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Titlebook: Approximation of Additive Convolution-Like Operators; Real C*-Algebra Appr Victor D. Didenko,Bernd Silbermann Book 2008 Birkh?user Basel 20

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發(fā)表于 2025-3-21 18:30:02 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Approximation of Additive Convolution-Like Operators
期刊簡稱Real C*-Algebra Appr
影響因子2023Victor D. Didenko,Bernd Silbermann
視頻videohttp://file.papertrans.cn/161/160442/160442.mp4
發(fā)行地址Based on algebraic techniques.First book entirely devoted to numerical analysis for additive operators.Covers various aspects of approximation methods for equations with conjugation arising in the bou
學(xué)科分類Frontiers in Mathematics
圖書封面Titlebook: Approximation of Additive Convolution-Like Operators; Real C*-Algebra Appr Victor D. Didenko,Bernd Silbermann Book 2008 Birkh?user Basel 20
影響因子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 r
Pindex Book 2008
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P. Frick,G.-A. Harnack,A. Praderators studied act in a pair of spaces, so the corresponding operator spaces do not have any multiplication operation which makes the use of algebraic techniques more difficult. However, by introducing appropriate para-algebras, one can obtain necessary and sufficient stability conditions for the app
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H. Stolley,M. Kersting,W. Droeseen functions, and Γ is either a simple open or closed piecewise smooth curve in the complex plane ?. A case of particular interest is the double layer potential equation . where . refers to the inner normal to Γ at ., and . stands for a compact operator.
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P. Frick,G.-A. Harnack,A. Praderticity, radar imaging, and theory of slow viscous flows can be reduced to the biharmonic problem . where Δ is the Laplace operator (3.48). We assume that the function . is from the space . (.) ∪ . (.). The notation . (.) is used for the Sobolev space of .-times differentiable functions on ., the der
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