Syllabus

Lecture Notes of Dr. Carr

Topics covered by Dr. Xue
(NOTES WILL BE UPDATED DURING THE LECTURE PERIOD)

• Introduction. Basic Concepts and Mathematical Tools
• Additional materials on matrix algebra
• Appendices from Book "Dynamic Data Assimilation"
  
  
• Optimal Interpolation (OI)  Part I (updated Nov. 1)    Part II

ECMWF Lecture Notes on Data Assimilation
Lorenc, A. C., 1986: Quart. J. Roy. Meteor. Soc.
Ide et al (1997) on Unified Notations for Data Assimilation.

Homework assignment No. 4 and No. 5. The ANALAB package to be used is here. Updated package analab1.tar.gz for excercise 5 of Part II.

• Three-Dimensional Variational Analysis and Data Assimilation (3DVAR)

Huang (2000) MWR paper on various 3D analysis methods and corresponding analysis package. Download the package, examine the source code and run the analysis experiments with included data. Plotting program is also included. A user documentation file, analab_docs.pdf is found in the package.

3DVAR Assimilation of GPS Data

• Liu and Xue (2006)  and Liu et al (2006) on the use of anisotropic filter to model flow-dependent B.
• Paper Outline  of Liu and Xue (2006) and Earlier Conference Presentation.
• Gao et al (1999) 3DVAR analysis for dual Doppler radar and Hu et al. (2006) that examines the behavior of divergence constraint when analyzing wind from radial velocity data (section 2c).

Knowledge Expections for Exam Exam 2

Dr. Jidong Gao's presentations: Lecture 1 and Lecture 2.

• Four-dimensional Data Assimilation

  Recipes for Adjoint Code Construction (Giering and Kaminski 1998).
  Errico, R. M., 1997: What is an adjoint model? BAMS

• Kalman Filters
  
  • Lecture Notes
  • Hamill Tutorial on Ensemble Data Assimilation
    
    
  • Tong and Xue EnKF Workshop presentation on radar data assimilation with EnKF and MWR paper
  • Evansen (1994) - The original EnKF paper
  • Hamill (2000) NWP Conference paper on EnKF
  • Evensen (2003) Review Article
  • Whitaker and Hamil (2002 MWR) on EnKF without obs perturbations - EnSRF.
  • Hamill et al (MWR 2001) on filtering of background error covariance
  • Tippett et al (MWR 2003) on EnSRFs.
    
    
• Special Topics
  • A History of Data Assimilation (Lorenc, 2004)
  • 4DVAR v.s. Ensemble Kalman Filter (Lorenc, 2004)
  
  
• Knowledge expectation for exam 3.