The Resource Moment theory and some inverse problems in potential theory and heat conduction, Dang Dinh Ang [and others]

Moment theory and some inverse problems in potential theory and heat conduction, Dang Dinh Ang [and others]

Label
Moment theory and some inverse problems in potential theory and heat conduction
Title
Moment theory and some inverse problems in potential theory and heat conduction
Statement of responsibility
Dang Dinh Ang [and others]
Contributor
Subject
Language
eng
Summary
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations
Member of
Cataloging source
DLC
Index
index present
LC call number
  • QA3
  • QA432
LC item number
  • .L28 no. 1792
  • .M66 2002
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1928-
http://library.link/vocab/relatedWorkOrContributorName
Ang, Dang Dinh
Series statement
Lectures notes in mathematics,
Series volume
1792
http://library.link/vocab/subjectName
  • Moment problems (Mathematics)
  • Inverse problems (Differential equations)
  • Potential theory (Mathematics)
  • Heat
  • Problèmes des moments (Mathématiques)
  • Problèmes inversés (Équations différentielles)
  • Potentiel, Théorie du
  • Chaleur
  • Heat
  • Inverse problems (Differential equations)
  • Moment problems (Mathematics)
  • Potential theory (Mathematics)
  • Potentiaaltheorie
  • Warmtegeleiding
  • Momentenmethode <Mathematik>
  • Potenzialtheorie
  • Inverses Problem
  • Wärmeleitungsgleichung
Label
Moment theory and some inverse problems in potential theory and heat conduction, Dang Dinh Ang [and others]
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [175]-180) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References -- Index
Dimensions
24 cm.
Extent
viii, 183 pages
Isbn
9783540440062
Lccn
2002029200
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)50252016
  • (OCoLC)ocm50252016
Label
Moment theory and some inverse problems in potential theory and heat conduction, Dang Dinh Ang [and others]
Publication
Bibliography note
Includes bibliographical references (p. [175]-180) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References -- Index
Dimensions
24 cm.
Extent
viii, 183 pages
Isbn
9783540440062
Lccn
2002029200
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)50252016
  • (OCoLC)ocm50252016

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