Functional Analysis in Computational Mathematics

Functional Analysis in Computational Mathematics pdf epub mobi txt 電子書 下載2025

出版者:Birkhäuser Boston
作者:V.I. Lebedev
出品人:
頁數:268
译者:
出版時間:1996-12-01
價格:USD 101.00
裝幀:Hardcover
isbn號碼:9780817638887
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Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. In terms of functional analysis, such problems of computational mathematics are considered as extremal of problems of approximation theory of various types - the theory of numerical integration, variational methods of minimization of quadratic functional, and Galerkin and Ritz methods of finding solutions to operator equations. Also covered are: the general theory of iteration methods, Chebyshen iteration methods, composition method, along with some elements of nonlinear analysis. Sobolev spaces and embedding theorems are also introduced.

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