Concepedia

High-order Schemes

High-Order Schemes is a numerical method in computational fluid dynamics characterized by its use of higher-degree polynomial approximations to achieve greater accuracy in the solution of the Navier-Stokes equations compared to low-order counterparts.

2.8K

Publications

185.6K

Citations

4.3K

Authors

1.4K

Institutions

Publications per year

2017–2026

689

Parents

Publications

2.8K

High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

Urmila Ghia, K. N. Ghia, C. T. Shin · Journal of Computational Physics · 1982 · 4.2K citations

, , +17

High resolution schemes for hyperbolic conservation laws

Ami Harten · Journal of Computational Physics · 1983 · 4.1K citations · Full text

, , +14

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

, , +16

Uniformly high order accurate essentially non-oscillatory schemes, III

Ami Harten, Björn Engquist, Stanley Osher et al. · Journal of Computational Physics · 1987 · 3K citations

, , +12

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

E.J. Kansa · Computers & Mathematics with Applications · 1990 · 1.9K citations

, , +12

1–5 of 2.8K

Authors

4.3K

  1. CS
    Chi‐Wang Shu

    Brown University, United States

    82 publications · 11.2K citations

    45

    h-index

  2. MD
    Michael Dumbser

    University of Trento, Italy

    37 publications · 3.5K citations

    30

    h-index

  3. HC
    H. C. Yee

    Ames Research Center, United States

    22 publications · 2.2K citations

    19

    h-index

  4. KX
    Kun Xu

    Hong Kong University of Science and Technology, Hong Kong SAR China

    28 publications · 1.6K citations

    18

    h-index

  5. XZ
    Xiangxiong Zhang

    Purdue University West Lafayette, United States

    19 publications · 3K citations

    17

    h-index

1–5 of 4.3K

Institutions

1.4K

  1. Brown University

    Providence, United States

    47 h-index

    117 publications

    18.5K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    39 h-index

    169 publications

    12.8K citations

  3. Stanford University

    Stanford, United States

    31 h-index

    129 publications

    11K citations

  4. University of Trento

    Trento, Italy

    30 h-index

    87 publications

    6.8K citations

  5. Ames Research Center

    Mountain View, United States

    30 h-index

    58 publications

    5.5K citations

  6. Langley Research Center

    Hampton, United States

    29 h-index

    71 publications

    7.8K citations

  7. Tel Aviv University

    Tel Aviv, Israel

    29 h-index

    52 publications

    19.6K citations

  8. Imperial College London

    London, United Kingdom

    24 h-index

    67 publications

    5.2K citations

1–8 of 1.4K

Venues

  1. Journal of Computational Physics

    531 publications · 68.3K citations

    126

    h-index

  2. Journal of Scientific Computing

    137 publications · 6.4K citations

    45

    h-index

  3. 42

    h-index

  4. SIAM Journal on Numerical Analysis

    78 publications · 12.5K citations

    42

    h-index

  5. SIAM Journal on Scientific Computing

    91 publications · 5.6K citations

    38

    h-index

1–5