The Dynamics of Numerics and the Numerics of Dynamics
Published on 1. April 1992
Book
Hardback
271 pages
978-0-19-853642-0 (ISBN)
Description
This collection of conference papers presents the applications of dynamical systems in numerical analysis and of numerical problems and techniques in dynamical systems. Although numerical analysis and nonlinear dynamical systems appear to be incompatible, in fact both approaches to increasing our mathematical understanding are mutually dependent. Numerical analysts benefit from seeing the numeri algorithm itself as a dynamical system, while numerical expertise is useful in elucidating the behaviour of nonlinear systems.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
College/higher education
Professional and scholarly
Illustrations
halftones, line drawings, bibliography
ISBN-13
978-0-19-853642-0 (9780198536420)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
R. Temam: General methods for approximating intertial manifolds - Applications to computing; J. Carr: Slowly varying solutions of a nonlinear partial differential equation; I.N. Stewart: Bifurcation theory old and new; D.S. Broomhead: The geometry of dynamics; J.M. Sanz-Serna: Numerical ordinary differential equations versus dynamical systems; D.R. Moore and N.O. Weiss: Sensitivity of bifurcations to discretization; H.B. Keller: A numerical approach to Hilbert's sixteenth problem; R.S. Mackay: Some aspects of the dynamics and numerics of Hamiltonian systems; J.P. Keener: Uses and abuses of numerical methods in cardiology; D.F. Griffiths and A.R. Mitchell: Spurious behaviour and nonlinear instability in discretized partial differential equations; J.K. Hale: Dynamics and numerics.