A singular perturbation problem in integrodifferential equations

dc.contributor.authorLiu, James H.
dc.date.accessioned2018-08-16T19:39:14Z
dc.date.available2018-08-16T19:39:14Z
dc.date.issued1993-09-16
dc.description.abstractAn optimal order of convergence result, with respect to the error level in the data, is given for a Tikhonov-like method for approximating values of an unbounded operator. It is also shown that if the choice of parameter in the method is made by the discrepancy principle, then the order of convergence of the resulting method is suboptimal. Finally, a modified discrepancy principle leading to an optimal order of convergence is developed.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, J. H. (1993). A singular perturbation problem in integrodifferential equations. <i>Electronic Journal of Differential Equations, 1993</i>(02), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7539
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1993, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectRegularization
dc.subjectUnbounded operator
dc.subjectOptimal convergence
dc.subjectStable
dc.titleA singular perturbation problem in integrodifferential equations
dc.typeArticle

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