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Titlebook: Method of Difference Potentials and Its Applications; Viktor S. Ryaben’kii Book 2002 Springer-Verlag Berlin Heidelberg 2002 Integral equat

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發(fā)表于 2025-3-21 19:46:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Method of Difference Potentials and Its Applications
編輯Viktor S. Ryaben’kii
視頻videohttp://file.papertrans.cn/632/631845/631845.mp4
概述First English edition of a well-known Russian monograph..Includes supplementary material:
叢書(shū)名稱Springer Series in Computational Mathematics
圖書(shū)封面Titlebook: Method of Difference Potentials and Its Applications; Viktor S. Ryaben’kii Book 2002 Springer-Verlag Berlin Heidelberg 2002 Integral equat
描述The method of difference potentials (MDP) was proposed in [1]-[8] and sig- nificantly developed in [9]-[101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author‘s first book devoted to this method, which was published by "Nauka" in 1987 [100]. This monograph deals with the MDP apparatus and several of its appli- cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu- tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con- ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically so
出版日期Book 2002
關(guān)鍵詞Integral equation; Potential; active shielding; artificial boundary conditions for flow; boundary-value
版次1
doihttps://doi.org/10.1007/978-3-642-56344-7
isbn_softcover978-3-642-62715-6
isbn_ebook978-3-642-56344-7Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 2002
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:06:51 | 只看該作者
Generalized Potentials and Boundary Equations with Projections for Differential Operators clear traces. These boundary equations contain a projection in their structure. They are a generalization of the classical Sokhotskii-Plemelj conditions in the theory of analytic functions (of the Cauchy-Riemann equations) and of the Calderon-Seeley boundary equations [109, 110].
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Differential and Difference Potentials density by a difference potential, which is relatively easy to calculate. We have used the term “differential” for potentials associated with differential operators so as to distinguish them from “difference” potentials corresponding to difference operators.
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發(fā)表于 2025-3-22 14:57:59 | 只看該作者
Viktor S. Ryaben’kiiFirst English edition of a well-known Russian monograph..Includes supplementary material:
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Springer Series in Computational Mathematicshttp://image.papertrans.cn/m/image/631845.jpg
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Introductionpplications of this method is the numerical solution of interior and exterior boundary-value problems for linear partial differential equations. In this traditional area of computational mathematics, the most frequently used methods are the finite-difference method and the boundary elements method.
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發(fā)表于 2025-3-23 08:05:44 | 只看該作者
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