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  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    42129 4757 Pages:353-385 Open-access
  • High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

    Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
    2018-05-05
    41900 2981 Pages:693-702
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    39186 3449 Pages:737-768
  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36613 2978 Pages:1315-1334
  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    38210 3093 Pages:1256-1289
  • Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

    Demian De Feo, Ning Qin, Trevor J. Birch
    2019-02-13
    41582 4540 Pages:399-429
  • Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

    Gang Chen, Minfu Feng
    2018-05-05
    42038 3028 Pages:362-377
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42367 3065 Pages:282-306
  • Effect of Nonuniform Grids on High-Order Finite Difference Method

    Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong
    2018-05-05
    41038 2927 Pages:1012-1034
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45632 3111 Pages:1206-1224
  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    45171 3140 Pages:1162-1188
  • An Efficient Proximity Point Algorithm for Total-Variation-Based Image Restoration

    Wei Zhu, Shi Shu, Lizhi Cheng
    2014-06-01
    45023 4577 Pages:145-164
  • A Boundary Condition-Implemented Immersed Boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder

    X. Wang, C. Shu, J. Wu, L. M. Yang
    2021-07-01
    43689 4764 Pages:811-829
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48285 4102 Pages:1416-1437
  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46384 3392 Pages:815-834
  • A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

    Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
    2018-03-30
    42296 3155 Pages:180-195
  • Thermoelectric Viscoelastic Fluid with Fractional Integral and Derivative Heat Transfer

    Magdy A. Ezzat, A. S. Sabbah, A. A. El-Bary, S. M. Ezzat
    2018-05-05
    41685 3163 Pages:528-548
  • Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2018-05-05
    41270 3172 Pages:407-429
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    42019 4650 Pages:439-453
  • A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41449 4555 Pages:617-635
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270394 3806 Pages:1477-1508
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288865 4060 Pages:1333-1356
  • Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

    Jianyun Wang, Zhikun Tian
    2022-02-25
    49154 3407 Pages:652-665
  • Dynamic Loadings Induced Vibration of Third Order Shear Deformable FG-CNTRC Beams: Gram-Schmidt-Ritz Method

    Arisara Chaikittiratana, Nuttawit Wattanasakulpong
    2022-04-11
    44493 3619 Pages:816-841
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    119093 6098 Pages:1318-1354
  • A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

    Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
    2020-12-21
    47075 3349 Pages:671-700
  • Bifurcation and Chaos of Functionally Graded Carbon Nanotube Reinforced Composite Beam with Piezoelectric Layer

    Jinhua Yang, Gaofeng Sun, Jie Yang
    2020-12-21
    46422 3162 Pages:569-589
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