Data Assimilation For The Geosciences: From Theory To Application

Paperback | March 23, 2017

bySteven James Fletcher

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Data Assimilation for the Geosciences: From Theory to Application brings together all of the mathematical,statistical, and probability background knowledge needed to formulate data assimilation systems in one place. It includes practical exercises for understanding theoretical formulation and presents some aspects of coding the theory with a toy problem. The book also demonstrates how data assimilation systems are implemented in larger scale fluid dynamical problems related to the atmosphere, oceans, as well as the land surface and other geophysical situations. It offers a comprehensive presentation of the subject, from basic principles to advanced methods, such as Particle Filters and Markov-Chain Monte-Carlo methods. Additionally, Data Assimilation for the Geosciences: From Theory to Application covers the applications of data assimilation techniques in various disciplines of the geosciences, making the book useful to students, teachers, and research scientists. Includes practical exercises, enabling readers to apply concepts in a theoretical formulation Offers explanations for how to code certain parts of the theory Presents a step-by-step guide on how, and why, data assimilation works and can be used

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From the Publisher

Data Assimilation for the Geosciences: From Theory to Application brings together all of the mathematical,statistical, and probability background knowledge needed to formulate data assimilation systems in one place. It includes practical exercises for understanding theoretical formulation and presents some aspects of coding the theory ...

Dr. Fletcher obtained his Bachelor's degree with honors in Mathematics and Statistics from the University of Reading in 1995. He obtained his Master's degree in Numerical Solutions to Differential Equations from the University of Reading in 1999. He obtained his Ph.D. in Mathematics/Data Assimilation in 2004, again from the University ...
Format:PaperbackDimensions:976 pages, 8.75 × 6.35 × 0.68 inPublished:March 23, 2017Publisher:Elsevier Science & TechLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128044446

ISBN - 13:9780128044445

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Table of Contents

1. Introduction

2. Overview of Linear Algebra

3. Univariate Distribution Theory

4. Multivariate Distribution Theory

5. Introduction to Calculus of Variation

6. Introduction to Control Theory

7. Optimal Control Theory

8. Numerical Solutions to Initial Value Problems

9. Numerical Solutions to Boundary Value Problems

10. Introduction to Semi-Lagrangian Advection Methods

11. Introduction to Finite Element Modeling

12. Numerical Modeling on the Sphere

13. Tangent Linear Modeling and Adjoints

14. Observations

15. Nonvariational Sequential Data Assimilation Methods

16. Variational Data Assimilation

17. Subcomponents of Variational Data Assimilation

18. Observation Space Variational Data Assimilation Methods

19. Kalman Filter and Smoother

20. Ensemble-Based Data Assimilation

21. Non-Gaussian Variational Data Assimilation

22. Markov Chain Monte Carlo and Particle Filter Methods

23. Applications of Data Assimilation in the Geosciences

24. Solutions to Select Exercises