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Titlebook: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; Dale R. Durran Textbook 19991st edition Springer Science+Business Medi

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發(fā)表于 2025-3-21 17:02:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Numerical Methods for Wave Equations in Geophysical Fluid Dynamics
編輯Dale R. Durran
視頻videohttp://file.papertrans.cn/670/669100/669100.mp4
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叢書(shū)名稱Texts in Applied Mathematics
圖書(shū)封面Titlebook: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; Dale R. Durran Textbook 19991st edition Springer Science+Business Medi
描述Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIlas the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in AppliedMathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein- force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and en- courage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the AppliedMathematical Sei- ences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This book is designed to serve as a textbook for graduate students or advanced undergraduates studying numerical methods for th
出版日期Textbook 19991st edition
關(guān)鍵詞differential equation; dynamics; fluid dynamics; geophysics; modelling; partial differential equation
版次1
doihttps://doi.org/10.1007/978-1-4757-3081-4
isbn_ebook978-1-4757-3081-4Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

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Dale R. Durranovered in this self-contained text.Part I deals with the HilThis book is based on lecture notes from a second-year graduate course, and is a greatly expanded version of our previous monograph [K8]. We expose some aspects of the theory of semigroups of linear operators, mostly (but not only) from the
地板
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Dale R. Durranet {. ., . ., . .} of sesquilinear forms defined in the relaxed discrete algebraic scattering system such that . .: . . × . . → ? and . .: . . × . . → ? are nonnegative, . .(Γ. ., Γ. .) ≤ . .(. ., . .) for all . . ∈ . ., . .(Γ.,Γ.) = . .(., .) for all . ∈ ., and ∣. .(. ., . .)∣ ≤ . .(. ., . . .). .(
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Introduction,Richardson actually attempted to produce such a forecast by manually integrating a finitedifference approximation to the equations governing atmospheric motion. Unfortunately, his calculations did not yield a reasonable forecast. Moreover, the human labor required to obtain this disappointing result
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Beyond the One-Way Wave Equation,quation (or, equivalently, the one-dimensional constant-wind-speed advection equation). The equations governing wave-like geophysical flows include additional complexities. In particular, the flow may depend on several unknown functions that are related by a system of partial differential equations,
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Semi-Lagrangian Methods,e the evolution of the flow that would be observed following the motion of an individual parcel of fluid. Eulerian equations describe the evolution that would be observed at a fixed point in space (or at least at a fixed point in a coordinate system such as the rotating Earth whose motion is indepen
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