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  • Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

    Jiwei Zhang, Dongfang Li & Xavier Antoine
    2018-09-01
    46695 5340 Pages:218-243
  • 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
    47329 5477 Pages:230-263
  • Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

    Tao Tang & Tao Zhou
    2010-08-01
    40234 4619 Pages:226-248
  • Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme

    Irina Ginzburg, Frederik Verhaeghe & Dominique d'Humières
    2008-03-01
    41756 4298 Pages:519-581
  • A Phase-Field Model Coupled with Lattice Kinetics Solver for Modeling Crystal Growth in Furnaces

    Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky & Charles H. Henager Jr.
    2014-01-05
    40323 4172 Pages:76-92
  • Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

    Fang Feng, Hui Yang, Shengfeng Zhu
    2025-08-23
    6418 440 Pages:850-886
  • Closed-Loop Geothermal Systems: Modeling and Predictions

    K. Adhikari, M. K. Mudunuru, K. B. Nakshatrala
    2025-07-11
    5149 540 Pages:223-247
  • An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

    Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai
    2023-05-12
    36361 2889 Pages:1090-1105
  • Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets

    Karun P. N. Datadien, Gianluca Di Staso, Christian Diddens, Herman M. A. Wijshoff, Federico Toschi
    2023-04-28
    33485 2824 Pages:912-936
  • A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

    Alia Al-Ghosoun, Ashraf S. Osman, Mohammed Seaid
    2021-02-25
    44732 3204 Pages:1095-1124
  • A Numerical Thermal-Hydraulic Model to Simulate the Fast Transients in a Supercritical Water Channel Subjected to Sharp Pressure Variations

    Goutam Dutta, Jin Jiang, Rohit Maitri & Chao Zhang
    2020-07-31
    39923 3191 Pages:1529-1541
  • An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

    Zhijun Tan, K. M. Lim & B. C. Khoo
    2011-10-01
    39610 4428 Pages:1333-1362
  • Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

    Junkai Wang, Qiaolin He
    2024-10-29
    17515 1169 Pages:1053-1089
  • A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

    Jian Qin, Wei Lu, Peng Gao
    2024-10-29
    18290 1187 Pages:977-995
  • Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

    Tianwei Yu, Roman Fuchs, Ralf Hiptmair
    2024-10-09
    15750 1260 Pages:581-617
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    20108 1535 Pages:485-520
  • Numerical Simulation for Moving Contact Line with Continuous Finite Element Schemes

    Yongyue Jiang, Ping Lin, Zhenlin Guo & Shuangling Dong
    2018-04-03
    42234 4387 Pages:180-202
  • A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

    Pei Zhang, Yanli Wang, Zhennan Zhou
    2024-01-31
    28980 2436 Pages:70-106
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    31617 2613 Pages:530-562
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    33490 2855 Pages:261-289
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    41178 3454 Pages:425-451
  • PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

    Hailong Sheng, Chao Yang
    2022-10-28
    47021 3293 Pages:980-1006
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu
    2019-02-25
    47337 5497 Pages:233-264
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber & Zhiliang Xu
    2018-10-11
    48639 3413 Pages:586-624
  • A Fast Method for Evaluating Green's Function in Irregular Domains with Application to Charge Interaction in a Nanopore

    Qiyuan Zhao, Pei Liu & Zhenli Xu
    2020-07-31
    42950 3189 Pages:1241-1258
  • On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

    Bo Zhang, Dangxing Chen & Jingfang Huang
    2020-07-31
    42734 3244 Pages:1221-1240
  • Nonlocal Wave Propagation in Unbounded Multi-Scale Media

    Qiang Du, Jiwei Zhang & Chunxiong Zheng
    2020-07-31
    44233 3278 Pages:1049-1072
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