Stability Of Numerical Methods For Delay Differential Equations

Stability of Numerical Methods for Delay Differential Equations PDF
Author: 蛟勋·匡
Publisher: Elsevier
ISBN: 9787030163172
Size: 40.29 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 295
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Book Description: Distributed by Elsevier Science on behalf of Science Press. Available internationally for the first time, this book introduces the basic concepts and theory of the stability of numerical methods for solving differential equations, with emphasis on delay differential equations and basic techniques for proving stability of numerical methods. It is a desirable reference for engineers and academic researchers and can also be used by graduate students in mathematics, physics, and engineering. Emphasis on the stability of numerical methods for solving delay differential equations, which is vital for engineers and researchers applying these mathematical models Introduces basic concepts and theory as well as basic techniques for readers to apply in practice Can be used as for graduate courses or as a reference book for researchers and engineers in related areas Written by leading mathematicians from Shanghai Normal University in China

Stability Of Linear Delay Differential Equations

Stability of Linear Delay Differential Equations PDF
Author: Dimitri Breda
Publisher: Springer
ISBN: 149392107X
Size: 75.18 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 158
View: 4364

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Book Description: This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.

Numerical Methods For Delay Differential Equations

Numerical Methods for Delay Differential Equations PDF
Author: Alfredo Bellen
Publisher: Oxford University Press
ISBN: 0199671370
Size: 53.11 MB
Format: PDF
Category : Business & Economics
Languages : en
Pages : 410
View: 7677

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Book Description: This unique book describes, analyses, and improves various approaches and techniques for the numerical solution of delay differential equations. It includes a list of available codes and also aids the reader in writing his or her own.

Wissenschaftliches Rechnen Mit Matlab

Wissenschaftliches Rechnen mit MATLAB PDF
Author: Alfio Quarteroni
Publisher: Springer-Verlag
ISBN: 3540293078
Size: 16.75 MB
Format: PDF, Kindle
Category : Mathematics
Languages : de
Pages : 269
View: 6616

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Book Description: Aus den Rezensionen der englischen Auflage: Dieses Lehrbuch ist eine Einführung in das Wissenschaftliche Rechnen und diskutiert Algorithmen und deren mathematischen Hintergrund. Angesprochen werden im Detail nichtlineare Gleichungen, Approximationsverfahren, numerische Integration und Differentiation, numerische Lineare Algebra, gewöhnliche Differentialgleichungen und Randwertprobleme. Zu den einzelnen Themen werden viele Beispiele und Übungsaufgaben sowie deren Lösung präsentiert, die durchweg in MATLAB formuliert sind. Der Leser findet daher nicht nur die graue Theorie sondern auch deren Umsetzung in numerischen, in MATLAB formulierten Code. MATLAB select 2003, Issue 2, p. 50. [Die Autoren] haben ein ausgezeichnetes Werk vorgelegt, das MATLAB vorstellt und eine sehr nützliche Sammlung von MATLAB Funktionen für die Lösung fortgeschrittener mathematischer und naturwissenschaftlicher Probleme bietet. [...] Die Präsentation des Stoffs ist durchgängig gut und leicht verständlich und beinhaltet Lösungen für die Übungen am Ende jedes Kapitels. Als exzellenter Neuzugang für Universitätsbibliotheken- und Buchhandlungen wird dieses Buch sowohl beim Selbststudium als auch als Ergänzung zu anderen MATLAB-basierten Büchern von großem Nutzen sein. Alles in allem: Sehr empfehlenswert. Für Studenten im Erstsemester wie für Experten gleichermassen. S.T. Karris, University of California, Berkeley, Choice 2003.

Numerical Treatment Of Differential Equations

Numerical Treatment of Differential Equations PDF
Author: Karl Strehmel
Publisher: Vieweg+Teubner Verlag
ISBN: 9783815420171
Size: 14.34 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : de
Pages : 372
View: 5475

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Book Description:

Numerical Methods For Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations PDF
Author: J. C. Butcher
Publisher: John Wiley & Sons
ISBN: 1119121507
Size: 78.15 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 538
View: 7649

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Book Description: A new edition of this classic work, comprehensively revised to present exciting new developments in this important subject The study of numerical methods for solving ordinary differential equations is constantly developing and regenerating, and this third edition of a popular classic volume, written by one of the world’s leading experts in the field, presents an account of the subject which reflects both its historical and well-established place in computational science and its vital role as a cornerstone of modern applied mathematics. In addition to serving as a broad and comprehensive study of numerical methods for initial value problems, this book contains a special emphasis on Runge-Kutta methods by the mathematician who transformed the subject into its modern form dating from his classic 1963 and 1972 papers. A second feature is general linear methods which have now matured and grown from being a framework for a unified theory of a wide range of diverse numerical schemes to a source of new and practical algorithms in their own right. As the founder of general linear method research, John Butcher has been a leading contributor to its development; his special role is reflected in the text. The book is written in the lucid style characteristic of the author, and combines enlightening explanations with rigorous and precise analysis. In addition to these anticipated features, the book breaks new ground by including the latest results on the highly efficient G-symplectic methods which compete strongly with the well-known symplectic Runge-Kutta methods for long-term integration of conservative mechanical systems. Key features: ?? Presents a comprehensive and detailed study of the subject ?? Covers both practical and theoretical aspects ?? Includes widely accessible topics along with sophisticated and advanced details ?? Offers a balance between traditional aspects and modern developments This third edition of Numerical Methods for Ordinary Differential Equations will serve as a key text for senior undergraduate and graduate courses in numerical analysis, and is an essential resource for research workers in applied mathematics, physics and engineering.

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Author:
Publisher:
ISBN:
Size: 67.28 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages :
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Book Description:

Chinese Journal Of Numerical Mathematics And Applications

Chinese Journal of Numerical Mathematics and Applications PDF
Author:
Publisher:
ISBN:
Size: 40.22 MB
Format: PDF, Kindle
Category : Numerical analysis
Languages : en
Pages :
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Book Description: