Stochastic Modelling in Physical Oceanography

1. Front Matter

   Pages i-xi

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2. Particle Displacements in Inhomogeneous Turbulence

   • Andrew F. Bennett

   Pages 1-45

3. Massively Parallel Simulations of Motions in a Gaussian Velocity Field

   • René A. Carmona, Stanislav A. Grishin, Stanislav A. Molchanov

   Pages 47-68

4. Comparison tests for the spectra of dependent multivariate time series

   • René A. Carmona, Andrea Wang

   Pages 69-88

5. A statistical approach to ocean model testing and tuning

   • Claude Frankignoul

   Pages 89-112

6. Applications of stochastic particle models to oceanographic problems

   • Annalisa Griffa

   Pages 113-140

7. Sound through the internal wave field

   • Frank S. Henyey, Charles Macaskill

   Pages 141-184

8. Stochastic modeling of turbulent flows

   • J. R. Herring

   Pages 185-205

9. Neptune effect: statistical mechanical forcing of ocean circulation

   • Greg Holloway

   Pages 207-219

10. Short-Time Correlation Approximations for Diffusing Tracers in Random Velocity Fields: A Functional Approach

    • V. I. Klyatskin, W. A. Woyczynski, D. Gurarie

    Pages 221-269

11. Particles, vortex dynamics and stochastic partial differential equations

    • Peter Kotelenez

    Pages 271-294

12. Nongaussian autoregressive sequences and random fields

    • Keh-Shin Lii, Murray Rosenblatt

    Pages 295-309

13. Feature and contour based data analysis and assimilation in physical oceanography

    • Arthur J. Mariano, Toshio M. Chin

    Pages 311-342

14. Topics in Statistical Oceanography

    • S. Molchanov

    Pages 343-380

15. Stochastic forcing of quasi-geostrophic eddies

    • Peter Müller

    Pages 381-395

16. Maximum likelihood estimators in the equations of physical oceanography

    • L. Piterbarg, B. Rozovskii

    Pages 397-421

17. Chaotic transport by mesoscale motions

    • R. M. Samelson

    Pages 423-438

18. Chaotic Transport and Mixing by Ocean Gyre Circulation

    • Huijun Yang

    Pages 439-466

19. Back Matter

    Pages 467-469

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The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini­ tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re­ liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.

• Ocean
• Oceanography
• Tide
• calculus
• equation
• function
• mixing

• Faculty of Industrial Engineering and Management, Technion University, Haifa, Israel

  Robert J. Adler

• Department of Oceanography, University of Hawaii, Honolulu, USA

  Peter Müller

• Center for Applied Mathematical Sciences, University of Southern California, Los Angeles, USA

  Boris L. Rozovskii

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