Articles

• Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

  Liang Xu, Tiegang Liu

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  36127 2959 Pages:563-612

• On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations

  François Dubois, Pierre Lallemand

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  34560 2707 Pages:613-671

• Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect

  Qiwei Feng, Bin Han, Michelle Michelle

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  35917 2802 Pages:672-712

• Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

  Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez

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  35319 2828 Pages:713-748

• On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

  Alexander V. Rodionov

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  34074 2706 Pages:749-786

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

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  34705 2823 Pages:787-812

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

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  35482 2884 Pages:813-836

• Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

  Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun

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  34242 2776 Pages:837-868