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Language: English
Published by Birkhïż½user 2013-11-27, 2013
ISBN 10: 3034803419 ISBN 13: 9783034803410
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Condition: New. Suitable for practical computing, this volume presents accurate and efficient exponentially convergent methods for abstract, differential equations. Each equation can be viewed as a meta-model of systems of both ordinary and partial differential equations. Series: Frontiers in Mathematics. Num Pages: 188 pages, 12 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 300. . 2011. 2011th Edition. paperback. . . . .
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Condition: New. Suitable for practical computing, this volume presents accurate and efficient exponentially convergent methods for abstract, differential equations. Each equation can be viewed as a meta-model of systems of both ordinary and partial differential equations. Series: Frontiers in Mathematics. Num Pages: 188 pages, 12 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 300. . 2011. 2011th Edition. paperback. . . . . Books ship from the US and Ireland.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems.The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.
Seller: AHA-BUCH GmbH, Einbeck, Germany
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems.The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 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 of 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 mathematical 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.
Taschenbuch. Condition: Neu. Exact and Truncated Difference Schemes for Boundary Value ODEs | Ivan Gavrilyuk (u. a.) | Taschenbuch | xi | Englisch | 2013 | Birkhäuser | EAN 9783034803410 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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