Towards understanding the theoretical challenges of numerical modeling of dynamical systems

Q4 Mathematics New Zealand Journal of Mathematics Pub Date : 2021-09-19 DOI:10.53733/129
M. Yampolsky
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引用次数: 1

Abstract

Asking and answering the right questions about computability and computational complexity of dynamical systems is more important than many may realize. In this note, I discuss the principal challenges, their implications, and some instructive open problems.    
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朝向理解动力系统数值模拟的理论挑战
提出和回答关于动力系统的可计算性和计算复杂性的正确问题比许多人可能意识到的更为重要。在这篇文章中,我将讨论主要的挑战、它们的含义以及一些有指导意义的开放性问题。
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来源期刊
New Zealand Journal of Mathematics
New Zealand Journal of Mathematics Mathematics-Algebra and Number Theory
CiteScore
1.10
自引率
0.00%
发文量
11
审稿时长
50 weeks
期刊最新文献
note on weak w-projective modules Robin inequality for n/phi(n) Bent-half space model problem for Lame equation with surface tension $k$-rational homotopy fixed points, $k\in \Bbb N$ note on the regularity criterion for the micropolar fluid equations in homogeneous Besov spaces
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