Numerical Methods for Fluid Dynamics With Applications to Geophysics

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 currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean