Maximum Entropy Regularization for Fredholm Integral Equations of the First Kind

P. P. B. Eggermont

doi:10.1137/0524088

Maximum Entropy Regularization for Fredholm Integral Equations of the First Kind

SIAM Journal on Mathematical Analysis ◽

10.1137/0524088 ◽

1993 ◽

Vol 24 (6) ◽

pp. 1557-1576 ◽

Cited By ~ 56

Author(s):

P. P. B. Eggermont

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Fredholm Integral Equations

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Error bounds for maximum entropy approximate solutions to Fredholm integral equations

Journal of Mathematical Physics ◽

10.1063/1.529493 ◽

1991 ◽

Vol 32 (12) ◽

pp. 3312-3314 ◽

Cited By ~ 2

Author(s):

S. Kopeć

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Error Bounds ◽

Approximate Solutions ◽

Fredholm Integral Equations

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Approximating Solutions of Fredholm Integral Equations via a General Spline Maximum Entropy Method

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00820-7 ◽

2020 ◽

Vol 6 (3) ◽

Author(s):

Md Shafiqul Islam ◽

Adam Smith

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Maximum Entropy Method ◽

Entropy Method ◽

Fredholm Integral Equations

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Approximate solution of Fredholm integral equations by the maximum‐entropy method

Journal of Mathematical Physics ◽

10.1063/1.527267 ◽

1986 ◽

Vol 27 (12) ◽

pp. 2903-2907 ◽

Cited By ~ 40

Author(s):

Lawrence R. Mead

Keyword(s):

Approximate Solution ◽

Maximum Entropy ◽

Integral Equations ◽

Maximum Entropy Method ◽

Entropy Method ◽

Fredholm Integral Equations

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Maximum entropy regularization of Fredholm integral equations of the first kind

Inverse Problems ◽

10.1088/0266-5611/7/6/004 ◽

1991 ◽

Vol 7 (6) ◽

pp. 793-808 ◽

Cited By ~ 68

Author(s):

U Amato ◽

W Hughes

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Fredholm Integral Equations

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Properties of maximum entropy approximate solutions to Fredholm integral equations

Journal of Mathematical Physics ◽

10.1063/1.529324 ◽

1991 ◽

Vol 32 (5) ◽

pp. 1269-1272 ◽

Cited By ~ 3

Author(s):

S. Kopeć

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Approximate Solutions ◽

Fredholm Integral Equations

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Solving Fredholm integral equations via a piecewise linear maximum entropy method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.02.044 ◽

2016 ◽

Vol 304 ◽

pp. 130-137 ◽

Cited By ~ 3

Author(s):

Congming Jin ◽

Jiu Ding

Keyword(s):

Maximum Entropy ◽

Integral Equations ◽

Maximum Entropy Method ◽

Piecewise Linear ◽

Entropy Method ◽

Fredholm Integral Equations

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One Class of Systems of Linear Fredholm Integral Equations of the Third Kind on the Real Line with Multipoint Singularities

Differential Equations ◽

10.1134/s00122661200100122 ◽

2020 ◽

Vol 56 (10) ◽

pp. 1363-1370

Author(s):

A. Asanov ◽

R. A. Asanov

Keyword(s):

Integral Equations ◽

Real Line ◽

Fredholm Integral Equations ◽

The Real ◽

The Third

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Chebyshev Spectral Projection Methods for Two-Dimensional Fredholm Integral Equations of Second Kind

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01015-4 ◽

2021 ◽

Vol 7 (3) ◽

Author(s):

Bijaya Laxmi Panigrahi ◽

Jitendra Kumar Malik

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Fredholm Integral Equations ◽

Two Dimensional

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Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.03.015 ◽

2021 ◽

Author(s):

Nasibeh Karamollahi ◽

Mohammad Heydari ◽

Ghasem Barid Loghmani

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Hermite Interpolation ◽

Fredholm Integral Equations ◽

Nonlinear Fredholm Integral Equations ◽

Interpolation Polynomials ◽

Hermite Interpolation Polynomials

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Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1891225 ◽

2021 ◽

pp. 1-17

Author(s):

Moumita Mandal ◽

Kapil Kant ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Methods ◽

Fredholm Integral Equations ◽

Weakly Singular ◽

Nonlinear Fredholm Integral Equations

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