Concepedia

Lipschitz Conditions

Lipschitz Conditions is a mathematical criterion in the theory of differential equations that requires a function to have a bounded rate of change, ensuring that the difference in function values at two points does not exceed a fixed constant multiple of the distance between those points.

3.1K

Publications

155.6K

Citations

4.7K

Authors

1.6K

Institutions

Publications per year

2017–2026

732

Variants

Lipschitz Condition

Parents

Publications

3.1K

Singularity detection and processing with wavelets

Stéphane Mallat, Wen-Liang Hwang · IEEE Transactions on Information Theory · 1992 · 3.9K citations

, , +13

Lipschitzian optimization without the Lipschitz constant

Donald R. Jones, C.D. Perttunen, B.E. Stuckman · Journal of Optimization Theory and Applications · 1993 · 2K citations

, , +11

Minimization of functions having Lipschitz continuous first partial derivatives

Larry Armijo · Pacific Journal of Mathematics · 1966 · 2K citations · Full text

, , +10

Multilevel Monte Carlo Path Simulation

Michael B. Giles · Operations Research · 2008 · 1.5K citations

, , +16

Improved Training of Wasserstein GANs

Ishaan Gulrajani, Faruk Ahmed, Martín Arjovsky et al. · arXiv (Cornell University) · 2017 · 1.5K citations · Full text

, , +10

1–5 of 3.1K

Authors

4.7K

  1. MM
    Marius Mitrea

    University of Missouri, United States

    30 publications · 1.5K citations

    22

    h-index

  2. XM
    Xuerong Mao

    University of Strathclyde, United Kingdom

    24 publications · 2.3K citations

    20

    h-index

  3. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    24 publications · 1.5K citations

    18

    h-index

  4. CE
    Carlos E. Kenig

    University of Chicago, United States

    14 publications · 2.3K citations

    14

    h-index

  5. ZS
    Zhongwei Shen

    University of Kentucky, United States

    14 publications · 572 citations

    12

    h-index

1–5 of 4.7K

Institutions

1.6K

  1. Centre National de la Recherche Scientifique

    Paris, France

    34 h-index

    140 publications

    6.9K citations

  2. Huazhong University of Science and Technology

    Wuhan, China

    24 h-index

    56 publications

    2.4K citations

  3. University of Missouri

    Columbia, United States

    22 h-index

    45 publications

    2.1K citations

  4. University of California, Berkeley

    Berkeley, United States

    22 h-index

    39 publications

    3.7K citations

  5. Chinese Academy of Sciences

    Beijing, China

    22 h-index

    35 publications

    2.3K citations

  6. The University of Tokyo

    Tokyo, Japan

    21 h-index

    39 publications

    2.1K citations

  7. University of Minnesota

    Minneapolis, United States

    20 h-index

    42 publications

    3.4K citations

  8. City University of Hong Kong

    Hong Kong, Hong Kong

    19 h-index

    32 publications

    1.3K citations

1–8 of 1.6K

Venues

  1. IEEE Transactions on Automatic Control

    53 publications · 5.3K citations

    37

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 84 publications · 4.9K citations

    37

    h-index

  3. SIAM Journal on Control and Optimization

    71 publications · 3.6K citations

    34

    h-index

  4. arXiv (Cornell University)

    Repository · 104 publications · 5.2K citations

    32

    h-index

  5. 30

    h-index

1–5