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Approximation of Additive Convolution-Like Operators: Real C*-Algebra Approach (Frontiers in Mathematics) - Couverture souple
Synopsis
This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods. The book is self-contained and accessible to graduate students.
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Présentation de l'éditeur
This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods. The book is self-contained and accessible to graduate students.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhäuser Basel
- Date d'édition2008
- ISBN 10 3764387505
- ISBN 13 9783764387501
- ReliureBroché
- Langueanglais
- Nombre de pages324
- Coordonnées du fabricantnon disponible
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Approximation of Additive Convolution-Like Operators
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Approximation of Additive Convolution-Like Operators
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Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABNR-273069
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Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach
Edité par
Birkhäuser Basel, 2008
ISBN 10 : 3764387505
ISBN 13 : 9783764387501
Ancien ou d'occasion
Couverture souple
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 324 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 4144046/12
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Approximation of Additive Convolution-Like Operators
Edité par
Birkhäuser Basel, 2008
ISBN 10 : 3764387505
ISBN 13 : 9783764387501
Neuf
Kartoniert / Broschiert
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Based on algebraic techniquesFirst book entirely devoted to numerical analysis for additive operatorsCovers various aspects of approximation methods for equations with conjugation arising in the boundary integral equation methodFirst. N° de réf. du vendeur 5279931
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Approximation of Additive Convolution-Like Operators : Real C\*-Algebra Approach
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated - and one has to nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive - i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are R-linear provided they are continuous. N° de réf. du vendeur 9783764387501
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Approximation of Additive Convolution-Like Operators
Edité par
Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2008, 2008
ISBN 10 : 3764387505
ISBN 13 : 9783764387501
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated - and one has to nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive - i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are R-linear provided they are continuous. 306 pp. Englisch. N° de réf. du vendeur 9783764387501
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