-1532
  • A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

    Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian
    2024-01-31
    DOI:10.4208/cicp.OA-2023-0161
    29102 2639 pp. 181-211
  • Bilinear Forms for the Recovery-Based Discontinuous Galerkin Method for Diffusion

    Marc van Raalte, Bram van Leer
    2018-04-11
    41176 3482 pp. 683-693
  • Multigrid Method for the Chan-Vese Model in Variational Segmentation

    Noor Badshah, Ke Chen
    2018-03-24
    38142 3903 pp. 294-316
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng, Weimin Han
    2018-04-03
    DOI:10.4208/cicp.230115.150615a
    40728 5281 pp. 226-250
  • A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

    S. Rahman, H. P. Langtangen, C. H. W. Barnes
    2018-03-24
    39425 3794 pp. 271-292
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    DOI:10.4208/cicp.OA-2022-0104
    31745 2650 pp. 530-562
  • A Reduced Basis Method for the Homogenized Reynolds Equation Applied to Textured Surfaces

    Michael Rom, Siegfried Müller
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0121
    46512 3393 pp. 481-509
  • A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

    Jian-Jun Xu, Yunqing Huang, Ming-Chih Lai, Zhilin Li
    2018-03-27
    DOI:10.4208/cicp.241012.310513a
    40598 4143 pp. 451-469
  • Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

    Ameya D. Jagtap, George Em Karniadakis
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0164
    151550 6990 pp. 2002-2041
  • Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

    Louisa Schlachter, Claudia Totzeck
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0221
    48410 3042 pp. 1585-1608
  • A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

    Alina Chertock, Armando Coco, Alexander Kurganov, Giovanni Russo
    2018-07-03
    DOI:10.4208/cicp.OA-2016-0133
    47454 5548 pp. 230-263
  • Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision

    Zhenning Cai, Yuwei Fan, Ruo Li, Zhonghua Qiao
    2014-05-05
    DOI:10.4208/cicp.220313.281013a
    42285 4118 pp. 1368-1406
  • 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
  • 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
    28110 1824 pp. 1387-1417
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He, Xiaogang Deng
    2012-12-01
    DOI:10.4208/cicp.210111.140711a
    40836 4646 pp. 284-314
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0239
    41861 3031 pp. 1240-1269
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