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  • A Preconditioned 3-D Multi-Region Fast Multipole Solver for Seismic Wave Propagation in Complex Geometries

    S. Chaillat, J. F. Semblat & M. Bonnet
    2020-07-31
    40675 4191 Pages:594-609
  • A BEM/FEM Coupling Approach for Fluid-Structure Interaction Simulation of Cell Motion

    S. Y. Wang, P. Q. Chen, K. M. Lim & B. C. Khoo
    2010-07-01
    38458 4280 Pages:994-1026
  • A Comparative Study of Stochastic Collocation Methods for Flow in Spatially Correlated Random Fields

    Haibin Chang & Dongxiao Zhang
    2009-06-01
    39941 3867 Pages:509-535
  • The Error-Minimization-Based Strategy for Moving Mesh Methods

    K. Lipnikov & M. Shashkov
    2018-03-22
    39723 4186 Pages:53-80
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    276 80 Pages:1059-1102
  • Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

    Shi Jin, Nana Liu, Yue Yu
    2026-01-18
    372 117 Pages:969-1001
  • Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

    Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza
    2026-01-03
    1892 137 Pages:635-660
  • A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

    Chengming Zeng, Dongjun Jiang, Qibing Li
    2026-02-15
    3764 140 Pages:448-474
  • A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

    Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin
    2026-01-15
    3020 207 Pages:261-295
  • Total Variation Distance-Enhanced Selective Segmentation for Medical Images

    Po-Wen Hsieh, Chung-Lin Tseng, Suh-Yuh Yang
    2026-01-15
    2972 211 Pages:215-239
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2026-01-15
    2956 188 Pages:119-146
  • Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

    Wenxuan Guo, Qiang Zhang
    2026-01-15
    2936 156 Pages:78-118
  • An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity

    Qingguo Hong, Limin Ma, Daniel Fortino, Long-Qing Chen, Jinchao Xu
    2025-09-18
    4409 329 Pages:1498-1514
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4378 312 Pages:1417-1452
  • A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain

    Zixuan Cui, Lei Yang
    2025-09-18
    4336 350 Pages:1331-1354
  • High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

    Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen
    2025-09-05
    3752 371 Pages:1089-1129
  • A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields

    Lili Lv, Yiwei Feng, Weixiong Yuan, Liang Xu, Tiegang Liu
    2025-09-05
    3740 365 Pages:1053-1088
  • An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

    Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu
    2024-12-02
    16166 1104 Pages:1219-1261
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    22868 1342 Pages:908-942
  • Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes

    Changtao Sheng, Li-Lian Wang, Hongbin Chen, Huiyuan Li
    2024-10-09
    15275 1209 Pages:673-710
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    19548 1478 Pages:451-484
  • Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

    Jingwen Wu, Zhijun Tan
    2024-07-29
    24127 1699 Pages:104-132
  • A Time Variable Filter Approach for the Fluid-Fluid Interaction

    Wei Li, Pengzhan Huang, Yinnian He
    2025-05-29
    8946 517 Pages:1417-1451
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    9293 537 Pages:975-1007
  • An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

    Hongfei Zhan, Ting Wang, Guanghui Hu
    2025-04-27
    9276 535 Pages:921-941
  • Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

    Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
    2025-04-27
    9308 731 Pages:877-920 Open-access
  • Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries

    Yinjie Du, Liming Yang, Yang Xiao, Yuxin Song, Chang Shu
    2025-09-02
    10215 656 Pages:643-674
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