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  • Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

    Adam Larios, Collin Victor
    2021-02-25
    https://doi.org/10.4208/cicp.OA-2018-0315
    43615 3142 pp. 1273-1298
  • A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

    Bin Lan, Zhiqiang Sheng & Guangwei Yuan
    2018-09-17
    https://doi.org/10.4208/cicp.OA-2017-0127
    44954 3659 pp. 1455-1476
  • Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles

    Silvia Palpacelli & Sauro Succi
    2020-07-31
    https://doi.org/10.4208/cicp.OA-2016-0239
    48726 3144 pp. 899-909
  • An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

    Wenjun Sun, Song Jiang & Kun Xu
    2017-10-02
    https://doi.org/10.4208/cicp.OA-2016-0261
    43527 3285 pp. 889-912
  • Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-08
    https://doi.org/10.4208/cicp.220415.090516a
    41142 4566 pp. 162-181
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    https://doi.org/10.4208/cicp.OA-2020-0047
    45679 3318 pp. 747-766
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    https://doi.org/10.4208/cicp.OA-2022-0239
    41484 2933 pp. 1240-1269
  • A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

    Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang
    2019-08-27
    https://doi.org/10.4208/cicp.2019.js60.06
    47897 3421 pp. 1597-1616
  • Numerical Study of Turbidity Current over a Three-Dimensional Seafloor

    Ching Hao Yu, Liang Zhao, Haw Liang Wen, Tony Wen Hann Sheu & Rui Dong An
    2018-12-08
    https://doi.org/10.4208/cicp.OA-2017-0241
    50542 3439 pp. 1177-1212
  • Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

    Vyacheslav A. Trofimov, Maria M. Loginova & Vladimir A. Egorenkov
    2018-08-21
    https://doi.org/10.4208/cicp.121015.080517a
    45741 3496 pp. 1512-1533
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise
    2018-08-21
    https://doi.org/10.4208/cicp.OA-2016-0197
    51465 3299 pp. 572-602
  • Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations

    F. Chinesta, E. Abisset-Chavanne, A. Ammar & E. Cueto
    2018-04-02
    https://doi.org/10.4208/cicp.2014.m326
    38683 2967 pp. 975-1006
  • A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

    B. Manach-Pérennou, R. Chauvin, S. Guisset, J.-P. Perlat
    2025-07-11
    https://doi.org/10.4208/cicp.OA-2024-0080
    5089 497 pp. 1-36
  • High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

    Guanlan Huang, Sebastiano Boscarino, Tao Xiong
    2024-06-14
    https://doi.org/10.4208/cicp.OA-2023-0274
    35549 1812 pp. 1229-1262
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    https://doi.org/10.4208/cicp.OA-2022-0081
    41010 3389 pp. 425-451
  • A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

    Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong
    2019-07-02
    https://doi.org/10.4208/cicp.OA-2018-0252
    44796 3146 pp. 1118-1142
  • A Parallel Adaptive Treecode Algorithm for Evolution of Elastically Stressed Solids

    Hualong Feng, Amlan Barua, Shuwang Li & Xiaofan Li
    2018-03-27
    https://doi.org/10.4208/cicp.220812.220513a
    40532 4077 pp. 365-387
  • A Bistable Field Model of Cancer Dynamics

    C. Cherubini, A. Gizzi, M. Bertolaso, V. Tambone & S. Filippi
    2012-11-01
    https://doi.org/10.4208/cicp.270710.220211a
    39482 4225 pp. 1-18
  • An Interface-Fitted Finite Element Level Set Method with Application to Solidification and Solvation

    Bo Li & John Shopple
    2011-10-01
    https://doi.org/10.4208/cicp.230510.240910a
    39073 4183 pp. 32-56
  • Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1

    Qingshan Chen, Zhen Qin & Roger Temam
    2011-03-05
    https://doi.org/10.4208/cicp.110909.160310s
    38821 3959 pp. 568-586
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    https://doi.org/10.4208/cicp.OA-2017-0181
    48187 3419 pp. 812-852
  • Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors

    Giacomo Dimarco, Lorenzo Pareschi & Vittorio Rispoli
    2014-05-05
    https://doi.org/10.4208/cicp.090513.151113a
    42337 3944 pp. 1291-1319
  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    https://doi.org/10.4208/cicp.OA-2023-0038
    24880 2105 pp. 633-661
  • A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

    Yaning Xie, Shuwang Li, Wenjun Ying
    2023-04-28
    https://doi.org/10.4208/cicp.OA-2022-0236
    32699 3018 pp. 764-794
  • 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
    https://doi.org/10.4208/cicp.OA-2021-0101
    45450 3150 pp. 707-738
  • 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
    https://doi.org/10.4208/cicp.OA-2021-0074
    49256 4172 pp. 60-93 Open Access
  • An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

    Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang
    2019-08-27
    https://doi.org/10.4208/cicp.2019.js60.07
    48814 3527 pp. 1444-1470
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