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The Resource Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
Resource Information
The item Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 Rlinear provided they are continuous
 Language

 eng
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (315 p.)
 Note
 Description based upon print version of record
 Contents

 Complex and Real Algebras
 Approximation of Additive Integral Operators on Smooth Curves
 Approximation Methods for the RiemannHilbert Problem
 Piecewise Smooth and Open Contours
 Approximation Methods for the Muskhelishvili Equation
 Numerical Examples
 Isbn
 9783764387518
 Label
 Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach
 Title
 Approximation of Additive ConvolutionLike Operators
 Title remainder
 Real C*Algebra Approach
 Statement of responsibility
 by Victor Didenko, Bernd Silbermann
 Language

 eng
 eng
 Summary
 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 Rlinear provided they are continuous
 http://library.link/vocab/creatorName
 Didenko, Victor
 Dewey number
 512.55
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 ql3p3yl_foI
 HiFmkZLvzXs
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Silbermann, Bernd.
 Series statement
 Frontiers in Mathematics,
 http://library.link/vocab/subjectName

 Algebra
 Operator theory
 Numerical analysis
 Integral equations
 Integral Transforms
 Differential equations, partial
 Algebra
 Operator Theory
 Numerical Analysis
 Integral Equations
 Integral Transforms, Operational Calculus
 Partial Differential Equations
 Label
 Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Complex and Real Algebras  Approximation of Additive Integral Operators on Smooth Curves  Approximation Methods for the RiemannHilbert Problem  Piecewise Smooth and Open Contours  Approximation Methods for the Muskhelishvili Equation  Numerical Examples
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (315 p.)
 Form of item
 online
 Isbn
 9783764387518
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783764387518
 Specific material designation
 remote
 System control number

 (CKB)1000000000491949
 (EBL)364352
 (OCoLC)288569671
 (SSID)ssj0000517157
 (PQKBManifestationID)11346901
 (PQKBTitleCode)TC0000517157
 (PQKBWorkID)10486860
 (PQKB)10348373
 (SSID)ssj0000492147
 (PQKBManifestationID)11929972
 (PQKBTitleCode)TC0000492147
 (PQKBWorkID)10478456
 (PQKB)10894271
 (DEHe213)9783764387518
 (MiAaPQ)EBC364352
 (EXLCZ)991000000000491949
 Label
 Approximation of Additive ConvolutionLike Operators : Real C*Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Complex and Real Algebras  Approximation of Additive Integral Operators on Smooth Curves  Approximation Methods for the RiemannHilbert Problem  Piecewise Smooth and Open Contours  Approximation Methods for the Muskhelishvili Equation  Numerical Examples
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (315 p.)
 Form of item
 online
 Isbn
 9783764387518
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783764387518
 Specific material designation
 remote
 System control number

 (CKB)1000000000491949
 (EBL)364352
 (OCoLC)288569671
 (SSID)ssj0000517157
 (PQKBManifestationID)11346901
 (PQKBTitleCode)TC0000517157
 (PQKBWorkID)10486860
 (PQKB)10348373
 (SSID)ssj0000492147
 (PQKBManifestationID)11929972
 (PQKBTitleCode)TC0000492147
 (PQKBWorkID)10478456
 (PQKB)10894271
 (DEHe213)9783764387518
 (MiAaPQ)EBC364352
 (EXLCZ)991000000000491949
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