Concepedia

Regularization Of Integral Equations

Regularization of Integral Equations is a mathematical framework within the theory of integral equations that systematically modifies ill-posed problems to ensure well-posedness by introducing stabilizing constraints or transformations, thereby enabling stable and convergent numerical solutions.

238

Publications

18.3K

Citations

412

Authors

265

Institutions

Publications per year

2017–2026

35

Parents

Publications

238

CONTIN: A general purpose constrained regularization program for inverting noisy linear algebraic and integral equations

Stephen W. Provencher · Computer Physics Communications · 1982 · 2.7K citations

, , +15

A constrained regularization method for inverting data represented by linear algebraic or integral equations

Stephen W. Provencher · Computer Physics Communications · 1982 · 2.7K citations

, , +13

Multiloop Integrals in Dimensional Regularization Made Simple

Johannes M. Henn · Physical Review Letters · 2013 · 1K citations · Full text

, , +15

Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions

Lalitha Venkataramanan, Yi‐Qiao Song, Martin D. Hürlimann · IEEE Transactions on Signal Processing · 2002 · 681 citations

, , +15

Estimating Solutions of First Kind Integral Equations with Nonnegative Constraints and Optimal Smoothing

James P. Butler, James A. Reeds, Sierra Dawson · SIAM Journal on Numerical Analysis · 1981 · 477 citations

, , +16

1–5 of 238

Authors

412

  1. BH
    Bernd Hofmann

    Chemnitz University of Technology, Germany

    5 publications · 184 citations

    5

    h-index

  2. SV
    Sergei V. Pereverzev

    Johann Radon Institute for Computational and Applied Mathematics, Austria

    4 publications · 271 citations

    4

    h-index

  3. FP
    Francesco P. Andriulli

    Politecnico di Torino, Italy

    4 publications · 230 citations

    4

    h-index

  4. EM
    Eric Michielssen

    University of Illinois Urbana-Champaign, United States

    3 publications · 165 citations

    3

    h-index

  5. SM
    Subrata Mukherjee

    Cornell University, United States

    3 publications · 51 citations

    3

    h-index

1–5 of 412

Institutions

265

  1. Chemnitz University of Technology

    Chemnitz, Germany

    6 h-index

    10 publications

    202 citations

  2. University of Michigan

    Ann Arbor, United States

    5 h-index

    6 publications

    255 citations

  3. National Taiwan Ocean University

    Keelung, Taiwan

    5 h-index

    12 publications

    663 citations

  4. Politecnico di Torino

    Turin, Italy

    4 h-index

    14 publications

    493 citations

  5. Johann Radon Institute for Computational and Applied Mathematics

    Linz, Austria

    4 h-index

    5 publications

    171 citations

  6. Michigan State University

    East Lansing, United States

    4 h-index

    4 publications

    175 citations

  7. Secretaría de Investigación, Innovación y Educación Superior

    Mérida, Mexico

    4 h-index

    4 publications

    69 citations

  8. Slovak Academy of Sciences

    Bratislava, Slovakia

    3 h-index

    6 publications

    862 citations

1–8 of 265

Venues

  1. Inverse Problems

    17 publications · 1.1K citations

    15

    h-index

  2. SIAM Journal on Numerical Analysis

    8 publications · 981 citations

    8

    h-index

  3. Journal of Integral Equations and Applications

    6 publications · 115 citations

    6

    h-index

  4. Computer Physics Communications

    6 publications · 5.8K citations

    6

    h-index

  5. Inverse Problems in Science and Engineering

    IPSE · 6 publications · 133 citations

    6

    h-index

1–5