The dynamics of numerics and the numerics of dynamics
Author(s)
Bibliographic Information
The dynamics of numerics and the numerics of dynamics
（The Institute of Mathematics and its Applications conference series, new ser. ; 34）
Clarendon Press, 1992
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Bristol||1990.892026779
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Note
Based on the proceedings of a conference on Dynamics of Numerics and Numerics of Dynamics, organized by the Institute of Mathematics and Its Applications and held at the University of Bristol in August 1990
Description and Table of Contents
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.
Table of Contents
- 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.
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