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  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    42307 3267 Pages:1231-1257
  • High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

    Weidong Zhao, Tao Zhou & Tao Kong
    2018-04-09
    41185 3088 Pages:808-834
  • Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2012-11-01
    38646 4041 Pages:1503-1524
  • 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
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38190 3866 Pages:994-1019
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    38963 3127 Pages:1474-1509
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42259 3711 Pages:259-298
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    49202 3913 Pages:94-130
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    44948 3316 Pages:1299-1335
  • Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

    Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu
    2020-11-18
    63919 3589 Pages:2075-2108
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    47237 3332 Pages:1530-1574
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50240 5305 Pages:87-113
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49760 3564 Pages:1127-1143
  • High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen
    2018-04-03
    41525 3292 Pages:273-300
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    3651 344 Pages:923-952
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    40900 3000 Pages:317-336
  • High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

    Guanlan Huang, Sebastiano Boscarino, Tao Xiong
    2024-06-14
    35685 1864 Pages:1229-1262
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu & Nikolaus A. Adams
    2019-04-04
    49299 3311 Pages:311-345
  • Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

    Chaoqun Liu, Ping Lu, Maria Oliveira & Peng Xie
    2012-11-01
    43918 3066965 Pages:1022-1042
  • An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

    Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao
    2025-09-02
    11746 904 Pages:575-602
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    9293 537 Pages:975-1007
  • Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

    Y. Liu, C.-W. Shu, E. Tadmor & M. Zhang
    2007-02-01
    38200 3927 Pages:933-963
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu
    2019-01-10
    49778 4146 Pages:1357-1393
  • Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

    N. Anders Petersson & Björn Sjögreen
    2014-10-08
    42561 4101 Pages:913-955
  • Subspace Trajectory Piecewise-Linear Model Order Reduction for Nonlinear Circuits

    Xiaoda Pan, Hengliang Zhu, Fan Yang & Xuan Zeng
    2013-09-05
    39255 3919 Pages:639-663
  • Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

    T. V. S. Sekhar, B. Hema Sundar Raju & Y. V. S. S. Sanyasiraju
    2012-11-01
    39595 4341 Pages:99-113
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39365 4215 Pages:668-687
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