View in EDS PDF Full Text ePub Full Text

Regularization Algorithms for Ill-Posed Problems

Saved in:
Bibliographic Details
Title: Regularization Algorithms for Ill-Posed Problems
Description: This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. ContentsIntroductionRegularization Methods For Linear EquationsFinite Difference MethodsIterative Regularization MethodsFinite-Dimensional Iterative ProcessesVariational Inequalities and Optimization Problems
Authors: Anatoly B. Bakushinsky, Mikhail M. Kokurin, Mikhail Yu. Kokurin
Resource Type: eBook.
Subjects: Iterative methods (Mathematics), Inverse problems (Differential equations), Differential equations, Partial--Improperly posed problems
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Applied, MATHEMATICS / Functional Analysis, MATHEMATICS / Numerical Analysis
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
  – Type: ebook-epub
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1710724
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1710724$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1710724$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Regularization Algorithms for Ill-Posed Problems
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. ContentsIntroductionRegularization Methods For Linear EquationsFinite Difference MethodsIterative Regularization MethodsFinite-Dimensional Iterative ProcessesVariational Inequalities and Optimization Problems
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Anatoly+B%2E+Bakushinsky%22">Anatoly B. Bakushinsky</searchLink><br /><searchLink fieldCode="AR" term="%22Mikhail+M%2E+Kokurin%22">Mikhail M. Kokurin</searchLink><br /><searchLink fieldCode="AR" term="%22Mikhail+Yu%2E+Kokurin%22">Mikhail Yu. Kokurin</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+problems+%28Differential+equations%29%22">Inverse problems (Differential equations)</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%2C+Partial--Improperly+posed+problems%22">Differential equations, Partial--Improperly posed problems</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Functional+Analysis%22">MATHEMATICS / Functional Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=1710724
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.353
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Inverse problems (Differential equations)
        Type: general
      – SubjectFull: Differential equations, Partial--Improperly posed problems
        Type: general
    Titles:
      – TitleFull: Regularization Algorithms for Ill-Posed Problems
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Anatoly B. Bakushinsky
      – PersonEntity:
          Name:
            NameFull: Mikhail M. Kokurin
      – PersonEntity:
          Name:
            NameFull: Mikhail Yu. Kokurin
      – PersonEntity:
          Name:
            NameFull: Anatoly B. Bakushinsky
      – PersonEntity:
          Name:
            NameFull: Mikhail M. Kokurin
      – PersonEntity:
          Name:
            NameFull: Mikhail Yu. Kokurin
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 26
              M: 06
              Type: profile
              Y: 2019
          Identifiers:
            – Type: isbn-print
              Value: 9783110556308
            – Type: isbn-electronic
              Value: 9783110556384
            – Type: isbn-electronic
              Value: 9783110557350
          Numbering:
            – Type: volume
              Value: 00061
          Titles:
            – TitleFull: Regularization Algorithms for Ill-Posed Problems
              Type: main
ResultId 1