Numerical Methods for Delay Differential Equations (Numerical Mathematics and Scientific Computation)

4 avg rating
( 1 ratings by Goodreads )
 
9780198506546: Numerical Methods for Delay Differential Equations (Numerical Mathematics and Scientific Computation)
View all copies of this ISBN edition:
 
 

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 behaviors of the analytical and numerical solutions. The effect of various kinds of delays on the regularity of the solution is described and some essential existence and uniqueness results are reported. The book is centered on 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.

"synopsis" may belong to another edition of this title.

About the Author:

Professor ALFREDO BELLEN Dipartimento di Scienze Matematiche. Universita' di Trieste, via Valerio 12/1, 34100 Trieste, Italy ++39 040 558 2608 ++39 040 558 2636 bellen@univ.trieste.it Full Professor of Numerical Analysis in Faculty of Engineerings. Department of Mathematical Sciences. University of Trieste, Italy Italian. Born in Livorno, May 21, 1941 Professor MARINO ZENNARO Dipartimento di Scienze Matematiche. Universita' di Trieste, via Valerio 12/1, 34100 Trieste, Italy ++39 040 558 2609 ++39 040 558 2636 zennaro@univ.trieste.it Full Professor of Numerical Analysis in Faculty of Sciences. Department of Mathematical Sciences. University of Trieste, Italy Italian. Born in Trieste, July 13, 1958

Review:


"...this is a serious monograph...It will serve as a guide and a reference for researchers and engineers interested in numerical solution of models from real-life applications. It may also serve as a textbook for a graduate-level course in this area that may be offered at some universities."--SIAM Review


"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Bellen, Alfredo, Zennaro, Marino
Published by Clarendon Press (2018)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Hardcover Quantity Available: 2
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Clarendon Press, 2018. Hardcover. Condition: New. Never used! This item is printed on demand. Seller Inventory # P110198506546

More information about this seller | Contact this seller

Buy New
US$ 97.49
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Alfredo Bellen; Marino Zennaro
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Quantity Available: 1
Seller:
BennettBooksLtd
(San Diego, CA, U.S.A.)
Rating
[?]

Book Description Condition: New. New. Seller Inventory # S-0198506546

More information about this seller | Contact this seller

Buy New
US$ 114.18
Convert Currency

Add to Basket

Shipping: US$ 4.95
Within U.S.A.
Destination, Rates & Speeds

3.

Bellen, A.
Published by OUP Oxford (2016)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description OUP Oxford, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9780198506546_lsuk

More information about this seller | Contact this seller

Buy New
US$ 166.21
Convert Currency

Add to Basket

Shipping: US$ 5.11
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Bellen, Alfredo
Published by Clarendon Press (2003)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Clarendon Press, 2003. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780198506546

More information about this seller | Contact this seller

Buy New
US$ 178.12
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

5.

Bellen, Alfredo
Published by Clarendon Press (2003)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Clarendon Press, 2003. HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780198506546

More information about this seller | Contact this seller

Buy New
US$ 182.53
Convert Currency

Add to Basket

Shipping: US$ 11.92
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

NUMERICAL METHODS FOR DELAY DIFFERENTIAL EQUATIONS (HARDBACK) -
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Condition: NEW. 9780198506546 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE01568533

More information about this seller | Contact this seller

Buy New
US$ 191.37
Convert Currency

Add to Basket

Shipping: US$ 10.60
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Alfredo Bellen, Marino Zennaro
Published by Oxford University Press, USA (2003)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Oxford University Press, USA, 2003. Hardcover. Condition: New. Seller Inventory # DADAX0198506546

More information about this seller | Contact this seller

Buy New
US$ 211.00
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

Alfredo Bellen, Marino Zennaro
Published by Oxford University Press, United Kingdom (2003)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Hardcover Quantity Available: 10
Print on Demand
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press, United Kingdom, 2003. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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 solution is 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 a brief 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 of continuous 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 continuous local 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 as partial 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. Suli (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 has allowed 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 numerical mathematics 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 aim to cover the broad subject area concerned with theoretical and computational aspects of modern numerical mathematics. Seller Inventory # APC9780198506546

More information about this seller | Contact this seller

Buy New
US$ 217.60
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Alfredo Bellen, Marino Zennaro
Published by Oxford University Press, United Kingdom (2003)
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press, United Kingdom, 2003. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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 solution is 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 a brief 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 of continuous 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 continuous local 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 as partial 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. Suli (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 has allowed 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 numerical mathematics 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 aim to cover the broad subject area concerned with theoretical and computational aspects of modern numerical mathematics. Seller Inventory # APC9780198506546

More information about this seller | Contact this seller

Buy New
US$ 225.39
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Bellen, Alfredo; Zennaro, Marino
Published by Clarendon Press
ISBN 10: 0198506546 ISBN 13: 9780198506546
New Hardcover Quantity Available: > 20
Seller:
Russell Books
(Victoria, BC, Canada)
Rating
[?]

Book Description Clarendon Press. Hardcover. Condition: New. 0198506546 Special order direct from the distributor. Seller Inventory # ING9780198506546

More information about this seller | Contact this seller

Buy New
US$ 262.50
Convert Currency

Add to Basket

Shipping: US$ 7.00
From Canada to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book