Concepedia

Ill-posed Problem Analysis

Ill-Posed Problem Analysis is a methodological framework within inverse heat transfer that identifies and characterizes the instability, non-uniqueness, or non-continuity of solutions arising from insufficient or perturbed input data, thereby distinguishing it from well-posed problem analyses by its focus on the inherent sensitivity and mathematical indefiniteness of recovery processes.

993

Publications

51.8K

Citations

2K

Authors

923

Institutions

Publications per year

2017–2026

225

Parents

Publications

993

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve

Per Christian Hansen · SIAM Review · 1992 · 3.8K citations

, , +15

Inverse problems: A Bayesian perspective

Andrew M. Stuart · Acta Numerica · 2010 · 1.8K citations

, , +16

REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems

Per Christian Hansen · Numerical Algorithms · 1994 · 1.7K citations

, , +15

Analysis of bounded variation penalty methods for ill-posed problems

Rüyam Acar, C. R. Vogel · Inverse Problems · 1994 · 822 citations

, , +15

Ill-posed problems in early vision

M. Bertero, Tomaso Poggio, Vincent Torre · Proceedings of the IEEE · 1988 · 733 citations · Full text

, , +13

1–5 of 993

Authors

2K

  1. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    13 publications · 728 citations

    12

    h-index

  2. CL
    Chein‐Shan Liu

    National Taiwan Ocean University, Taiwan

    10 publications · 303 citations

    10

    h-index

  3. DL
    D. Lesnic

    University of Leeds, United Kingdom

    9 publications · 255 citations

    9

    h-index

  4. LR
    Lothar Reichel

    Kent State University, United States

    9 publications · 416 citations

    9

    h-index

  5. DD
    Dang Duc Trong

    Vietnam National University Ho Chi Minh City, Vietnam

    8 publications · 255 citations

    8

    h-index

1–5 of 2K

Institutions

923

  1. Centre National de la Recherche Scientifique

    Paris, France

    23 h-index

    60 publications

    3K citations

  2. Sorbonne Université

    Paris, France

    12 h-index

    18 publications

    1.1K citations

  3. Johannes Kepler University of Linz

    Linz, Austria

    12 h-index

    19 publications

    2.6K citations

  4. The University of Tokyo

    Tokyo, Japan

    11 h-index

    13 publications

    681 citations

  5. University of Leeds

    Leeds, United Kingdom

    11 h-index

    22 publications

    785 citations

  6. Wuhan University

    Wuhan, China

    10 h-index

    26 publications

    786 citations

  7. Lanzhou University

    Lanzhou, China

    10 h-index

    20 publications

    1K citations

  8. Peking University

    Beijing, China

    10 h-index

    25 publications

    1.6K citations

1–8 of 923

Venues

  1. Inverse Problems

    44 publications · 3.9K citations

    27

    h-index

  2. International Journal of Heat and Mass Transfer

    30 publications · 1.6K citations

    24

    h-index

  3. Journal of Differential Equations

    33 publications · 1.4K citations

    20

    h-index

  4. Journal of Inverse and Ill-Posed Problems

    35 publications · 796 citations

    18

    h-index

  5. 17

    h-index

1–5