Concepedia

Well-balanced Schemes

Well-Balanced Schemes is a numerical method in the context of finite volume methods that precisely preserves steady-state solutions of balance laws by maintaining exact equilibrium between flux gradients and source terms at the discrete level.

209

Publications

13.4K

Citations

300

Authors

199

Institutions

Publications per year

2017–2026

71

Parents

Publications

209

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau et al. · SIAM Journal on Scientific Computing · 2004 · 981 citations

, , +17

A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

J. M. Greenberg, Alain Leroux · SIAM Journal on Numerical Analysis · 1996 · 669 citations

, , +17

Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

Carlos Parés · SIAM Journal on Numerical Analysis · 2006 · 524 citations

, , +15

Numerical resolution of well-balanced shallow water equations with complex source terms

Qiuhua Liang, Fabien Marche · Advances in Water Resources · 2009 · 505 citations

, , +14

A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System

Alexander Kurganov, Guergana Petrova · Communications in Mathematical Sciences · 2007 · 426 citations · Full text

, , +12

1–5 of 209

Authors

300

  1. MJ
    Manuel J. Castro

    Universidad de Málaga, Spain

    20 publications · 1.5K citations

    16

    h-index

  2. CP
    Carlos Parés

    Universidad de Málaga, Spain

    16 publications · 2K citations

    16

    h-index

  3. AK
    Alexander Kurganov

    Tulane University, United States

    16 publications · 1.2K citations

    15

    h-index

  4. YX
    Yulong Xing

    The Ohio State University, United States

    16 publications · 1.7K citations

    15

    h-index

  5. LG
    Laurent Gosse

    Istituto per le Applicazioni del Calcolo Mauro Picone, Italy

    13 publications · 713 citations

    11

    h-index

1–5 of 300

Institutions

199

  1. Centre National de la Recherche Scientifique

    Paris, France

    18 h-index

    42 publications

    1.6K citations

  2. Universidad de Málaga

    Málaga, Spain

    18 h-index

    46 publications

    3.6K citations

  3. Qingdao University

    Qingdao, China

    13 h-index

    31 publications

    599 citations

  4. Tulane University

    New Orleans, United States

    10 h-index

    12 publications

    1.1K citations

  5. Sorbonne Université

    Paris, France

    10 h-index

    20 publications

    862 citations

  6. University of Trento

    Trento, Italy

    9 h-index

    22 publications

    1.3K citations

  7. Laboratoire de Mathématiques Jean Leray

    Nantes, France

    8 h-index

    16 publications

    771 citations

  8. Brown University

    Providence, United States

    8 h-index

    11 publications

    1.9K citations

1–8 of 199

Venues

  1. Journal of Computational Physics

    41 publications · 3K citations

    26

    h-index

  2. Journal of Scientific Computing

    18 publications · 843 citations

    16

    h-index

  3. 13

    h-index

  4. SIAM Journal on Scientific Computing

    12 publications · 1.5K citations

    12

    h-index

  5. Computers & Fluids

    12 publications · 303 citations

    10

    h-index

1–5