Concepedia

Hyperbolic Equation Schemes

Hyperbolic Equation Schemes is a class of numerical methods specifically designed for solving partial differential equations of hyperbolic type, distinguished by their ability to accurately capture wave propagation and discontinuous solutions while preserving causality and finite propagation speeds inherent in the underlying physical phenomena.

209

Publications

16.9K

Citations

341

Authors

187

Institutions

Publications per year

2017–2026

26

Parents

Publications

209

On the Construction and Comparison of Difference Schemes

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

, , +16

Weak solutions of nonlinear hyperbolic equations and their numerical computation

Peter D. Lax · Communications on Pure and Applied Mathematics · 1954 · 1.8K citations

, , +16

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

Difference schemes for hyperbolic equations with high order of accuracy

Peter D. Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 1964 · 660 citations

, , +14

A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver

Takashi Yabe, Takayuki Aoki · Computer Physics Communications · 1991 · 587 citations

, , +14

1–5 of 209

Authors

341

  1. CS
    Chi‐Wang Shu

    Brown University, United States

    10 publications · 767 citations

    10

    h-index

  2. RK
    R. K. Mohanty

    University of Delhi, India

    9 publications · 415 citations

    9

    h-index

  3. TY
    Takashi Yabe

    Tokyo Institute of Technology, Japan

    6 publications · 1.3K citations

    6

    h-index

  4. EF
    Eleuterio F. Toro

    University of Trento, Italy

    5 publications · 114 citations

    5

    h-index

  5. RV
    Robert Vichnevetsky

    Rutgers, The State University of New Jersey, United States

    5 publications · 197 citations

    5

    h-index

1–5 of 341

Institutions

187

  1. University of Delhi

    New Delhi, India

    10 h-index

    15 publications

    665 citations

  2. Rutgers, The State University of New Jersey

    New Brunswick, United States

    6 h-index

    7 publications

    261 citations

  3. Brown University

    Providence, United States

    6 h-index

    7 publications

    700 citations

  4. University of Trento

    Trento, Italy

    5 h-index

    10 publications

    188 citations

  5. Gunma University

    Maebashi, Japan

    4 h-index

    13 publications

    3.2K citations

  6. Tokyo Institute of Technology

    Tokyo, Japan

    4 h-index

    12 publications

    3.4K citations

  7. Moscow Institute of Physics and Technology

    Dolgoprudnyy, Russia

    4 h-index

    4 publications

    112 citations

  8. New York University

    New York, United States

    4 h-index

    5 publications

    2K citations

1–8 of 187

Venues

  1. Journal of Computational Physics

    26 publications · 1.8K citations

    19

    h-index

  2. Applied Mathematics and Computation

    14 publications · 496 citations

    13

    h-index

  3. Mathematics of Computation

    MCOM · 17 publications · 819 citations

    12

    h-index

  4. SIAM Journal on Numerical Analysis

    13 publications · 4.6K citations

    10

    h-index

  5. Applied Numerical Mathematics

    8 publications · 312 citations

    8

    h-index

1–5