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

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Calvin Ahlbrandt A.C. Peterson

Discrete Hamiltonian Systems

Difference Equations, Continued Fractions, and Riccati Equations

Calvin Ahlbrandt, A.C. Peterson

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English

Springer
31 October 1996

Functional analysis & transforms; Analytic topology

Series: Texts in the Mathematical Sciences

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.

By: Calvin Ahlbrandt, A.C. Peterson
Imprint: Springer
Edition: 1996 ed.
Volume: 16
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 1.600kg
ISBN: 9780792342779
ISBN 10: 0792342771
Series: Texts in the Mathematical Sciences
Pages: 376
Publication Date: 31 October 1996
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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

`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