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基本説明
Textbook on modeling, data analysis and numerical techniques for advanced students of oceanography.
Full 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.
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.
