Concepedia

Partial Differential Equations

Partial Differential Equations is a branch of mathematical analysis that studies equations involving partial derivatives of unknown functions with respect to multiple independent variables, distinguishing it from ordinary differential equations by the involvement of multivariate functions and their rates of change.

76.1K

Publications

3.9M

Citations

58.8K

Authors

7.4K

Institutions

Publications per year

2017–2026

15.1K

Variants

Partial Differential EquationPdes

Parents

Children

Publications

76.1K

Handbook of Mathematical Functions

Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations

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Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

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Handbook of Mathematical Functions

Milton Abramowitz, I. A. Stegun · 1972 · 15.4K citations

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Approximate Riemann solvers, parameter vectors, and difference schemes

Philip L. Roe · Journal of Computational Physics · 1981 · 9.1K citations

, , +15

Solutions of Ill-Posed Problems.

John B. Bell, V. Y. Arsenin · Mathematics of Computation · 1978 · 8.2K citations

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1–5 of 76.1K

Authors

58.8K

  1. AW
    Abdul‐Majid Wazwaz

    Saint Xavier University, United States

    317 publications · 17.2K citations

    72

    h-index

  2. DB
    Dumitru Bǎleanu

    Çankaya University, Türkiye

    262 publications · 13.7K citations

    68

    h-index

  3. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    161 publications · 11.3K citations

    62

    h-index

  4. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    134 publications · 12.2K citations

    57

    h-index

  5. JJ
    Juan J. Nieto

    Universidade de Santiago de Compostela, Spain

    124 publications · 9.2K citations

    51

    h-index

1–5 of 58.8K

Institutions

7.4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    116 h-index

    1.6K publications

    71.8K citations

  2. Courant Institute of Mathematical Sciences

    New York, United States

    114 h-index

    400 publications

    60.9K citations

  3. University of Minnesota

    Minneapolis, United States

    110 h-index

    481 publications

    41.5K citations

  4. Brown University

    Providence, United States

    96 h-index

    387 publications

    56.4K citations

  5. Princeton University

    Princeton, United States

    96 h-index

    322 publications

    51K citations

  6. Sorbonne Université

    Paris, France

    96 h-index

    465 publications

    42.9K citations

  7. Université Paris Cité

    Paris, France

    94 h-index

    456 publications

    37.7K citations

  8. University of California, Berkeley

    Berkeley, United States

    87 h-index

    294 publications

    36.7K citations

1–8 of 7.4K

Venues

  1. Journal of Computational Physics

    1.6K publications · 199.1K citations

    179

    h-index

  2. Communications on Pure and Applied Mathematics

    532 publications · 92.8K citations

    148

    h-index

  3. Journal of Differential Equations

    2.6K publications · 127.8K citations

    143

    h-index

  4. Journal of Mathematical Analysis and Applications

    3K publications · 123.2K citations

    129

    h-index

  5. Archive for Rational Mechanics and Analysis

    860 publications · 70.3K citations

    126

    h-index

1–5