%QQQQ @incollection{quarteroni:1991, Author = "Quarteroni, A.", Title = "An introduction to spectral methods for partial differential equations", Booktitle = "Advances in Numerical Analysis - Vol. 1: Nonlinear Partial Differential Equations and Dynamical Systems", Editor = "Will Light", Publisher = "Clarendon Press, Oxford", Year = "1991", Pages = "96--146", ISBN = "0-19-853438-8", LOC = "QA 297 A38 1991 V.1", Note = " 1. Introduction, 2. The Fourier approximation, 3. Sturm--Liouville problems, 4. The Chebyshev approximation, 5. Elliptic and parabolic boundary value problems, 6. Incompressible Navier--Stokes equations, 7. Domain decomposition methods" } %RRRR @article{ramanathan-callis-etal:1987, Title = "Climate-chemical interactions and effects of changing atmospheric trace gases", Author = "Ramanathan, V. and L. Callis and R. Cess and J. Hansen and I. Isaksen and W. Kuhn and A. Lacis and F. Luther and J. Mahlman and R. Reck and M. Schlesinger", Journal = "Rev. Geophys.", Volume = "25", Year = "1987", Pages = "1441--1482", Annote = "A comprehensive and useful reference with attention paid to the roles of radiative physics, dynamics and chemistry. Discusses direct radiative effects of trace gases on climate and the indirect climate effects of various chemical and dynamical interactions. Outlines factors that influence the long-term trends of tropospheric and stratospheric ozone and methane, and stratospheric H2O, among other important gases [From Handel and Risbey (1992)]." } @article{raymo:1994, Title = "The initiation of Northern Hemisphere glaciation", Author = "Raymo, M. E.", Journal = "Ann. Rev. Earth Planet. Sci.", Volume = "22", Year = "1994", Pages = "353--383", Note = " \begin{enumerate} \item Introduction \item Evidence for Northern Hemisphere glaciation \item Response of global climate to glaciation \begin{enumerate} \item Sea surface temperatures \item Thermohaline circulation \item Antarctic glacial history \item Low latitude climate \end{enumerate} \item Cause of Northern Hemisphere glaciation \begin{enumerate} \item Plate movements \item Sills and gateways \item Topographic changes \item Volcanism \item Atmospheric composition \item Ocean heat transport \end{enumerate} \item Thresholds and feedbacks \end{enumerate}" } @incollection{read:1992a, Author = "Read, P. L.", Title = "Dynamics and instabilities of Ekman and Stewartson layers", Booktitle = "Rotating Fluids in Geophysical and Industrial Applications", Editor = "E. J. Hopfinger", Publisher = "Springer-Verlag", Year = "1992", Pages = "49--84", Note = " 1. Introduction, 2. Dynamics of the Ekman layer, 2.1 Scale analysis of the laminar Ekman layer, 2.2 The laminar Ekman layer, 2.3 Ekman transports and vertical motion, 2.4 Ekman layer formation and spin-up, 2.5 The `atmospheric Ekman layer', 2.6 Ekman layers on a free surface, 2.7 Ekman layers on inclined surfaces, 3. Dynamics of the Stewartson layer, 3.1 Scale analysis for the laminar Stewartson layer, 3.2 The E$^{1/3}}$ layer, 3.3 The E*^{1/4}}$ layer, 4. The modifying role of stable stratification, 5. Boundary layer instabilities, 5.1 Ekman layer instabilities: Laboratory experiments, 5.2 Ekman layer instabilities: Theory, 5.3 Applications to the planetary boundary layer, 5.4 Stewartson layer instability: Experiments, 5.5 Stewartson layer instability: Theory" } Reid, Joseph L., "On the mid-depth circulation of the world ocean," In _Evolution of Physical Oceanography_, Bruce A. Warren, Carl Wunsch, eds., MIT, 1981, pp. 70-111. 