Regularization of Mellin-type inverse problems with an application to oil engineering

DOI10.1016/j.laa.2004.03.038zbMath1065.65073OpenAlexW2140220479MaRDI QIDQ1888342

Silva Fischer, Olaf Hansen, Ronny Ramlau

Publication date: 23 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.038

zbMATH Keywords

Mellin transformconvergencenumerical resultsHilbert spaceTikhonov regularizationlinear ill-posed problemsintegral operatorsMorozov's discrepancy principleMellin convolution operatorcapillary pressure operator

Mathematics Subject Classification ID

Integral operators (45P05) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• On the spectra of a Hardy kernel
• Capillary pressure curves from centrifuge data: a semi-iterative approach
• Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
• Fast CG-Based Methods for Tikhonov--Phillips Regularization
• Some theorems on perturbation theory. II
• An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection

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