Concepedia

Initial Value Problem Solvers

Initial Value Problem Solvers is a class of numerical algorithms designed to approximate solutions to differential equations by iteratively advancing from a specified initial condition, distinguished by their reliance on initial data to construct a solution trajectory over a given interval.

1.1K

Publications

82.4K

Citations

1.7K

Authors

897

Institutions

Publications per year

2017–2026

188

Parents

Publications

1.1K

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

Difference Methods for Initial-Value Problems

E. I., Robert D. Richtmyer, K. W. Morton · Mathematics of Computation · 1968 · 3.4K citations

, , +11

<i>Difference Methods for Initial-Value Problems</i>

Robert D. Richtmyer, E. H. Dill · Physics Today · 1959 · 3.2K citations · Full text

, , +10

1–5 of 1.1K

Authors

1.7K

  1. TE
    T. E. Simos

    University of Peloponnese, Greece

    22 publications · 1.5K citations

    17

    h-index

  2. TE
    Theodore E. Simos

    Democritus University of Thrace, Greece

    17 publications · 635 citations

    14

    h-index

  3. CT
    Ch. Tsitouras

    Democritus University of Thrace, Greece

    15 publications · 594 citations

    13

    h-index

  4. HR
    Higinio Ramos

    Universidad de Salamanca, Spain

    15 publications · 526 citations

    13

    h-index

  5. SN
    S. N. Jator

    Austin Peay State University, United States

    12 publications · 302 citations

    12

    h-index

1–5 of 1.7K

Institutions

897

  1. Imperial College London

    London, United Kingdom

    14 h-index

    22 publications

    766 citations

  2. Universidad de Salamanca

    Salamanca, Spain

    14 h-index

    19 publications

    651 citations

  3. King Abdulaziz University

    Jeddah, Saudi Arabia

    12 h-index

    20 publications

    914 citations

  4. Austin Peay State University

    Clarksville, United States

    12 h-index

    16 publications

    422 citations

  5. Democritus University of Thrace

    Komotini, Greece

    12 h-index

    18 publications

    861 citations

  6. Stanford University

    Stanford, United States

    10 h-index

    13 publications

    1.9K citations

  7. University of Bari Aldo Moro

    Bari, Italy

    10 h-index

    16 publications

    460 citations

  8. King Saud University

    Riyadh, Saudi Arabia

    10 h-index

    12 publications

    754 citations

1–8 of 897

Venues

  1. Applied Mathematics and Computation

    55 publications · 2K citations

    25

    h-index

  2. 24

    h-index

  3. Computers & Mathematics with Applications

    30 publications · 1.1K citations

    22

    h-index

  4. SIAM Journal on Numerical Analysis

    25 publications · 1.3K citations

    20

    h-index

  5. Mathematics of Computation

    MCOM · 27 publications · 8.3K citations

    18

    h-index

1–5