Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations
Author:   Calvin Ahlbrandt ,  A.C. Peterson
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   16
ISBN:  

9781441947635


Pages:   376
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations


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Overview

This book explores several aspects of discrete Hamiltonian systems. It is unique in that it provides interconnections between symplectic systems, recessive and dominant solutions, various discrete Riccati equations, and continued fraction representations of solutions of Riccati equations. It also presents variable step size discrete variational theory, a discrete Legendre transformation from discrete Euler-Lagrange equations to discrete Hamiltonian systems. Novel use is made of the implicit function theorem to show the importance of step size in numerical solutions of Hamiltonian systems. An 'a priori' step size criterion shows how one can avoid parasitic numerical solutions. This book is accessible to students of mathematics, engineering, physics, chemistry and economics at the senior or beginning graduate level who have completed a course in matrix theory. It provides foundation work for engineering students studying optimal control and estimation as well as the variational problems arising in physics, chemistry, and economics. Audience: Mathematics, engineering and physics students who have had a course in matrix theory.

Full Product Details

Author:   Calvin Ahlbrandt ,  A.C. Peterson
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   16
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.599kg
ISBN:  

9781441947635


ISBN 10:   1441947639
Pages:   376
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface. 1. Second Order Scalar Difference Equations. 2. Continued Fractions. 3. Symplectic Systems. 4. Discrete Variational Theory. 5. Symmetric Three Term Recurrence Relations. 6. Discrete Riccati Equations for Three Term Recurrences. 7. Green's Functions for Nonhomogeneous Second Order Difference Equations. 8. Disconjugacy Criteria. 9. Discrete Linear Hamiltonian Systems. References. Index.

Reviews

'In short, the book is well written and includes all the recent results in this are. It will be very useful to undergraduate and postgraduate students in mathematics as well as to researchers in discrete integrable systems.' Mathematical Reviews, 98m


'In short, the book is well written and includes all the recent results in this are. It will be very useful to undergraduate and postgraduate students in mathematics as well as to researchers in discrete integrable systems.' Mathematical Reviews, 98m


`In short, the book is well written and includes all the recent results in this are. It will be very useful to undergraduate and postgraduate students in mathematics as well as to researchers in discrete integrable systems.' Mathematical Reviews, 98m


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