Concepedia

Inverse Diffusion Problems

Inverse Diffusion Problems is an inverse problem that seeks to determine the parameters, initial conditions, or boundary conditions of a diffusion process from observed data, distinguished by its focus on reversing the effects of diffusion to infer unknown causes from measurable outcomes.

426

Publications

20.4K

Citations

819

Authors

394

Institutions

Publications per year

2017–2026

160

Parents

Publications

426

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 2011 · 1.2K citations

, , +16

Demosaicing: image reconstruction from color CCD samples

Ron Kimmel · IEEE Transactions on Image Processing · 1999 · 471 citations

, , +12

Image enhancement and denoising by complex diffusion processes

Guy Gilboa, Nir Sochen, Y.Y. Zeevi · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2004 · 459 citations

, , +16

Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

Jin Cheng, Junichi Nakagawa, Masahiro Yamamoto et al. · Inverse Problems · 2009 · 394 citations

, , +17

On matrix diffusion: formulations, solution methods and qualitative effects

Jesús Carrera, Xavier Sánchez‐Vila, I. Benet et al. · Hydrogeology Journal · 1998 · 357 citations · Full text

, , +14

1–5 of 426

Authors

819

  1. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    16 publications · 2.7K citations

    15

    h-index

  2. TW
    Ting Wei

    Lanzhou University, China

    12 publications · 561 citations

    12

    h-index

  3. FY
    Fan Yang

    Lanzhou University of Technology, China

    9 publications · 235 citations

    9

    h-index

  4. WR
    William Rundell

    Texas A&M University, United States

    9 publications · 690 citations

    9

    h-index

  5. NH
    Nguyen Huy Tuan

    Ton Duc Thang University, Vietnam

    9 publications · 203 citations

    9

    h-index

1–5 of 819

Institutions

394

  1. The University of Tokyo

    Tokyo, Japan

    20 h-index

    32 publications

    5.3K citations

  2. Texas A&M University

    College Station, United States

    16 h-index

    19 publications

    1.3K citations

  3. Lanzhou University

    Lanzhou, China

    14 h-index

    34 publications

    1.6K citations

  4. Ton Duc Thang University

    Ho Chi Minh City, Vietnam

    13 h-index

    14 publications

    286 citations

  5. Vietnam National University Ho Chi Minh City

    Ho Chi Minh City, Vietnam

    11 h-index

    15 publications

    336 citations

  6. Lanzhou University of Technology

    Lanzhou, China

    11 h-index

    29 publications

    1K citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    15 publications

    500 citations

  8. Purdue University West Lafayette

    West Lafayette, United States

    10 h-index

    21 publications

    439 citations

1–8 of 394

Venues

  1. Inverse Problems

    42 publications · 3.1K citations

    30

    h-index

  2. Mathematical Methods in the Applied Sciences

    16 publications · 499 citations

    14

    h-index

  3. Computers & Mathematics with Applications

    14 publications · 629 citations

    13

    h-index

  4. Journal of Inverse and Ill-Posed Problems

    13 publications · 299 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 12 publications · 413 citations

    11

    h-index

1–5