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  • Adaptive Reconstruction Method Using Discontinuity Feedback for High-Order Accuracy Schemes

    Hong Zhang, Yue Zhao, Xing Ji, Kun Xu
    2026-05-01
    0 0 Pages:1559-1588
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sebastien Jund, Stephanie Salmon, Eric Sonnendruecker
    2012-11-01
    42230 3977 Pages:863-892
  • Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

    Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao
    2024-06-14
    28509 2031 Pages:1263-1286
  • Further Study on Errors in Metric Evaluation by Linear Upwind Schemes with Flux Splitting in Stationary Grids

    Qin Li, Dong Sun, Pengxin Liu
    2019-10-31
    41877 4203 Pages:64-94
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galan del Sastre, Rodolfo Bermejo
    2011-09-01
    38656 3836 Pages:1020-1039
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao, Tao Zhou
    2020-07-30
    39406 3380 Pages:1482-1503
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    45902 3460 Pages:532-563
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    15711 1258 Pages:781-820
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    26924 1799 Pages:30-70
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31225 2708 Pages:955-992
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42351 3757 Pages:259-298
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao, Guanghui Hu
    2017-10-02
    46534 3359 Pages:1049-1068
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjoegreen, Abdellah Hadjadj
    2012-12-01
    42354 4109 Pages:1603-1622
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2026-02-15
    4034 192 Pages:387-416
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Bjoern Sjoegreen, H. C. Yee, William D. Henshaw
    2018-03-27
    38832 3964 Pages:583-602
  • The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

    Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang
    2025-07-11
    5386 630 Pages:37-73
  • An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

    Laiping Zhang, Ming Li, Wei Liu, Xin He
    2018-04-02
    42707 4473 Pages:287-316
  • Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method

    Wensheng Zhang
    2020-06-05
    47855 3258 Pages:743-767
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    50162 3367 Pages:949-975
  • Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form

    Abdelaziz Beljadid, Philippe G. LeFloch, Siddhartha Mishra, Carlos Parés
    2018-04-09
    43071 3220 Pages:913-946
  • Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

    Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang
    2007-02-01
    38260 3949 Pages:933-963
  • 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
    49833 3597 Pages:1127-1143
  • High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

    Jian Deng, Cristina Anton, Yau Shu Wong
    2014-07-06
    41399 4313 Pages:169-200
  • Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro, Knut Waagan
    2018-03-27
    38033 3796 Pages:324-362
  • 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
    28097 2028 Pages:1-29
  • 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
    35782 1894 Pages:1229-1262
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu
    2018-04-04
    40574 3212 Pages:835-869
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