Dale R. Durran

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 the solution of partial differen tial equations goveming wave-like flows. Although the majority of the schemes presented in this text were introduced ineither the applied-rnathematics or atmos pheric-science literature, the focus is not on the nuts-and-bolts details of various atmospheric models but on fundamental numerical methods that have applications in a wide range of scientific and engineering disciplines.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer US
• Seitenzahl: 466
• Erscheinungstermin: 14. März 2013
• Englisch
• ISBN-13: 9781475730814
• Artikelnr.: 43988719

Autorenporträt

Dale Durran is a professor in the Atmospheric Sciences Department at the University of Washington in Seattle, WA. His research interests include Mesoscale Dynamic, Meteorology, Numerical Methods, Mountain Meteorology, Atmospheric Waves.

Inhaltsangabe

Ordinary Differential Equations.- Finite-Difference Approximations for One-Dimensional Transport.- Beyond One-Dimensional Transport.- Conservation Laws and Finite-Volume Methods.- Series-Expansion Methods.- Semi-Lagrangian Methods.- Physically Insignificant Fast Waves.- Nonreflecting Boundary Conditions.- Numerical Miscellany.

Rezensionen

From the reviews of the second edition:

"This is a largely self-contained and relatively far-reaching presentation of numerical fluid dynamics. It is aimed towards practitioners (meteorologists, physicists, engineers), providing ... a presentation of more mathematical depth than is frequently encountered in such books." (H. Muthsam, Monatshefte für Mathematik, Vol. 166 (1), April, 2012)

"Durran's direct and yet information-rich style makes this an excellent reference book. ... This is a good book for postdocs and professors as well as students. ... For an atmospheric modeler, this is probably the first book to buy. ... book is a more direct path to algorithms for graduate students and researchers who already have some familiarity with atmospheric dynamics. ... is worth a look by computational fluid dynamicists in other fields, especially those looking for ideas and insights outside their own particular specialties." (SIAM Review, Vol. 54 (4), 2012)

"This book is an introduction to numerical methods for fluid dynamics. ... The text could be useful to graduate students and scientists working in various branches of applied mathematics and engineering, not only in geophysical fluids. The material is intelligible to readers with a general mathematical background. The book includes exercises and is well illustrated with figures linking theoretical analyses to actual computations." (Titus Petrila, Zentralblatt MATH, Vol. 1214, 2011)

From the reviews:

"...an excellent reference...should be brought to the attention of readers in meteorology, oceanography, physics, mechanics and engineering... an excellent text book...the extensiveness, theoretical and practical extent this book reaches make it a classical work." Acta Meteorologica Sinica

"...The book's unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currentlyactively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean