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  • An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

    Jiao Liu, Zhenhua Chai, Baochang Shi
    2024-06-14
    28157 1838 Pages:1309-1326
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

    Wenju Liu, Yanjiao Zhou, Zhiyue Zhang
    2024-03-13
    26355 2190 Pages:313-368
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    45316 3715 Pages:725-752
  • Burnett Order Stress and Spatially-Dependent Boundary Conditions for the Lattice Boltzmann Method

    Timothy Reis
    2020-03-06
    52802 5210 Pages:167-197
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

    Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu
    2020-07-30
    41684 3071 Pages:458-486
  • A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

    Lei Li, Yuzhou Peng
    2025-08-23
    5986 410 Pages:630-660
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai & Xiaoping Wu
    2018-04-09
    43107 3303 Pages:1065-1089
  • A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

    Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang
    2025-07-11
    5046 565 Pages:181-222
  • A Well-Conditioned Hypersingular Boundary Element Method for Electrostatic Potentials in the Presence of Inhomogeneities within Layered Media

    Brian Zinser & Wei Cai
    2018-04-04
    40759 3186 Pages:970-997
  • A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

    Boling Guo, Qiang Xu & Ailing Zhu
    2018-04-03
    40645 3175 Pages:733-757
  • High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

    Jian Deng, Cristina Anton & Yau Shu Wong
    2014-07-06
    41218 4201 Pages:169-200
  • 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 Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

    Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou
    2023-10-07
    35332 2836 Pages:813-836
  • Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

    Richen Li, Qingbiao Wu, Shengfeng Zhu
    2021-05-25
    48273 3293 Pages:396-422
  • Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

    Jiwei Zhang, Zhizhong Sun, Xiaonan Wu & Desheng Wang
    2011-10-01
    38806 3871 Pages:742-766
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    45431 3205 Pages:739-770
  • Central Schemes and Second Order Boundary Conditions for 1D Interface and Piston Problems in Lagrangian Coordinates

    Riccardo Fazio & Giovanni Russo
    2010-08-01
    39709 3989 Pages:797-822
  • SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

    Antun Balaž, Ivana Vidanović, Danica Stojiljković, Dušan Vudragović, Aleksandar Belić, Aleksandar Bogojević
    2012-11-01
    42831 4045 Pages:739-755
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    47228 3099 Pages:1105-1132
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui
    2009-06-01
    70 42 Pages:203-230
  • On Triangular Lattice Boltzmann Schemes for Scalar Problems

    François Dubois & Pierre Lallemand
    2020-07-31
    40738 4044 Pages:649-670
  • Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

    Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang
    2025-08-23
    5916 407 Pages:684-710
  • Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

    Guillaume Fenger, Olivier Goubet, Youcef Mammeri
    2019-08-27
    47064 3645 Pages:1397-1414
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

    M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega
    2018-09-17
    44381 4664 Pages:1556-1578 Open-access
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