Exponentially convergent algorithms for abstract differential equations / Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk
(Frontiers in mathematics)
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Basel : Birkhäuser |
| 出版年 | c2011 |
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| 書誌ID | OB01024579 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references and index 1. Introduction -- 2. Preliminaries -- 3. The first-order equations -- 4. The second-order equations. License restrictions may limit access Summary: "This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to matematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems" -- P. 4 of cover |
| 著者標目 | *Gavrilyuk, Ivan P Makarov, Volodymyr Vasylyk, Vitalii |
| 件 名 | LCSH:Differential equations |
| 分 類 | LCC:QA371 |
| 巻冊次 | pbk. : alk. paper ; ISBN:9783034801188 RefWorks出力（各巻） pbk. : alk. paper ; ISBN:3034801181 RefWorks出力（各巻） e-ISBN ; ISBN:9783034801195 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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