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  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    28124 2049 Pages:1-29
  • A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain

    Liwei Tan, Minsheng Huang, Shuai Zhu, Pan Wang, Wenjun Ying
    2025-05-29
    9080 581 Pages:1250-1276
  • 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
    9009 588 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
    9399 598 Pages:1120-1156
  • 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
    9427 588 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
    9417 836 Pages:877-920 Open-access
  • Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

    Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang
    2025-09-02
    10362 591 Pages:849-876
  • A Four-State HLL Riemann Solver for Numerical Simulation of Magneto-Hydrodynamics Based on the Least Squares Solution for the Middle Wave

    Xinyue Xi, Xiaocheng Guo, Chi Wang
    2025-09-02
    10291 585 Pages:675-700
  • A Front Tracking Method for the Simulation of Compressible Multimedium Flows

    Haitian Lu, Ning Zhao, Donghong Wang
    2018-04-03
    40417 4798 Pages:124-142
  • Geometric Numerical Integration for Peakon b-Family Equations

    Wenjun Cai, Yajuan Sun, Yushun Wang
    2018-04-03
    40082 4544 Pages:24-52
  • High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

    Cheng Wang, Jianxu Ding, Sirui Tan, Wenhu Han
    2020-07-30
    39891 3388 Pages:1264-1281
  • Lattice Boltzmann Simulation of Particle Motion in Binary Immiscible Fluids

    Yu Chen, Qinjun Kang, Qingdong Cai, Moran Wang, Dongxiao Zhang
    2018-04-03
    39673 3141 Pages:757-786
  • Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows

    Yan Wang, Chang Shu, Chiang Juay Teo, Jie Wu, Liming Yang
    2018-04-03
    40041 3169 Pages:593-620
  • Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

    Weizhang Huang, Yanqiu Wang
    2018-04-03
    42506 4475 Pages:65-90
  • Accurate Simulation of Circular and Elliptic Cylindrical Invisibility Cloaks

    Zhiguo Yang, Li-Lian Wang
    2018-04-02
    37664 3156 Pages:822-849
  • Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates

    Kun Wang, Yau Shu Wong, Jian Deng
    2018-04-02
    37867 3257 Pages:779-807
  • A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows

    Peng Wang, Lianhua Zhu, Zhaoli Guo, Kun Xu
    2018-04-02
    38437 3142 Pages:657-681
  • Near-Field Imaging of Interior Cavities

    Peijun Li, Yuliang Wang
    2020-07-30
    40377 2962 Pages:542-563
  • An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

    Jie Zhou, Long Chen, Yunqing Huang, Wansheng Wang
    2018-04-02
    42786 4552 Pages:127-145
  • Multi-Phase Texture Segmentation Using Gabor Features Histograms Based on Wasserstein Distance

    Motong Qiao, Wei Wang, Michael Ng
    2014-05-05
    42324 4066 Pages:1480-1500
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye, Shan Zhao
    2014-05-05
    42574 4109 Pages:1461-1479
  • Computational Investigation of the Interaction Between Hydrogen Atoms and an Intense Circularly Polarized Laser Field

    Lifeng Yang, Wang Xu, Qiren Zhang, Wen Luo, Qiangyan Pan, Xiaolu Cai, Gongtao Fan, Yongjiang Li, Benji Xu, Zhe Yan, Guangwei Fan, Zhendong An
    2012-11-01
    42576 492450 Pages:756-774
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu, Chi-Wang Shu
    2011-10-01
    37447 4047 Pages:474-508
  • Convergent Adaptive Finite Element Method Based on Centroidal Voronoi Tessellations and Superconvergence

    Yunqing Huang, Hengfeng Qin, Desheng Wang, Qiang Du
    2011-10-01
    38092 3976 Pages:339-370
  • Simulation of Decoherence by Averaged Semiquantum Method

    Zhuo Wang, Quanlin Jie, Shi-Hui Zhang
    2010-07-01
    38492 4079 Pages:718-737
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu, Chi-Wang Shu
    2010-07-01
    42255 4906 Pages:1-46 Open-access
  • An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

    Jie Chen, Desheng Wang, Haijun Wu
    2018-03-24
    37509 3837 Pages:290-318
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