Using Lagrange principle for solving two-dimensional integral equation with a positive kernel

DOI10.1080/17415977.2015.1077445zbMath1342.35442OpenAlexW2290187420MaRDI QIDQ3177948

Anatoly G. Yagola, Ye Zhang, Dmitry V. Lukyanenko

Publication date: 8 July 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2015.1077445

zbMATH Keywords

regularizationerror estimationLagrange principleoptimal recoveryFredholm integral equation of the first kind

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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Cites Work

• Introduction to sensitivity and stability analysis in nonlinear programming
• An optimal regularization method for convolution equations on the sourcewise represented set
• Optimal recovery and extremum theory
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Computational Methods for Inverse Problems
• Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions
• Optimal recovery in problems of solving linear integral equations with a priori information
• Point-to-Set Maps in Mathematical Programming
• Technical Note—The Continuity of the Perturbation Function of a Convex Program

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