Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Preamble
- 1 Variational assimilation
- 2 Interpretation
- 3 Implementation
- 4 The varieties of linear and nonlinear estimation
- 5 The ocean and the atmosphere
- 6 Ill-posed forecasting problems
- References
- Appendix A Computing exercises
- Appendix B Euler–Lagrange equations for a numerical weather prediction model
- Author index
- Subject index
Appendix A - Computing exercises
Published online by Cambridge University Press: 09 November 2009
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Preamble
- 1 Variational assimilation
- 2 Interpretation
- 3 Implementation
- 4 The varieties of linear and nonlinear estimation
- 5 The ocean and the atmosphere
- 6 Ill-posed forecasting problems
- References
- Appendix A Computing exercises
- Appendix B Euler–Lagrange equations for a numerical weather prediction model
- Author index
- Subject index
Summary
These computational exercises complement the analytical development of variational data assimilation in the text, and also serve to develop the confidence needed for more ambitious calculations. All code for these exercises is available at an anonymous ftp site. The linear, one-dimensional “toy” model of §1.1 is upgraded here to a linear, two-dimensional shallow-water model in both continuous and finite-difference form. Continuous and discrete penalty functionals are developed, and the respective Euler–Langrange equations are derived. Representers are calculated directly, so the generalized inverse may then be calculated directly or indirectly.
- Type
- Chapter
- Information
- Inverse Modeling of the Ocean and Atmosphere , pp. 195 - 211Publisher: Cambridge University PressPrint publication year: 2002