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  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu & Jue Yan
    2010-08-01
    44752 4459 Pages:541-564
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28284 2560 Pages:160-180
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47581 3080 Pages:1150-1184
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang & Yinhua Xia
    2018-10-11
    45665 3407 Pages:532-563
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller & Jonathan S. Pitt
    2018-09-17
    45211 3752 Pages:1279-1299
  • 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
  • High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

    Weidong Zhao, Tao Zhou & Tao Kong
    2018-04-09
    41126 3064 Pages:808-834
  • Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

    Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du
    2018-04-08
    42115 4803 Pages:16-39 Open-access
  • On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

    Guilherme Cunha & Stéphane Redonnet
    2018-04-04
    39585 3134 Pages:325-352
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38133 3846 Pages:994-1019
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov & Jerry Nolen
    2010-08-01
    39410 4528 Pages:159-184
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    23896 2061 Pages:816-858
  • A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

    Xucheng Meng, Guanghui Hu
    2022-08-11
    303006 3783 Pages:490-523 Open-access
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    302871 3313 Pages:364-400
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    53936 3159 Pages:1083-1113
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    48872 3141 Pages:423-447
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    48957 3169 Pages:1437-1463
  • Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method

    Wensheng Zhang
    2020-06-05
    47692 3221 Pages:743-767
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50564 3535 Pages:1335-1364
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue & Tiegang Liu
    2019-04-28
    46970 3207 Pages:855-879
  • A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

    Yueling Jia, Song Jiang, Baolin Tian & Eleuterio F. Toro
    2018-09-17
    45203 3427 Pages:309-331
  • WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

    You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang & Shi Shu
    2020-07-31
    49869 3216 Pages:1012-1036
  • An Explicit Hermite-Taylor Method for the Schrödinger Equation

    Daniel Appelö, Gunilla Kreiss & Siyang Wang
    2018-04-09
    42145 3330 Pages:1207-1230
  • Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs

    Wenjun Cai, Huai Zhang & Yushun Wang
    2020-07-31
    40513 3304 Pages:1375-1396
  • Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

    Jun Zhu, Xinghui Zhong, Chi-Wang Shu & Jianxian Qiu
    2018-04-04
    40726 3148 Pages:944-969
  • Simulation of Two-Dimensional Scramjet Combustor Reacting Flow Field Using Reynolds Averaged Navier-Stokes WENO Solver

    Juan-Chen Huang, Yu-Hsuan Lai, Jeng-Shan Guo & Jaw-Yen Yang
    2020-07-31
    38477 2964 Pages:1181-1210
  • A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain

    Jan Nordström, Qaisar Abbas, Brittany A. Erickson & Hannes Frenander
    2014-08-03
    42391 4027 Pages:541-570
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