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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
    147761 6053 Pages:2002-2041
  • Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

    Yufei Wang, Ziju Shen, Zichao Long, Bin Dong
    2020-11-18
    62322 3419 Pages:2158-2179
  • Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

    Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu
    2020-11-18
    63767 3554 Pages:2075-2108
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    70207 3742 Pages:1707-1745
  • Dying ReLU and Initialization: Theory and Numerical Examples

    Lu Lu, Yeonjong Shin, Yanhui Su, George Em Karniadakis
    2020-11-18
    84943 3844 Pages:1671-1706
  • A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting

    Chen Yu, Haochen Li, Jiangjiang Xia, Hanqiuzi Wen, Pingwen Zhang
    2020-08-27
    50654 3287 Pages:1305-1320
  • The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications

    Julián T. Becerra-Sagredo, Rolf Jeltsch, Carlos Málaga
    2020-08-27
    50035 3161 Pages:1245-1273
  • Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation

    Shuang Tan, Wenjun Sun, Kun Xu, Junxia Wei, Guoxi Ni
    2020-07-21
    45548 3028 Pages:1189-1218
  • Accelerated Molecular Statics Based on Atomic Inertia Effect

    Fei Shuang, Pan Xiao, Yilong Bai, Fujiu Ke
    2020-07-21
    47628 3188 Pages:1019-1037
  • FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface

    Balthasar Reuter, Andreas Rupp, Vadym Aizinger, Florian Frank, Peter Knabner
    2020-06-05
    55037 3246 Pages:827-876
  • An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures

    Yu Mao Wu, Xin Lou, Ya-Qiu Jin, Zhaoguo Hou, Lizhi Xiao, Ning Zou, Hai Jing Zhou, Yang Liu
    2020-06-05
    48695 3237 Pages:661-678
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    48674 3336 Pages:591-620
  • Time-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element Method

    Yongchae Cho, Richard L. Gibson, Hyunmin Kim, Mikhail Artemyev, Yalchin Efendiev
    2020-06-05
    48980 4314 Pages:401-423
  • Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

    Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin
    2020-06-05
    51959 4487 Pages:297-327
  • Linear Wavefield Optimization Using a Modified Source

    Tariq Alkhalifah
    2020-06-05
    50096 4300 Pages:276-296
  • The Effect of Strong Near Surface Scattering on Seismic Imaging: Investigation Based on Resolution Analysis

    Xiao-Bi Xie, Baoqing He, Hongxiao Ning, Yongqing He, Bo Chen
    2020-06-05
    51150 4964 Pages:167-186
  • A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

    Qingqing Li, Li-Yun Fu, Weijia Sun, Wei Wei, Wanting Hou
    2020-06-05
    51163 4509 Pages:141-166
  • Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

    Ru-Shan Wu
    2020-06-05
    51993 4951 Pages:41-73
  • Evaluation of Selected Finite-Difference and Finite-Volume Approaches to Rotational Shallow-Water Flow

    Håvard H. Holm, André R. Brodtkorb, Göran Broström, Kai H. Christensen, Martin L. Sætra
    2020-02-23
    47318 3075 Pages:1234-1274
  • A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

    Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng
    2020-02-23
    47381 3203 Pages:1201-1233
  • A Dynamical Concurrent Multiscale Method Employing a Transmitting Boundary to Minimize Wave Reflections at the Domain Interface

    Abhishek Vishwanath Rammohan, Vincent Beng Chye Tan
    2020-02-23
    46355 3080 Pages:1115-1139
  • Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

    Xavier Antoine, Emmanuel Lorin
    2020-02-23
    47588 3269 Pages:1032-1052
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    49980 3295 Pages:949-975
  • Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

    Jialing Wang, Yushun Wang, Dong Liang
    2020-07-30
    44627 3643 Pages:828-860
  • An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System

    Thierry Goudon, Julie Llobell, Sebastian Minjeaud
    2020-07-30
    45852 3725 Pages:672-724
  • Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

    Stephan Gerster, Michael Herty
    2020-07-30
    48142 5679 Pages:639-671 Open-access
  • A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media

    Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Aleksey Tyrylgin
    2019-12-07
    44863 3291 Pages:619-638
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