Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insights into numerical algorithms? These and related issues were the focus of the workshop on Chaotic Numerics, held at Deakin University in Geelong, Australia, in July 1993. The contributions to this book are based on lectures presented during the workshop and provide a broad overview of this area of research.
Peter E Kloeden
Chaotic Numerics [PDF ebook]
Chaotic Numerics [PDF ebook]
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Format PDF ● Halaman-halaman 278 ● ISBN 9780821877630 ● Penyunting Peter E Kloeden ● Penerbit American Mathematical Society ● Diterbitkan 2011 ● Muat turun 3 kali ● Mata wang EUR ● ID 6557429 ● Salin perlindungan Adobe DRM
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