1. Introduction 2. The circulation of the upper waters and their contribution to the mid-depths 3. The use of geostrophy 4. The mid-depth circulation of the Atlantic Ocean from core analysis and vertical geostrophic shear 5. Studies of total transport and layers 6. Mid-depth studies using ispycnal analysis 7. Comparison of relative geostrophic flow at mid-depth with numerical models of transport a. The density field b. Numerical models c. The diagnostic models d. Other approaches 8. Mid-depth patterns in the world ocean a. Distributions on an isopycnal surface b. The steric height at 2000 db relative to 3500 db 9. Comparison of maps of shear field and characteristics a. Flow across the equator b. Atlantic Ocean c. Indian Ocean d. Pacific Ocean e. Antarctic Ocean f. Westward flow in the deep anticyclonic gyres 10. Conclusion @incollection{reid:1990, Author = "Reid, Robert O.", Title = "Tides and storm surges", Booktitle = "Handbook of Coastal and Ocean Engineering - Volume 1: Wave Phenomena and Coastal Structures", Editor = "John B. Herbich", Publisher = "Gulf Publishing Co., Houston", Year = "1990", Pages = "533--590", Note = " 1. Introduction, 2. Water level references and measurements, 3. Some characteristics of tidal forcing, 4. Tides of the real ocean, 5. Non-tidal water level variations, 6. Governing equations for tides, surges, and circulation, 7. Parameterization of stress terms, 8. Tide potential, 9. Tide potential, 10. Natural modes of oscillation, 11. Numerical models of tides and surges, 12. Practical tide prediction, 13. Practical guidelines for storm surges, 14. Statistical aspects of water level extremes, 15. Vertical structure of currents" } Reinhardt, William P., "Classical chaos, the geometry of phase space, and semiclassical quantization," In _Mathematical Analysis of Physical Systems_, Ronald E. Mickins, ed, Von Nostrand Reinhold, N.Y., 1985, pp. 169-245. 1. Introduction and phenomenology a. Introduction and scope b. Regular and chaotic classical dynamics c. Integrability and quantization on tori d. Orbit based pictures of the origins of chaos e. Local exponentiation of trajectories f. Chaos through bifurcations and period multiplication g. Analytic properties of trajectories: Painleve analysis 2. Expectations: classical chaos and the correspondence principle a. The irregular spectrum b. Statistics of nearest-neighbor level spacings c. Numerical experiments d. Discussion and critique 3. Chaos and the fragmentation of tori a. Qualitative arguments b. The Birkhoff-Gustavson normal form: semiclassical quantization c. Convergence of the Birkhoff-Gustavson expansion 4. Semiclassical quantization on fragmented tori a. Rational billiards and semiclassical quantization b. Crossings and avoided crossings c. The irregular spectrum revisited 5. Summary Reynolds, W. C., "The potential and limitations of direct and large-eddy simulations," In _Whither Turbulence_, J. L. Lumley, ed., Springer-Verlag, N.Y., 1990, pp. 313-342. @incollection{rheinbolt:1991, Author = "Rheinbolt, Werner C.", Title = "The theory and numerics of differential--algebraic equations", Booktitle = "Advances in Numerical Analysis - Vol. 1: Nonlinear Partial Differential Equations and Dynamical Systems", Editor = "Will Light", Publisher = "Clarendon Press, Oxford", Year = "1991", Pages = "237--275", ISBN = "0-19-853438-8", LOC = "QA 297 A38 1991 V.1", Note = " 1. Preface, 2. Model problems, 3. DAEs and dynamical processes, 4. Existence theory for implicit DAEs, 5. DAEs with higher index, 6. Numerical methods for DAEs, 7. Appendix" } Rhines, Peter B., "The dynamics of unsteady currents," In _The Sea. Vol. 6: Marine Modeling_, E.D. Goldberg, et al., eds., John Wiley and Sons, 1977, pp. 189-318. 