Arthur J. Mariano

Multivariate-Spline and Scale-Specific Solution for Variational Analyses

A recipe for a cubic B-spline-based solution for multivariate variational formulation of a data analysis and assimilation problem is provided. To represent a signal whose smallest wavelength is L, the spline scale must be at most L/2, or approximately the Nyquist wavelength. This spline scale defines the computational grid, which tends to be coarser than the typical grid required for finite-difference discretization and hence offers a significant advantage in computational efficiency. The geostrophy‐thin-plate model is introduced and applied to a set of analysis problems to demonstrate the effectiveness of the solution technique.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: Plate section

Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. In recent years a large number of floating and drifting research buoys have been deployed in the global oceans to study the state of the ocean and its variation in terms of water mass properties, circulation and heat transport. Lagrangian techniques are required to analyze the data from these buoys. This multidisciplinary text contains observations, theory, numerical simulations, and analysis techniques. It presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes chapters on floats and drifters, Lagrangianbased analysis methods and models in marine biology, the statistics of particle trajectories in the ocean, numerical simulations and their relationship with classical turbulence results, and nonlinear Lagrangian-based theory for studying ocean transport and particle trajectories. The book contains historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: Frontmatter

Preface 1. Evolution of Lagrangian methods in oceanography T. Rossby 2. Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results R. Lumpkin and M. Pazos 3. Favourite trajectories A. S. Bower, H. Furey, S. Grodsky, J. Carton, L. R. Centurioni, P. P. Niiler, Y. Kim, D.-K. Lee, V.A. Sheremet, N. Garfield, C. A. Collins, T. A. Rago, R. Paquette, V. Kourafalou, E. Williams, T. Lee, M. Lankhorst, W. Zenk, A. J. Mariano, E. H. Ryan, P.-N. Poulain, H. Valdimarsson and S.-A. Malmberg 4. Particle motion in a sea of eddies C. Pasquero, A. Bracco, A. Provenzale and J. B. Weiss 5. Inertial particle dynamics on the rotating Earth N. Paldor 6. Predictability of Lagrangian motion in the upper ocean L. I. Piterbarg, T. M. Ozgokmen, A. Griffa and A. J. Mariano 7. Lagrangian data assimilation in ocean general circulation models A. Molcard, T. M. Ozgokmen, A. Griffa, L. I. Piterbarg and T. M. Chin 8. Dynamic consistency and Lagrangian data in oceanography: mapping, assimilation and optimization schemes T. M. Chin, K. Ide, C. K. R. T. Jones, L. Kuznetsov and A. J. Mariano 9. Observing turbulence regimes and Lagrangian dispersal properties in the ocean V. Rupolo 10. Lagrangian biophysical dynamics D. B. Olson 11. Plankton: Lagrangian inhabitants of the sea G. L. Hitchcock and R. K. Cowen 12. A Lagrangian stochastic model for the dynamics of a stage structured population. Application to a copepod population G. Buffoni, M. G. Mazzocchi and S. Pasquali 13. Lagrangian analysis and prediction of coastal and ocean dynamics (LAPCOD) A. J. Mariano and E. H. Ryan.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: Index

Preface 1. Evolution of Lagrangian methods in oceanography T. Rossby 2. Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results R. Lumpkin and M. Pazos 3. Favourite trajectories A. S. Bower, H. Furey, S. Grodsky, J. Carton, L. R. Centurioni, P. P. Niiler, Y. Kim, D.-K. Lee, V.A. Sheremet, N. Garfield, C. A. Collins, T. A. Rago, R. Paquette, V. Kourafalou, E. Williams, T. Lee, M. Lankhorst, W. Zenk, A. J. Mariano, E. H. Ryan, P.-N. Poulain, H. Valdimarsson and S.-A. Malmberg 4. Particle motion in a sea of eddies C. Pasquero, A. Bracco, A. Provenzale and J. B. Weiss 5. Inertial particle dynamics on the rotating Earth N. Paldor 6. Predictability of Lagrangian motion in the upper ocean L. I. Piterbarg, T. M. Ozgokmen, A. Griffa and A. J. Mariano 7. Lagrangian data assimilation in ocean general circulation models A. Molcard, T. M. Ozgokmen, A. Griffa, L. I. Piterbarg and T. M. Chin 8. Dynamic consistency and Lagrangian data in oceanography: mapping, assimilation and optimization schemes T. M. Chin, K. Ide, C. K. R. T. Jones, L. Kuznetsov and A. J. Mariano 9. Observing turbulence regimes and Lagrangian dispersal properties in the ocean V. Rupolo 10. Lagrangian biophysical dynamics D. B. Olson 11. Plankton: Lagrangian inhabitants of the sea G. L. Hitchcock and R. K. Cowen 12. A Lagrangian stochastic model for the dynamics of a stage structured population. Application to a copepod population G. Buffoni, M. G. Mazzocchi and S. Pasquali 13. Lagrangian analysis and prediction of coastal and ocean dynamics (LAPCOD) A. J. Mariano and E. H. Ryan.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: List of contributors

