Concepedia

Compact Finite Difference Schemes

Compact Finite Difference Schemes is a finite difference method that employs a compact stencil and implicit formulation to achieve high-order accuracy by solving a system of equations involving neighboring grid points, distinguishing it from explicit finite difference schemes through its reliance on a smaller computational footprint for derivative approximations.

634

Publications

36.2K

Citations

998

Authors

483

Institutions

Publications per year

2017–2026

178

Parents

Publications

634

Compact finite difference schemes with spectral-like resolution

Sanjiva K. Lele · Journal of Computational Physics · 1992 · 6.1K citations

, , +12

Generation of finite difference formulas on arbitrarily spaced grids

Bengt Fornberg · Mathematics of Computation · 1988 · 914 citations

, , +13

Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Mark H. Carpenter, David Gottlieb, Saul Abarbanel · Journal of Computational Physics · 1994 · 681 citations · Full text

, , +14

Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique

Richard S. Hirsh · Journal of Computational Physics · 1975 · 481 citations

, , +16

Compact finite difference method for the fractional diffusion equation

Mingrong Cui · Journal of Computational Physics · 2009 · 462 citations

, , +14

1–5 of 634

Authors

998

  1. ZS
    Zhi‐zhong Sun

    Southeast University, China

    19 publications · 2.1K citations

    18

    h-index

  2. WD
    Weizhong Dai

    Louisiana Tech University, United States

    15 publications · 463 citations

    13

    h-index

  3. LZ
    Luming Zhang

    Nanjing University of Aeronautics and Astronautics, China

    13 publications · 415 citations

    12

    h-index

  4. JZ
    Jun Zhang

    University of Kentucky, United States

    11 publications · 532 citations

    11

    h-index

  5. YW
    Yuan-Ming Wang

    East China Normal University, China

    14 publications · 305 citations

    11

    h-index

1–5 of 998

Institutions

483

  1. Southeast University

    Nanjing, China

    17 h-index

    36 publications

    3.7K citations

  2. University of Kentucky

    Lexington, United States

    15 h-index

    25 publications

    967 citations

  3. University of Macau

    Macao, Macao

    15 h-index

    28 publications

    1.6K citations

  4. Huazhong University of Science and Technology

    Wuhan, China

    14 h-index

    30 publications

    873 citations

  5. Langley Research Center

    Hampton, United States

    13 h-index

    20 publications

    4.6K citations

  6. Louisiana Tech University

    Ruston, United States

    13 h-index

    26 publications

    880 citations

  7. Nanjing University of Aeronautics and Astronautics

    Nanjing, China

    12 h-index

    24 publications

    818 citations

  8. Shandong University

    Jinan, China

    12 h-index

    18 publications

    831 citations

1–8 of 483

Venues

  1. Journal of Computational Physics

    72 publications · 13.7K citations

    45

    h-index

  2. 30

    h-index

  3. Applied Mathematics and Computation

    41 publications · 1.3K citations

    21

    h-index

  4. Journal of Computational and Applied Mathematics

    23 publications · 984 citations

    19

    h-index

  5. International Journal of Computer Mathematics

    22 publications · 501 citations

    16

    h-index

1–5