Concepedia

Initial Value Problem Formulation

Initial Value Problem Formulation is a mathematical framework that specifies a differential equation together with an initial condition, uniquely determining the solution's behavior at a given starting point within the domain of interest.

2.8K

Publications

148.3K

Citations

3.9K

Authors

1.5K

Institutions

Publications per year

2017–2026

447

Parents

Publications

2.8K

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

Numerical Initial Value Problems in Ordinary Differential Equations

E. I., C. W. Gear · Mathematics of Computation · 1973 · 4K citations

, , +12

Numerical Initial Value Problems in Ordinary Differential Equations

James Watt · The Computer Journal · 1972 · 3.6K citations

, , +12

Model equations for long waves in nonlinear dispersive systems

T. Brooke Benjamin, Jerry L. Bona, J. J. Mahony · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1972 · 2.1K citations

, , +15

The soliton: A new concept in applied science

Alwyn Scott, Flora Y. F. Chu, David W. McLaughlin · Proceedings of the IEEE · 1973 · 1.7K citations

, , +16

1–5 of 2.8K

Authors

3.9K

  1. AS
    A. S. Fokas

    University of Cambridge, United Kingdom

    30 publications · 3.4K citations

    25

    h-index

  2. MW
    Michael Winkler

    Paderborn University, Germany

    20 publications · 1.9K citations

    20

    h-index

  3. JL
    Jerry L. Bona

    University of Illinois Chicago, United States

    17 publications · 3.6K citations

    16

    h-index

  4. SK
    Shuichi Kawashima

    Kyushu University, Japan

    18 publications · 805 citations

    16

    h-index

  5. CE
    Carlos E. Kenig

    University of Chicago, United States

    17 publications · 1.8K citations

    13

    h-index

1–5 of 3.9K

Institutions

1.5K

  1. University of Cambridge

    Cambridge, United Kingdom

    27 h-index

    57 publications

    3.9K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    25 h-index

    61 publications

    2.9K citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    22 h-index

    66 publications

    2.2K citations

  4. Princeton University

    Princeton, United States

    21 h-index

    37 publications

    20.8K citations

  5. University of Pittsburgh

    Pittsburgh, United States

    20 h-index

    35 publications

    2K citations

  6. The University of Texas at Austin

    Austin, United States

    20 h-index

    35 publications

    1.8K citations

  7. University of California, Berkeley

    Berkeley, United States

    20 h-index

    28 publications

    2.4K citations

  8. Max Planck Institute for Gravitational Physics

    Potsdam, Germany

    19 h-index

    33 publications

    2.9K citations

1–8 of 1.5K

Venues

  1. Journal of Fluid Mechanics

    64 publications · 4.6K citations

    38

    h-index

  2. SIAM Journal on Mathematical Analysis

    66 publications · 3.6K citations

    35

    h-index

  3. Journal of Mathematical Physics

    89 publications · 3.7K citations

    33

    h-index

  4. The Physics of Fluids

    52 publications · 4.1K citations

    32

    h-index

  5. Nonlinearity

    39 publications · 2.9K citations

    28

    h-index

1–5