Preface 1. Evolution of Lagrangian methods in oceanography T. Rossby 2. Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results R. Lumpkin and M. Pazos 3. Favourite trajectories A. S. Bower, H. Furey, S. Grodsky, J. Carton, L. R. Centurioni, P. P. Niiler, Y. Kim, D.-K. Lee, V.A. Sheremet, N. Garfield, C. A. Collins, T. A. Rago, R. Paquette, V. Kourafalou, E. Williams, T. Lee, M. Lankhorst, W. Zenk, A. J. Mariano, E. H. Ryan, P.-N. Poulain, H. Valdimarsson and S.-A. Malmberg 4. Particle motion in a sea of eddies C. Pasquero, A. Bracco, A. Provenzale and J. B. Weiss 5. Inertial particle dynamics on the rotating Earth N. Paldor 6. Predictability of Lagrangian motion in the upper ocean L. I. Piterbarg, T. M. Ozgokmen, A. Griffa and A. J. Mariano 7. Lagrangian data assimilation in ocean general circulation models A. Molcard, T. M. Ozgokmen, A. Griffa, L. I. Piterbarg and T. M. Chin 8. Dynamic consistency and Lagrangian data in oceanography: mapping, assimilation and optimization schemes T. M. Chin, K. Ide, C. K. R. T. Jones, L. Kuznetsov and A. J. Mariano 9. Observing turbulence regimes and Lagrangian dispersal properties in the ocean V. Rupolo 10. Lagrangian biophysical dynamics D. B. Olson 11. Plankton: Lagrangian inhabitants of the sea G. L. Hitchcock and R. K. Cowen 12. A Lagrangian stochastic model for the dynamics of a stage structured population. Application to a copepod population G. Buffoni, M. G. Mazzocchi and S. Pasquali 13. Lagrangian analysis and prediction of coastal and ocean dynamics (LAPCOD) A. J. Mariano and E. H. Ryan.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: Contents

Preface 1. Evolution of Lagrangian methods in oceanography T. Rossby 2. Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results R. Lumpkin and M. Pazos 3. Favourite trajectories A. S. Bower, H. Furey, S. Grodsky, J. Carton, L. R. Centurioni, P. P. Niiler, Y. Kim, D.-K. Lee, V.A. Sheremet, N. Garfield, C. A. Collins, T. A. Rago, R. Paquette, V. Kourafalou, E. Williams, T. Lee, M. Lankhorst, W. Zenk, A. J. Mariano, E. H. Ryan, P.-N. Poulain, H. Valdimarsson and S.-A. Malmberg 4. Particle motion in a sea of eddies C. Pasquero, A. Bracco, A. Provenzale and J. B. Weiss 5. Inertial particle dynamics on the rotating Earth N. Paldor 6. Predictability of Lagrangian motion in the upper ocean L. I. Piterbarg, T. M. Ozgokmen, A. Griffa and A. J. Mariano 7. Lagrangian data assimilation in ocean general circulation models A. Molcard, T. M. Ozgokmen, A. Griffa, L. I. Piterbarg and T. M. Chin 8. Dynamic consistency and Lagrangian data in oceanography: mapping, assimilation and optimization schemes T. M. Chin, K. Ide, C. K. R. T. Jones, L. Kuznetsov and A. J. Mariano 9. Observing turbulence regimes and Lagrangian dispersal properties in the ocean V. Rupolo 10. Lagrangian biophysical dynamics D. B. Olson 11. Plankton: Lagrangian inhabitants of the sea G. L. Hitchcock and R. K. Cowen 12. A Lagrangian stochastic model for the dynamics of a stage structured population. Application to a copepod population G. Buffoni, M. G. Mazzocchi and S. Pasquali 13. Lagrangian analysis and prediction of coastal and ocean dynamics (LAPCOD) A. J. Mariano and E. H. Ryan.