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W839749968 abstract "One of the most common problems of scientific applications is computation of the derivative of a function specified by possibly noisy or imprecise experimental data. Application of conventional techniques for numerically calculating derivatives will amplify the noise making the result useless. We address this typical ill-posed problem by application of perturbation method to linear first kind equations Ax=f with bounded operator A. We assume that we know the operator A and source function f only such as ||A-A||<=b ||f-f||" @default.
W839749968 created "2016-06-24" @default.
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W839749968 date "2015-01-01" @default.
W839749968 modified "2023-09-24" @default.
W839749968 title "On Perturbation Method for the First Kind Equations: Regularization and Application" @default.
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W839749968 doi "https://doi.org/10.14529/mmp150206" @default.
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