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Titlebook: Implementing Spectral Methods for Partial Differential Equations; Algorithms for Scien David A. Kopriva Book 2009 Springer Science+Business

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書目名稱Implementing Spectral Methods for Partial Differential Equations
副標題Algorithms for Scien
編輯David A. Kopriva
視頻videohttp://file.papertrans.cn/463/462650/462650.mp4
概述First book to cover multidomain spectral methods for the numerical solution of time-dependent 1D and 2D partial differential equations.Presented without too much abstract mathematics and minutae.Conta
叢書名稱Scientific Computation
圖書封面Titlebook: Implementing Spectral Methods for Partial Differential Equations; Algorithms for Scien David A. Kopriva Book 2009 Springer Science+Business
描述.This book offers a systematic and self-contained approach to solve?partial differential equations numerically using single and multidomain spectral?methods. It contains detailed algorithms in pseudocode for the application?of spectral approximations to both one and two dimensional PDEs?of mathematical physics describing potentials,?transport, and wave propagation. David Kopriva, a well-known researcher?in the field with extensive practical experience, shows how only a few?fundamental algorithms form the building blocks of any spectral code, even?for problems with complex geometries. The book addresses computational?and applications scientists, as it emphasizes the?practical derivation and implementation of spectral methods over abstract mathematics. It is divided into two parts: First comes a primer on spectral?approximation and the basic algorithms, including FFT algorithms, Gauss?quadrature algorithms, and how to approximate derivatives. The second?part shows how to use those algorithms to solve steady and time dependent PDEs in one and two space dimensions. Exercises and questions at the?end of each chapter encourage the reader to experiment with the?algorithms..
出版日期Book 2009
關鍵詞Approximation of Derivatives; FFT Algorithm; Implementation of Spectral Methods; Multidomain Spectral M
版次1
doihttps://doi.org/10.1007/978-90-481-2261-5
isbn_softcover978-90-481-8484-2
isbn_ebook978-90-481-2261-5Series ISSN 1434-8322 Series E-ISSN 2198-2589
issn_series 1434-8322
copyrightSpringer Science+Business Media B.V. 2009
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David A. Koprivaial markers. In marker-less feature-based tracking salient regions in the images are identified by the detector and information about these regions are extracted and stored by the descriptor for matching. Speeded-Up Robust Feature (SURF) is considered as the most robust detector and descriptor so fa
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David A. Koprivaough there would be much disagreement as to the exact proportion of papers published in developmental journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholarly books devoted to work in cognitive development is especially appropriate at this tim
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David A. Koprivat. Socrates wondered how an ignorant shepherd boy could manipulate objects as if he were aware of their geometric properties. The larger question was how we come to know anything when we do not already know it. The problem rests in the perception that there is a subjective ‘I’, or person, looking ou
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