The Resource Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)

Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)

Label
Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach
Title
Approximation of Additive Convolution-Like Operators
Title remainder
Real C*-Algebra Approach
Statement of responsibility
by Victor Didenko, Bernd Silbermann
Creator
Contributor
Author
Author
Subject
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 R-linear provided they are continuous
Member of
Is Subseries of
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
QA150-272
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 Convolution-Like Operators : Real C*-Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
Instantiates
Publication
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 Riemann-Hilbert 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
10.1007/978-3-7643-8751-8
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
  • (DE-He213)978-3-7643-8751-8
  • (MiAaPQ)EBC364352
  • (EXLCZ)991000000000491949
Label
Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach, by Victor Didenko, Bernd Silbermann, (electronic resource)
Publication
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 Riemann-Hilbert 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
10.1007/978-3-7643-8751-8
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
  • (DE-He213)978-3-7643-8751-8
  • (MiAaPQ)EBC364352
  • (EXLCZ)991000000000491949

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