1. Summary 2. Historical introduction 3. Kinematics of eddy fields 4. Dynanmics of the gentlest kind 5. Linear potential-vorticity waves 6. Nonlinear waves and turbulence: primary cascades 7. Basins and bottom topography 8. Mean-flow interaction 9. Observational notes Rhines, Peter B., "Geostrophic turbulence," Ann. Rev. Fluid Mech., Vol. 11, 1979, pp. 401-441. 1. Introduction and equations 2. Two-dimensional turbulence 3. Wave propagation and turbulence 4. Stratified geostrophic turbulence 5. Turbulence above topography 6. Mean-flow induction 7. Conclusion Rhines, Peter B., and William R. Holland, "A theoretical discussion of eddy-driven mean flows," Dynamics of Atmosph. and Oceans, Vol. 3, 1979, pp. 289-325. 1. Introduction and discussion of the general circulation 2. Derivation 3. Four examples i. Zonal-flow induction in a barotropic beta-plane channel ii. Mean motions induced by a Rossy-wave packet iii. Zonal acceleration induced by instability of a zonal current iv. Abyssal circulation of a wind-driven ocean 4. Conclusion Rhines, Peter B., "Lectures in geophysical fluid dynamics," Lectures in Applied Mathematics, Vol. 20: Fluid Dynamics in Astrophysics and Geophysics, 1983, pp. 3-58. 1. Introduction 2. Derivation of equations 3. Fundamental solutions 4. Cascades 5. Geostrophic turbulence Rhines, Peter B., "Lectures on ocean circulation dynamics," In _Large-Scale Transport Processes in Oceans and Atmosphere_, J. Willebrad, D.L.T. Anderson, eds., D. Reidel, Boston, 1986, pp. 105-161. 1. Vortex stretching and potential vorticity 2. Significance of the transport of potential vorticity by eddies 3. Relation with the dispersal and orbital motion of fluid particles 4. Wind-driven gyres Rhines, Peter B., "Vorticity dynamics of the oceanic general circulation," Ann. Rev. Fluid Mech., Vol. 18, 1986, pp. 433-497. 1. Introduction 2. Planetary fluid dynamics: free horizons, free paths 3. Analytical models 4. Numerical models 5. Observations 6. Conclusion Rhines, Peter B., "Mixing and large-scale ocean dynamics," In _Small-Scale Turbulence and Mixing in the Ocean_, J. Nihoul, B. Jamart, eds., Elsevier, N.Y., 1988, pp. 263-284. 1. The dynamical consequences of mixing 2. Small-scale dynamics 3. Large-scale circulations 4. Conclusion @article{rioul-vetterli:1991, Author: "Rioul, Olivier, and Martin Vetterli" Title: "Wavelets and signal processing" Journal: "IEEE Signal Processing Magazine" Vol: "?????" Year: "1991 (Oct.)" Pages: "14--38", Note = " 1. Non-stationary signal analysis, 2. Scale versus frequency, a. The short--time Fourier transform: analysis with fixed resolution, b. The continuous wavelet transform: a multiresolution analysis, 3. Wavelet analysis and synthesis, 4. Scalograms, 5. Wavelet frames and orthonormal bases, a. Discretization of time--scale parameters, b. Wavelet frames, c. Introduction to orthogonal wavelet bases, 6. The discrete time case, a. The multiresolution pyramid, b. Subband coding schemes, c. The discrete wavelet transform, d. Iterated filters and regularity, e. Scaling functions and wavelets obtained from iterated filters, 7. Applications of wavelets in signal processing, 8. Conclusion" } @incollection{robert:1979, Author = "Robert, Andr\'e", Title = "The semi--implicit method", Booktitle = "Numerical Methods Used in Atmospheric Models, Vol. II", Publisher = "World Meteor. Org.", Number = "GARP Pub. Series No. 17", Year = "1979", Pages = "419--439", Note = " 1. Introduction, 2. Accuracy of explicit techniques, 3. Implicit schemes, 4. Semi--implicit algorithms, 5. Applications and results, 6. Conclusion" } @article{robinson.a:1970, Author = "Robinson, A. R.", Title = "Boundary layers in ocean circulation models", Journal = "ARFM", Volume = "2", Year = "1970", Pages = "293--312" } @article{robinson.e:1982, Author = "Robinson, Enders