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  • A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

    Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt
    2022-10-28
    47600 3512 Pages:1039-1060
  • Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

    M. C. Navarro, H. Herrero, A. M. Mancho, A. Wathen
    2018-03-24
    39724 4114 Pages:308-329
  • A Moving-Least-Square Immersed Boundary Method for Rigid and Deformable Boundaries in Viscous Flow

    Duc-Vinh Le, Boo-Cheong Khoo
    2017-10-02
    43654 3263 Pages:913-934
  • Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

    Jianguo Huang, Haohao Wu, Tao Zhou
    2026-02-15
    4057 188 Pages:553-577
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    D. Yang, J. Peng, M. Lu & T. Terlaky
    2006-01-01
    233 91 Pages:528-547
  • A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows

    Fei Fei, Zhaohui Liu, Jun Zhang, Chuguang Zheng
    2018-04-09
    42132 3284 Pages:338-374
  • A Two-Fold Structural Classification Method for Determining the Accurate Ensemble of Protein Structures

    Pan Tan, Zuyue Fu, Loukas Petridis, Shuo Qian, Delin You, Dongqing Wei, Jinglai Li, Liang Hong
    2018-12-08
    49041 3519 Pages:1010-1023
  • A 3D Numerical Method for Studying Vortex Formation Behind a Moving Plate

    T. Y. Hou, V. G. Stredie, T. Y. Wu
    2018-03-24
    39317 4550 Pages:207-228
  • An Improved Adaptive Minimum Action Method for the Calculation of Transition Path in Non-Gradient Systems

    Yiqun Sun, Xiang Zhou
    2018-09-17
    45010 5141 Pages:44-68
  • A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

    Wenjun Ying, Wei-Cheng Wang
    2020-07-31
    41158 3931 Pages:1108-1140
  • A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

    Xinyuan Liu, Tao Xiong, Yang Yang
    2025-09-18
    4548 332 Pages:1515-1551
  • Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations

    Jin Qi, Yue Wang, Jiequan Li
    2020-07-31
    41644 4064 Pages:1029-1044
  • Unfitted Spectral Element Method for Interfacial Models

    Nicolas Gonzalez, Hailong Guo, Xu Yang
    2025-09-05
    3673 373 Pages:987-1016
  • The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

    Zhen Chen, Chang Shu, Danielle S. Tan
    2020-07-31
    52099 3309 Pages:1131-1149
  • A Numerical Method and Its Error Estimates for the Decoupled Forward-Backward Stochastic Differential Equations

    Weidong Zhao, Wei Zhang, Lili Ju
    2014-03-05
    42323 4170 Pages:618-646
  • Modelling Particle Capture Efficiency with Lattice Boltzmann Method

    Jianhua Fan, Franck Lomine, Mustapha Hellou
    2020-07-31
    50076 3320 Pages:932-950
  • An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

    Xianmin Xu, Wenjun Ying
    2020-11-26
    46694 4388 Pages:57-79
  • An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains

    Yongli Hou, Yanqiu Wang
    2025-05-29
    9002 587 Pages:1227-1249
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    9390 595 Pages:1120-1156
  • A Modified Convolution Quadrature Combined with the Method of Fundamental Solutions and Galerkin BEM for Acoustic Scattering

    Ebraheem Aldahham, Lehel Banjai
    2025-09-02
    10225 561 Pages:761-782
  • A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution

    Aiyu Zhu, Congming Jin, Degang Zhao, Yang Xiang, Jingfang Huang
    2020-07-30
    39985 3526 Pages:1282-1312
  • A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems

    Eric T. Chung, Wing Tat Leung
    2014-08-05
    41038 4332 Pages:370-392
  • Optimization-Based String Method for Finding Minimum Energy Path

    Amit Samanta, E. Weinan
    2014-08-05
    41138 4619 Pages:265-275
  • Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

    Jianguo Huang, Hui Peng, Haohao Wu
    2025-01-22
    15989 1000 Pages:30-60
  • A Jacobian-Free Newton Krylov Implicit-Explicit Time Integration Method for Incompressible Flow Problems

    Samet Y. Kadioglu, Dana A. Knoll
    2013-05-05
    40142 4396 Pages:1408-1431
  • A Variational Binary Level Set Method for Structural Topology Optimization

    Xiaoxia Dai, Peipei Tang, Xiaoliang Cheng, Minghui Wu
    2013-05-05
    40364 4238 Pages:1292-1308
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42400 3164 Pages:1217-1239
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