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  • A Moving-Least-Square Immersed Boundary Method for Rigid and Deformable Boundaries in Viscous Flow

    Duc-Vinh Le & Boo-Cheong Khoo
    2017-10-02
    43505 3202 Pages:913-934
  • Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

    Jianguo Huang, Haohao Wu, Tao Zhou
    2025-11-28
    913 40 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
    60 27 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
    41967 3210 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
    48864 3467 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
    39156 4497 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
    44798 4925 Pages:44-68
  • A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

    Wenjun Ying & Wei-Cheng Wang
    2020-07-31
    40996 3866 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
    4142 256 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
    41501 4011 Pages:1029-1044
  • Unfitted Spectral Element Method for Interfacial Models

    Nicolas Gonzalez, Hailong Guo, Xu Yang
    2025-09-05
    3409 295 Pages:987-1016
  • The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

    Zhen Chen, Chang Shu & Danielle S. Tan
    2020-07-31
    51866 3232 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
    42153 4052 Pages:618-646
  • Modelling Particle Capture Efficiency with Lattice Boltzmann Method

    Jianhua Fan, Franck Lominé & Mustapha Hellou
    2020-07-31
    49879 3257 Pages:932-950
  • An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

    Xianmin Xu, Wenjun Ying
    2020-11-26
    46487 4245 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
    187 58 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
    194 87 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
    368 41 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
    39854 3477 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
    40903 4276 Pages:370-392
  • Optimization-Based String Method for Finding Minimum Energy Path

    Amit Samanta & Weinan E
    2014-08-05
    40985 4538 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
    187 97 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
    39998 4332 Pages:1408-1431
  • A Variational Binary Level Set Method for Structural Topology Optimization

    Xiaoxia Dai, Peipei Tang, Xiaoliang Cheng & Minghui Wu
    2013-05-05
    40222 4168 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
    42172 3092 Pages:1217-1239
  • A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

    Huiqiang Yue, Jian Cheng & Tiegang Liu
    2018-04-09
    42523 3218 Pages:375-392
  • 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
    50001 3378 Pages:1550-1589
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