A.", Title = "A historical perspective of spectrum estimation", Journal = "Proc. IEEE", Volume = "70", Year = "1982", Pages = "885--907", Note = " \begin{enumerate} \item Introduction \item Taylor series \item The Daniel Bernoulli solution of the wave equation \item Jean Baptiste de Fourier and the sinusoidal spectral theory \item The Sturm-Liouville spectral theory of differential equations \item Schroedinger spectral theory of the atom \item The von Neumann spectral representation theorem \item Einstein-Wiener theory of Brownian motion \item Yule autoregressive spectrum estimation method \item Wiener's generalized harmonic analysis \item Reconciliation of the two spectral theories \item Wiener-Levinson prediction theory \item Tukey empirical spectral analysis \item The Cooley-Tukey fast Fourier transform \item Burg maximum entropy spectral analysis \item Statistical theory of spectral estimation \item Engineering use of spectral estimation \end{enumerate}" } @article{rood:1987, Author = "Rood, Richard B.", Title = "Numerical advection algorithms and their role in atmospheric transport and chemistry models", Journal = "Rev. Geophys.", Volume = "25", Year = "1987", Pages = "71--100", Note = " \begin{enumerate} \item Introduction \item Modeling advection \begin{enumerate} \item Advection equation and mixing ratio \item Flux form and advective form \item Errors: diffusion, dispersion and monotonicity \item Lagrangian and Eulerian methods \end{enumerate} \item Numerical models \begin{enumerate} \item Classic schemes \item Transport schemes \end{enumerate} \item Comparison of transport schemes \item Discussion and special problems \begin{enumerate} \item Conservation of mass and boundary conditions \item Dispersion, atmospheric "shocks," and locality \item Diffusion \item Multidimensions, deformational velocities, and spherical coordinates \item Numerics of combined chemistry and transport \end{enumerate} \item Summary \end{enumerate}" } @article{rooth:1982, Title = "Hydrology and ocean circulation", Author = "Rooth, Claes", Journal = "Prog. Oceanog.", Volume = "11", Year = "1982", Pages = "131--149", Note = " \begin{enumerate} \item Introduction \item Some general considerations regarding thermohaline forcing \item Some idealized thermohaline model systems \begin{enumerate} \item A Labrador Sea analog \item A global meridional circulation analog \end{enumerate} \item Implication for climate variability \item Conclusions \end{enumerate}" } Rose, H. A., and P. L. Sulem, "Fully developed turbulence and statistical mechanics," Le Journal de Physique, Vol. 39, 1978, pp. 441-484. 1. Introduction 2. Fundamental concepts a. Inhomogeneous turbulence and the eddy viscosity b. Homogeneous isotropic turbulence and the dynamics of the fluctuations c. Vorticity dynamics and energy transfer in three dimensions d. The special case of two-dimensional turbulence e. Detailed conservation properties of the Euler equation 3. Relationship to equilibrium statistical mechanics a. Energy transfer and the lack of a fluctuation-dissipation theorem in turbulence b. Absolute equilibrium model in three dimensions c. Absolute equilibrium in two dimensions 4. Phenomenology following Kolmogorov 1941 (K41) a. K41 phenomenology for three-dimensional turbulence b. Extension of K41 phenomenology to two dimensions 5. Rigorous results for the time-dependent Euler and Navier-Stokes equations a. Phenomenology and mathematics b. Regularity of ideal flows c. Regularity of viscous three-dimensional flows 6. Spectral equations a. The spectral equations as semi-heuristic closures b. Results in three dimensions c. Results in two dimensions d. d-dimensional turbulence (2