Concepedia

Numerical Methods For Initial Value Problems

Numerical Methods for Initial Value Problems is a computational framework within the broader class of numerical integration techniques that specifically approximates solutions to differential equations subject to prescribed initial conditions by discretizing the continuous domain and iteratively advancing the solution in time or space.

1.4K

Publications

94.7K

Citations

2K

Authors

958

Institutions

Publications per year

2017–2026

237

Parents

Publications

1.4K

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 1.4K

Authors

2K

  1. TE
    T. E. Simos

    University of Peloponnese, Greece

    34 publications · 2K citations

    24

    h-index

  2. TE
    Theodore E. Simos

    Democritus University of Thrace, Greece

    22 publications · 834 citations

    18

    h-index

  3. CT
    Ch. Tsitouras

    Democritus University of Thrace, Greece

    18 publications · 754 citations

    17

    h-index

  4. HR
    Higinio Ramos

    Universidad de Salamanca, Spain

    18 publications · 776 citations

    14

    h-index

  5. SN
    S. N. Jator

    Austin Peay State University, United States

    20 publications · 458 citations

    13

    h-index

1–5 of 2K

Institutions

958

  1. Universidad de Salamanca

    Salamanca, Spain

    17 h-index

    26 publications

    1.1K citations

  2. Democritus University of Thrace

    Komotini, Greece

    17 h-index

    27 publications

    1.1K citations

  3. Imperial College London

    London, United Kingdom

    16 h-index

    28 publications

    1.9K citations

  4. Cairo University

    Giza, Egypt

    15 h-index

    19 publications

    1.1K citations

  5. King Saud University

    Riyadh, Saudi Arabia

    14 h-index

    17 publications

    862 citations

  6. King Abdulaziz University

    Jeddah, Saudi Arabia

    13 h-index

    23 publications

    921 citations

  7. University of Bari Aldo Moro

    Bari, Italy

    13 h-index

    27 publications

    849 citations

  8. Austin Peay State University

    Clarksville, United States

    12 h-index

    23 publications

    511 citations

1–8 of 958

Venues

  1. SIAM Journal on Numerical Analysis

    70 publications · 4K citations

    36

    h-index

  2. Mathematics of Computation

    MCOM · 72 publications · 13.6K citations

    36

    h-index

  3. Applied Mathematics and Computation

    62 publications · 2.8K citations

    28

    h-index

  4. Journal of Computational and Applied Mathematics

    53 publications · 2.2K citations

    24

    h-index

  5. International Journal of Computer Mathematics

    42 publications · 1.7K citations

    24

    h-index

1–5