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Applied and Computational Measurable Dynamics
Erik M. BolltNaratip Santitissadeekorn
出版SIAM, 2013-12-03
主題Mathematics / AppliedMathematics / Differential Equations / OrdinaryScience / Physics / Mathematical & ComputationalScience / Environmental ScienceScience / Mechanics / Dynamics
ISBN16119726399781611972634
URLhttp://books.google.com.hk/books?id=vRdLAgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Until recently, measurable dynamics has been held as a highly theoretical mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.