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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

  46810 5394 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

  47450 5538 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

  40346 4693 Pages:226-248

• Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme

  Irina Ginzburg, Frederik Verhaeghe, Dominique d'Humieres

  2008-03-01

  41850 4337 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., Jr. Henager

  2014-01-05

  40402 4240 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

  6554 501 Pages:850-886

• Closed-Loop Geothermal Systems: Modeling and Predictions

  K. Adhikari, M. K. Mudunuru, K. B. Nakshatrala

  2025-07-11

  5303 631 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

  36490 2925 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

  33602 2847 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

  44829 3228 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

  40005 3230 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

  39704 4456 Pages:1333-1362

• Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

  Junkai Wang, Qiaolin He

  2024-10-29

  17620 1217 Pages:1053-1089

• A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

  Jian Qin, Wei Lu, Peng Gao

  2024-10-29

  18390 1230 Pages:977-995

• Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

  Tianwei Yu, Roman Fuchs, Ralf Hiptmair

  2024-10-09

  15850 1316 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

  20220 1586 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

  42321 4470 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

  29073 2491 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

  31735 2645 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

  33593 2900 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

  41314 3495 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

  47147 3349 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

  47439 5573 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

  48731 3451 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

  43042 3211 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

  42829 3286 Pages:1221-1240

• Nonlocal Wave Propagation in Unbounded Multi-Scale Media

  Qiang Du, Jiwei Zhang, Chunxiong Zheng

  2020-07-31

  44331 3305 Pages:1049-1072