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  • Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

    Ameya D. Jagtap, George Em Karniadakis
    2020-11-18
    151476 6984 Pages:2002-2041
  • High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

    Bangde Liu, Guang Lin
    2020-11-18
    62700 3395 Pages:1937-1969
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67426 3706 Pages:1886-1906
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    49147 3309 Pages:1321-1351
  • Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

    Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin
    2020-06-05
    52215 4643 Pages:297-327
  • A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

    Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent
    2020-05-06
    50222 3432 Pages:1550-1589
  • An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction

    Li Li, Qian Chen, Zhiwei He, Yousheng Zhang, Baolin Tian
    2019-12-07
    48279 3165 Pages:546-568
  • Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

    Bo Li, Shanshan Tang, Haijun Yu
    2019-12-07
    52027 3444 Pages:379-411
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    54232 3707 Pages:1415-1443
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    46446 3335 Pages:768-784
  • On the Instabilities and Transitions of the Western Boundary Current

    Daozhi Han, Marco Hernandez, Quan Wang
    2019-02-25
    46342 4952 Pages:35-56
  • 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
    50720 3493 Pages:1177-1212
  • A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

    Si Gao, Tiegang Liu
    2018-11-09
    46350 3629 Pages:781-811
  • Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields Using Convolutional Neural Networks

    Carlos Michelen Strofer, Jin-Long Wu, Heng Xiao, Eric Paterson
    2018-11-09
    66837 6245 Pages:625-650 Open-access
  • Real-Time Diffusion Monte Carlo Method

    Ilkka Ruokosenmaki, Tapio T. Rantala
    2018-10-11
    45317 4805 Pages:347-360 Open-access
  • Fast Finite Element Method for the Three-Dimensional Poisson Equation in Infinite Domains

    Xiang Ma, Chunxiong Zheng
    2020-07-31
    43779 3318 Pages:1101-1120
  • A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

    Yueling Jia, Song Jiang, Baolin Tian, Eleuterio F. Toro
    2018-09-17
    45369 3466 Pages:309-331
  • Three-Dimensional Numerical Simulation of Droplet Evaporation Using the Lattice Boltzmann Method Based on GPU-CUDA Accelerated Algorithm

    Qingyu Zhang, Changsheng Zhu, Mingfang Zhu
    2020-07-31
    50240 3286 Pages:1150-1166
  • 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
    47454 5548 Pages:230-263
  • A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

    Hong Zhang, Paul Andries Zegeling
    2017-10-02
    43964 3295 Pages:935-964
  • Adaptive Stokes Preconditioning for Steady Incompressible Flows

    Cédric Beaume
    2018-04-09
    43962 3297 Pages:494-516
  • Three-Dimensional Cavitation Bubble Simulations Based on Lattice Boltzmann Model Coupled with Carnahan-Starling Equation of State

    Yanwen Su, Xuelin Tang, Fujun Wang, Xiaoqin Li, Xiaoyan Shi
    2018-04-09
    42550 3412 Pages:473-493
  • Precorrected-FFT Accelerated Singular Boundary Method for Large-Scale Three-Dimensional Potential Problems

    Weiwei Li, Wen Chen, Zhuojia Fu
    2018-04-09
    42954 3295 Pages:460-472
  • Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

    Xiang Lai, Zhiqiang Sheng, Guangwei Yuan
    2018-04-08
    41290 4659 Pages:162-181
  • A Probabilistic Automatic Steady State Detection Method for the Direct Simulation Monte Carlo

    A. Karchani, O. Ejtehadi, R. S. Myong
    2020-07-30
    42756 3658 Pages:1183-1209
  • Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions

    Ji Lin, C. S. Chen, Chein-Shan Liu
    2018-04-04
    40079 3200 Pages:512-533
  • A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

    E. O. Asante-Asamani, Bruce A. Wade
    2020-07-31
    40849 3402 Pages:1343-1356
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