海洋科学のためのモデリング法 Modeling Methods for Marine Science

著者名：Glover, David M./Jenkins, William J./Doney, Scott C.

Cambridge University Press（2011/06/02発売）

• 言語：ENG
• ISBN：9780521867832
• eISBN：9781139139731

Description

This advanced textbook on modeling, data analysis and numerical techniques for marine science has been developed from a course taught by the authors for many years at the Woods Hole Oceanographic Institute. The first part covers statistics: singular value decomposition, error propagation, least squares regression, principal component analysis, time series analysis and objective interpolation. The second part deals with modeling techniques: finite differences, stability analysis and optimization. The third part describes case studies of actual ocean models of ever increasing dimensionality and complexity, starting with zero-dimensional models and finishing with three-dimensional general circulation models. Throughout the book hands-on computational examples are introduced using the MATLAB programming language and the principles of scientific visualization are emphasised. Ideal as a textbook for advanced students of oceanography on courses in data analysis and numerical modeling, the book is also an invaluable resource for a broad range of scientists undertaking modeling in chemical, biological, geological and physical oceanography.

Table of Contents

Preface; 1. Resources, MATLAB primer and introduction to linear algebra; 2. Measurement theory, probability distributions, error propagation and analysis; 3. Least squares and regression techniques, goodness of fit and tests, and non-linear least square techniques; 4. Principal component and factor analysis; 5. Sequence analysis I: uniform series, cross- and auto-correlation, and Fourier transforms; 6. Sequence analysis II: optimal filtering and spectral analysis; 7. Gridding, objective mapping and kriging; 8. Integration of ODEs and 0-D (box) models; 9. A model building tutorial; 10. Model analysis and optimization; 11. Advection-diffusion equations and turbulence; 12. Finite difference techniques; 13. Open ocean 1-D advection-diffusion models; 14. 1-D models in sedimentary systems; 15. Upper ocean 1-D seasonal models; 16. 2-D gyre models; 17. 3-D general circulation models; 18. Inverse methods and assimilation techniques; 19. Scientific visualization; Appendix: hints and tricks; References; Index.