DYNAMIC DATA ASSIMILATION: A LEAST SQUARES APPROACH John H. Lewis, S. Lakshmivarahan, and Sudarshan Dhall, 2006, 654 pp., $150.00, hardbound, Cambridge University Press, ISBN 978-0-521-85155-8
I believe this is the first book about data assimilation with so many theories and algorithms put together systematically.
Audience: Data assimilation researchers and developers will find this work to be a very useful handbook on their desks.
This is a perfect textbook for postgraduate/ postdoctorate-level courses. However, I would advise students to first attempt an introductory-level data assimilation course.
Strengths: The strengths of the book are the theoretical overviews of the data assimilation issues and the well-organized chapters from simple examples to the most advanced topics.
Weaknesses: For atmospheric and oceanic data assimilation systems, the most important issues are background covariance modeling, dynamic balancing, nonlinear observation operators, computation cost, and nonlinearity (non-Gaussianity). I think these topics could be emphasized more in this book, in particular in the later chapters.
Illustrations: The diagrams for different reviews and comparisons are very useful.
Bottom line: This book provides readers with a good mathematical framework for data assimilation, with all important proofs and deviations.
I recommend the book for data assimilation system developers and colleagues who work with data assimilation research and applications.
- XIANG-YU HUANG
[Author Affiliation]
Xiang-Yu Huang is the lead scientist of the WRF variational data assimilation system and the director of the data assimilation testbed center (DATC) at NCAR in Boulder, Colorado.

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