"This book proposes a new strategy to gain "clean" reliable numerical simulations of chaos and turbulence, namely the Clean Numerical Simulation (CNS), which can greatly reduce numerical noises to a tiny level much smaller than that of true solutions so that numerical noises are negligible, and the corresponding numerical simulation is "clean" and thus reliable. By means of the CNS, one can gain "clean" reliable numerical simulations of chaotic systems in a long enough interval of time. The CNS provides a much more reliable ...
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"This book proposes a new strategy to gain "clean" reliable numerical simulations of chaos and turbulence, namely the Clean Numerical Simulation (CNS), which can greatly reduce numerical noises to a tiny level much smaller than that of true solutions so that numerical noises are negligible, and the corresponding numerical simulation is "clean" and thus reliable. By means of the CNS, one can gain "clean" reliable numerical simulations of chaotic systems in a long enough interval of time. The CNS provides a much more reliable tool than ever to study chaotic and turbulent systems in various fields of science and engineering. In this book, the author will describe the basic ideas of the CNS and illustrate the CNS as a new powerful tool for chaos and turbulence. Unlike traditional algorithms in single/double precision, the CNS can provide us the "clean" results of chaos and turbulence. Using these "clean" results as benchmark solutions, we can investigate many important scientific problems, such as the origin of macroscopic randomness, the influence of micro-level uncertainty and tiny external noises to chaos and turbulence, and so on. Comparing the "clean" CNS results with those badly "polluted" by numerical noises, one can investigate the influence of database noises on machine learning. Through this application and more, the author illustrates the validity and potential of the CNS. The CNS is as a new, powerful tool for chaos and turbulence. It opens a new door for us to enter a "clean" numerical world"--
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Add this copy of Clean Numerical Simulation to cart. $93.67, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by CRC Press.
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Fine. Sewn binding. Cloth over boards. 144 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color, Halftones, black & white, Halftones, color. Advances in Applied Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Clean Numerical Simulation to cart. $93.93, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by CRC Press.
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Seller's Description:
New. Sewn binding. Cloth over boards. 144 p. Contains: Unspecified, Illustrations, black & white, Illustrations, color, Halftones, black & white, Halftones, color. Advances in Applied Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Clean Numerical Simulation to cart. $93.94, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by CRC Press.