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  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu & Chi-Wang Shu
    2011-10-01
    40760 4280 Pages:979-1000
  • Thermal Response Variability of Random Polycrystalline Microstructures

    Bin Wen, Zheng Li & Nicholas Zabaras
    2011-10-01
    39005 3961 Pages:607-634
  • An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids

    Jingrun Chen & Pingbing Ming
    2011-10-01
    39368 4393 Pages:70-89
  • Dirichlet-to-Neumann Map Method with Boundary Cells for Photonic Crystals Devices

    Jianhua Yuan & Ya Yan Lu
    2011-09-01
    38516 4424 Pages:113-128
  • On Spiral Waves Arising in Natural Systems

    D. Bini, C. Cherubini, S. Filippi, A. Gizzi & P. E. Ricci
    2010-08-01
    42231 4093 Pages:610-622
  • Development of Residual Distribution Schemes for the Discontinuous Galerkin Method: The Scalar Case with Linear Elements

    Rémi Abgrall & Chi-Wang Shu
    2018-04-11
    42519 3645 Pages:376-390
  • New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

    Fayssal Benkhaldoun & Mohammed Seaïd
    2008-04-01
    38729 4341 Pages:820-837
  • The Role of Anionic Protein Residues on the Salt Dependence of the Binding of Aminoacyl-tRNA Synthetases to tRNA: A Poisson-Boltzmann Analysis

    Johan H. Bredenberg, Alexander H. Boschitsch & Marcia O. Fenley
    2008-03-01
    39934 4105 Pages:1051-1070
  • On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

    T. Arens, S. N. Chandler-Wilde & J. A. DeSanto
    2020-07-31
    38853 3856 Pages:1010-1042
  • Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

    H. Liu, S. Osher & R. Tsai
    2006-01-01
    39506 3837 Pages:765-804
  • Elements of the Lattice Boltzmann Method I: Linear Advection Equation

    I. V. Karlin, S. Ansumali, C. E. Frouzakis & S. S. Chikatamarla
    2006-01-01
    39666 4023 Pages:616-655
  • High-Resolution 3-D Radar Imaging Through Nonuniform Fast Fourier Transform (NUFFT)

    J. Song, Q. H. Liu, K. Kim & W. R. Scott, Jr.
    2018-03-22
    41237 4552 Pages:176-191
  • Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

    Lei Zhang, Guowei He
    2026-01-18
    368 76 Pages:1267-1298
  • Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

    Zhanjing Tao, Zhengfu Xu, Jianxian Qiu
    2026-01-18
    207 43 Pages:1164-1198
  • Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

    Shi Jin, Nana Liu, Yue Yu
    2026-01-18
    372 117 Pages:969-1001
  • Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

    Weiming Li, Chang Liu, Peng Song
    2026-01-03
    1670 60 Pages:919-940
  • Weak Minimization-Sampling Network for Solving PDEs

    Zhenqian E, Weiguo Gao
    2026-01-03
    1690 76 Pages:696-712
  • 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
  • RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

    Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu
    2026-01-15
    3181 224 Pages:296-322
  • The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

    I. S. Popov
    2025-09-18
    4477 359 Pages:1237-1330
  • Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

    Tuowei Chen, Jiequan Li
    2025-09-05
    3664 326 Pages:953-986
  • Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies

    Gengjian Chen, Yuheng Ma, Jiwei Zhang
    2024-12-02
    15454 1102 Pages:1378-1410
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    15876 1169 Pages:1262-1306
  • A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

    Xinyu Liu, Jie Shen, Xiangxiong Zhang
    2024-12-02
    16999 1355 Pages:1157-1185
  • Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2024-10-29
    21846 1189 Pages:877-907
  • Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2024-10-09
    15699 1215 Pages:711-780
  • 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
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