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dc.contributor.advisorGeorge, Santhosh-
dc.contributor.authorKanagaraj, K.-
dc.date.accessioned2021-08-19T04:59:02Z-
dc.date.available2021-08-19T04:59:02Z-
dc.date.issued2020-
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/16869-
dc.description.abstractThis thesis is devoted for obtaining a stable approximate solution for ill-posed operator equation F x = y: In the second Chapter we consider a non-linear illposed equation F x = y; where F is monotone operator defined on a Hilbert space. Our analysis in Chapter 2 is in the setting of a Hilbert scale. In the rest of the thesis, we studied weighted or fractional regularization method for linear ill-posed equation. Precisely, in Chapter 3 we studied fractional Tikhonov regularization method and in Chapters 4 and 5 we studied fractional Lavrentiv regularization method for the linear ill-posed equation A x = y; where A is a positive self-adjoint operator. Numerical examples are provided to show the reliability and effectiveness of our methods.en_US
dc.language.isoenen_US
dc.publisherNational Institute of Technology Karnataka, Surathkalen_US
dc.subjectDepartment of Mathematical and Computational Sciencesen_US
dc.subjectIll-Posed Problemen_US
dc.subjectRegularization parameteren_US
dc.subjectDiscrepancy principleen_US
dc.subjectFractional Tikhonov regularization methoden_US
dc.subjectMonotone Operatoren_US
dc.subjectLavrentiev Regularizationen_US
dc.subjectHilbert Scalesen_US
dc.subjectAdaptive Parameter Choice Strategyen_US
dc.titleWeighted Regularization Methods for Ill-Posed Problemsen_US
dc.typeThesisen_US
Appears in Collections:1. Ph.D Theses

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