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Parallel and Sequential Methods for Ordinary Differential Equations (Numerical Mathematics and Scientific Computation) - Hardcover

 
9780198534327: Parallel and Sequential Methods for Ordinary Differential Equations (Numerical Mathematics and Scientific Computation)

Synopsis

As scientific technology becomes increasingly more sophisticated, numerical analysts, mathematicians, and engineers have to solve larger and larger problems, necessitating the use of parallel computers. This book presents an up-to-date exposition of the current state of the art of numerical methods for solving ordinary equations in a parallel computing environment. Although the main focus is on problems of initial value type, boundary value problems and partial differentiation equations are also covered. Other chapters are devoted to the parallel solution of linear systems of equation, existing sequential differential equation methods, and the behavior of a parallel code based on wave relaxation.

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About the Author

Kevin Burrage is at University of Queensland, Brisbane.

Review


"This excellent reference book is the first to attempt to survey the full range of methods for the parallel solution of ordinary differential equations....a must for all researchers in the numerical ODE community and for all scientists and engineers involved in the parallel solution of evolutionary problems modeled by differential equations. I recommend it highly."--Computing Reviews


"Useful for many scientists working with large-scale problems arising after the discretization of different mathematical models as well as for numerical analysts working in the area of numerical solution of systems of ordinary differential equations."--Mathematical Reviews


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  • PublisherClarendon Press
  • Publication date1995
  • ISBN 10 0198534329
  • ISBN 13 9780198534327
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages462

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Burrage, Kevin
Published by Clarendon Press, 1995
ISBN 10: 0198534329 ISBN 13: 9780198534327
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Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-A-010-03268

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ISBN 10: 0198534329 ISBN 13: 9780198534327
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780198534327. Seller Inventory # 4136418

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Burrage, Kevin
Published by Oxford University Press, Oxford, 1995
ISBN 10: 0198534329 ISBN 13: 9780198534327
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Hardcover. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. Hardcover. No jacket. Light marks and scores on boards. Spine ends and leading corners are lightly bumped and worn. Pages are clean and text is clear throughout. Binding is sound. HJW. Used. Seller Inventory # 293749

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Burrage, Kevin
Published by Oxford : Clarendon Press, 1995
ISBN 10: 0198534329 ISBN 13: 9780198534327
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First Edition. Near fine copy in the original colour-printed boards. Slightest suggestion only of dust-dulling to the spine bands and panel edges. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xvi, 446 pages : illustrations ; 24 cm. Notes; Includes bibliographical references (pages [404]-439) and index. Contents; Aspects of parallel computing -- An introduction to sequential ODE methods -- Order and stability: a general framework -- Parallel linear algebra -- Direct method for ODES -- Diverse approaches to parallelism -- Waveform relaxation techniques -- Discrete waveform methods -- Implementation of waveform algorithms. Subjects; Differential equations Numerical solutions Data processing. Parallel processing (Electronic computers). Differential equations. Sequential processing (Computer science). Differential equations Numerical solutions. Sequential analysis. 1 Kg. Seller Inventory # 430433

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Burrage, Kevin
Published by Oxford : Clarendon Press, 1995
ISBN 10: 0198534329 ISBN 13: 9780198534327
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First Edition. Near fine copy in the original colour-printed boards. Slightest suggestion only of dust-dulling to the spine bands and panel edges. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xvi, 446 pages : illustrations ; 24 cm. Notes; Includes bibliographical references (pages [404]-439) and index. Contents; Aspects of parallel computing -- An introduction to sequential ODE methods -- Order and stability: a general framework -- Parallel linear algebra -- Direct method for ODES -- Diverse approaches to parallelism -- Waveform relaxation techniques -- Discrete waveform methods -- Implementation of waveform algorithms. Subjects; Differential equations Numerical solutions Data processing. Parallel processing (Electronic computers). Differential equations. Sequential processing (Computer science). Differential equations Numerical solutions. Sequential analysis. 1 Kg. Seller Inventory # 430433

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Hardcover. Condition: new. Hardcover. This book presents an up-to-date exposition of the current `state of the art' of numerical methods for solving ordinary differential equations in a parallel computing environment. Although the main focus is on problems of initial value type, consideration will also be given to boundary value problems and partial differential equations. Furthermore, because linear algebra is an important component of the solution of differential equations, a complete chapteris devoted to the parallel solution of linear systems of equations. In addition to presenting an overview of parallel computing in general, two chapters are devoted to a summary of existing sequentialdifferential equation methods. The parallel techniques discussed include parallelism across the method, parallelism across the step, parallelism across the system, and dynamic iteration. The book concludes with a chapter on the behaviour of a parallel code based on waveform relaxation.This comprehensive book is unique in its content and provides a balance between theoretical and practical issues by providing general frameworks in which to study parallel methods. Unique in its field, this book presents "the state of the art" in parallel computational methods for ordinary differential equations. Although the main focus is on problems of initial value type, consideration is also given to boundary value problems and PDEs. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198534327

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