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Titlebook: Attractors Under Discretisation; Xiaoying Han,Peter Kloeden Book 2017 The Author(s) 2017 One step numerical schemes.Autonomous dynamicl sy

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發(fā)表于 2025-3-21 17:22:08 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Attractors Under Discretisation
影響因子2023Xiaoying Han,Peter Kloeden
視頻videohttp://file.papertrans.cn/165/164914/164914.mp4
發(fā)行地址Combines a highly readable style, clear proofs, and many examples.Reviews essential earlier work on the discretisation of attractors and saddle points in autonomous systems.Introduces cutting-edge wor
學(xué)科分類SpringerBriefs in Mathematics
圖書封面Titlebook: Attractors Under Discretisation;  Xiaoying Han,Peter Kloeden Book 2017 The Author(s) 2017 One step numerical schemes.Autonomous dynamicl sy
影響因子.This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system..
Pindex Book 2017
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2191-8198 dle points in autonomous systems.Introduces cutting-edge wor.This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle poin
地板
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2191-8198 by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system..978-3-319-61933-0978-3-319-61934-7Series ISSN 2191-8198 Series E-ISSN 2191-8201
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發(fā)表于 2025-3-22 10:05:28 | 只看該作者
Xiaoying Han,Peter KloedenCombines a highly readable style, clear proofs, and many examples.Reviews essential earlier work on the discretisation of attractors and saddle points in autonomous systems.Introduces cutting-edge wor
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Produktdesign: Materialeigenschaften,First the Euler scheme and its local and global discretisation errors are presented. Then several one step schemes such as Taylor schemes, Runge–Kutta schemes are introduced. Consistency and numerical instability are discussed.
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Produktdesign: Materialeigenschaften,Lyapunov functions are defined and used to investigate the stability of the zero solution to Euler schemes for linear and nonlinear ODEs.
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