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  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao, Huaxiong Huang
    2019-04-04
    DOI:10.4208/cicp.OA-2018-0134
    47063 3488 pp. 389-412
  • Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

    Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu, Yonghong Wang
    2018-09-01
    DOI:10.4208/cicp.OA-2017-0108
    46099 5460 pp. 244-265
  • 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
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu
    2018-04-04
    DOI:10.4208/cicp.130715.010216a
    40589 3221 pp. 835-869
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphael Loubere, Michael Dumbser, Steven Diot
    2014-12-08
    DOI:10.4208/cicp.181113.140314a
    39691 3901 pp. 718-763
  • A Novel Numerical Method of O(h4 ) for Three-Dimensional Non-Linear Triharmonic Equations

    R. K. Mohanty, M. K. Jain, B. N. Mishra
    2012-12-01
    DOI:10.4208/cicp.080910.060112a
    42710 3972 pp. 1417-1433
  • A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

    Yuqi Wu, Xiao-Chuan Cai
    2020-07-31
    DOI:10.4208/cicp.060510.150511s
    39395 4030 pp. 1279-1299
  • 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
  • Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

    Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0176
    777 109 pp. 1231-1266
  • Loss Jump During Loss Switch in Solving PDEs with Neural Networks

    Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu
    2024-10-29
    DOI:10.4208/cicp.OA-2024-0096
    17522 1208 pp. 1090-1112
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    DOI:10.4208/cicp.OA-2022-0299
    9635 584 pp. 975-1007
  • Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network

    Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0300
    11896 916 pp. 315-352
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Qin Li, Pengxin Liu, Hanxin Zhang
    2020-07-30
    DOI:10.4208/cicp.150215.250515a
    39775 3261 pp. 1380-1416
  • 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
  • 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
  • Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

    Xavier Antoine, Emmanuel Lorin
    2020-02-23
    DOI:10.4208/cicp.OA-2018-0259
    47810 3359 pp. 1032-1052
  • 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
  • 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
  • Lattice Boltzmann Schemes with Relative Velocities

    Francois Dubois, Tony Fevrier, Benjamin Graille
    2018-04-02
    DOI:10.4208/cicp.2014.m394
    38984 3111 pp. 1088-1112
  • A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

    Wenjun Ying, Wei-Cheng Wang
    2020-07-31
    DOI:10.4208/cicp.170313.071113s
    41163 3938 pp. 1108-1140
  • Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

    Shanshan Jiang, Lijin Wang, Jialin Hong
    2014-08-05
    DOI:10.4208/cicp.230212.240812a
    41608 4024 pp. 393-411
  • Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

    M. C. Navarro, H. Herrero, A. M. Mancho, A. Wathen
    2018-03-24
    39725 4116 pp. 308-329
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