Overview

"This text explores several aspects of discrete Hamiltonian systems. 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 covers variable step size discrete variational theory, a discrete Legendre transformation from discrete Euler-Lagrange equations to discrete Hamiltonian systems. 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."

Full Product Details

Author:   Calvin Ahlbrandt ,  A.C. Peterson
Publisher:   Springer
Imprint:   Springer
Edition:   1996 ed.
Volume:   16
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.600kg
ISBN:  

9780792342779

ISBN 10:   0792342771
Pages:   376
Publication Date:   31 October 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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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