Numerical Methods for Delay Differential Equations (Hardcover)

Sprache: Englisch

Verlag: Oxford University Press, Oxford, 2003

0198506546 / 9780198506546

Anbieter: AussieBookSeller, Truganina, VIC, AustralienAussieBookSeller

Verkäufer/-in mit 5 Sternen

Verkäufer:in bei AbeBooks seit 22. Juni 2007

Hardcover

Zustand: Neu

EUR 154,01

EUR 32,88 Versand 
Versand von Australien nach USA

Anzahl: 1 verfügbar

In den Warenkorb
30 Tage kostenlose Rückgabe

Artikelbeschreibung des Verkäufers

Hardcover. The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are preliminarily outlined by numerous examples illustrating some unexpected, and often surprising, behaviours of the analytical and numerical solutions. The effect of various kinds of delays on the regularity of the solutionis described and some essential existence and uniqueness results are reported. The book is centered on the use of Runge-Kutta methods continuously extended by polynomial interpolation, includes abrief review of the various approaches existing in the literature, and develops an exhaustive error and well-posedness analysis for the general classes of one-step and multistep methods.The book presents a comprehensive development of continuous extensions of Runge-Kutta methods which are of interest also in the numerical treatment of more general problems such as dense output, discontinuous equations, etc. Some deeper insight into convergence and superconvergence ofcontinuous Runge-Kutta methods is carried out for DDEs with various kinds of delays. The stepsize control mechanism is also developed on a firm mathematical basis relying on the discrete and continuouslocal error estimates. Classical results and a unconventional analysis of "stability with respect to forcing term" is reviewed for ordinary differential equations in view of the subsequent numerical stability analysis. Moreover, an exhaustive description of stability domains for some test DDEs is carried out and the corresponding stability requirements for the numerical methods are assessed and investigated.Alternative approaches, based on suitable formulation of DEs aspartial differential equations and subsequent semidiscretization are briefly described and compared with the classical approach. A list of available codes is provided, and illustrative examples,pseudo-codes and numerical experiments are included throughout the book.Series Editors:G. H. Golub (Stanford University)C. Schwab (ETH Zurich)W. A. Light (University of Leicester)E. Sueli (University of Oxford)Recent developments in the field of numerical analysis have radically changed the nature of the subject. Firstly, the increasing power and availability of computer workstations hasallowed the widespread feasibility of complex numerical computations, and the demands of mathematical modelling are expanding at a corresponding rate. In addition to this, the mathematical theory of numericalmathematics itself is growing in sophistication, and numerical analysis now generates research into relatively abstract mathematics.Oxford University Press has had an established series Monographs in Numerical Analysis, including Wilkinson's celebrated treatise The Algebraic Eigenvalue Problem. In the face of the developments in the field this has been relaunched as the Numerical Mathematics and Scientific Computation series. As its name suggests, the series will now aimto cover the broad subject area concerned with theoretical and computational aspects of modern numerical mathematics. 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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Bestandsnummer des Verkäufers 9780198506546

Titel
Numerical Methods for Delay Differential Equations (Hardcover)
Autor
Alfredo Bellen
Verlag
Oxford University Press, Oxford
Erscheinungsjahr
2003
Zustand
new
Einband
Hardcover
Sprache
Englisch
ISBN-10
0198506546
ISBN-13
9780198506546

AussieBookSeller

Truganina, VIC, Australien

Verkäufer/-in mit 5 Sternen

Verkäufer:in bei AbeBooks seit 22. Juni 2007

Versandkosten von Australien nach USA

Artikel25 bis 45 Werktage8 bis 14 Werktage
Erster ArtikelEUR 32,88EUR 39,10
Die Versandzeiten werden von den Verkäuferinnen und Verkäufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, können Verzögerungen unterliegen. Eventuell anfallende Abgaben oder Gebühren sind von der Käuferin bzw. dem Käufer zu tragen. Die Verkäuferin bzw. der Verkäufer kann Sie bezüglich zusätzlicher Versandkosten kontaktieren, um einen möglichen Anstieg der Versandkosten für Ihre Artikel auszugleichen.

Zahlungsarten

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Unternehmensdaten der Verkäuferin bzw. des Verkäufers

The Nile Group Pty Ltd

42 Apex Drive
Truganina, VIC Australien 3029