Solving Ordinary Differential Equations I: Nonstiff Problems

Author:   Ernst Hairer ,  Syvert P. Nørsett ,  Gerhard Wanner
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2nd ed. 1993. Softcover reprint of the original 2nd ed. 1993
Volume:   8
ISBN:  

9783642081583


Pages:   528
Publication Date:   01 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Solving Ordinary Differential Equations I: Nonstiff Problems


Overview

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.

Full Product Details

Author:   Ernst Hairer ,  Syvert P. Nørsett ,  Gerhard Wanner
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd ed. 1993. Softcover reprint of the original 2nd ed. 1993
Volume:   8
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.825kg
ISBN:  

9783642081583


ISBN 10:   3642081584
Pages:   528
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Classical Mathematical Theory.- Runge-Kutta and Extrapolation Methods.- Multistep Methods and General Linear Methods.

Reviews

From the reviews This is the revised version of the first edition of Vol. I published in 1987. !.Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically. Zeitschrift fur Angewandte Mathematik und Physik ! This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planning! Optimization ! This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial. Mathematics and Computers


From the reviews This is the revised version of the first edition of Vol. I published in 1987. ...Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically. Zeitschrift fur Angewandte Mathematik und Physik ... This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planning... Optimization ... This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial. Mathematics and Computers


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