Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction - Couverture souple

Le, Vy K.; Ang, Dang D.; Gorenflo, Rudolf; Trong, Dang D.

 
9783540440062: Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
Couverture souple
ISBN 10 : 3540440062 ISBN 13 : 9783540440062
Editeur : Springer, 2008

Synopsis

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.

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Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
3540440062
ISBN 13 
9783540440062
Reliure
Broché
Nombre de pages
196
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783662182925: Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

Edition présentée

ISBN 10 :  3662182920 ISBN 13 :  9783662182925
Editeur : Springer, 2014
Couverture souple