Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction: 1792 (Lecture Notes in Mathematics, 1792) - Tapa blanda
Sinopsis
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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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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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics, 1792)
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Springer Berlin Heidelberg Sep 2002, 2002
ISBN 10: 3540440062
ISBN 13: 9783540440062
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 192 pp. Englisch. Nº de ref. del artículo: 9783540440062
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Moment theory and some inverse problems in potential theory and heat conduction. Lecture notes in mathematics; Bd. 1792.
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Berlin, Springer, 2002
ISBN 10: 3540440062
ISBN 13: 9783540440062
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03094 9783540440062 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2488991
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Springer Berlin Heidelberg, 2002
ISBN 10: 3540440062
ISBN 13: 9783540440062
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasMoment 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 deter. Nº de ref. del artículo: 4890783
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Springer, Springer Vieweg Sep 2002, 2002
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 192 pp. Englisch. Nº de ref. del artículo: 9783540440062
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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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Springer, Springer Vieweg, 2002
ISBN 10: 3540440062
ISBN 13: 9783540440062
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783540440062
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