%IIII @article{ibragimov:1992, Author = "Ibragimov, N. Kh.", Title = "Group analysis of ordinary differential equations and the invariance principle in mathematical physics", Journal = "Russian Math. Surveys", Volume = "47", Year = "1992", Pages = "89--156", Note = " 1. Definitions and elementary applications, 1.1 One-parameter transformation groups, 1.2 Prolongation formulae, 1.3 Groups admissible by differential equations, 1.4 Integration and reduction of order using one-parameter groups, 1.5 Defining equations, 1.6 Lie algebras, 1.7 Contact transformations, 2. Integration of second-order equations admitting a two-dimensional algebra, 2.1 Consecutive reduction of order, 2.2 The method of canonical variables, 3. Group theoretical classification of second-order equations, 3.1 Equations admitting a three-dimensional algebra, 3.2 The general classification result, 3.3 Two remarkable classes of equations, 4. ODEs with a fundamental system of solutions, 4.1 The main theorem, 4.2 Examples, 4.3 Projective interpretations of the Riccati equation, 4.4 Linearizable Riccati equations, 5. The invariance principle in problems of mathematical phyics, 5.1 Spherical functions, 5.2 A group-theoretical touch to Riemann's method, 5.3 Symmetry of fundamental solutions, or the first steps in group analysis in the space of distributions, 6. Summary of results" } @article{ierley:1990, Author = "Ierley, Glenn R.", Title = "Boundary layers in the general ocean circulation", Journal = "ARFM", Volume = "22", Year = "1990", Pages = "111--142", TOC = " 1. Introduction, 2. Observational basis for boundary currents, 3. Analytic theories and numerical model results" } @article{imberger-patterson:1990, Author = "Imberger, J{\'o}rg and John C. Patterson", Title = "Physical limnology", Journal = "Adv. in Appl. Mech.", Volume = "27", Year = "1990", Pages = "303--475", TOC = " I. Introduction, II. Seasonal behavior, III. Surface fluxes, IV. The surface layer, V. Upwelling, VI. Differential deepening, VII. Differential heating and cooling, VIII. Outflow, IX. Inflow, X. Mixing below the surface layer, XI. Modeling, XII. Reservoir destratification by bubble aerators, XIII. Summary" } @techreport{ingber:1993, Author = "Ingber, Lester", Title = "Simulated annealing: Practice versus theory", Organization = "Lester Ingber Research, P.O. Box 857, McLean, VA 22101", Year = "1993", Pages = "50", URL = "ftp://punisher.cco.caltech.edu:pub/ingber/sa_pvt93.ps.Z", TOC = " 1. Introduction, 1.1 Shades of simulated annealing, 1.2 Critics of SA, 2. "Standard" simulated annealing (SA), 2.1 Boltzmann annealing (BA), 3. Simulated quenching (SQ), 3.1 Genetic algorithms (GA), 3.2 Some problems with SQ, 4. Sampling of SA/SQ applications, 4.1 Traveling salesman problem (TSP), 4.2 Circuit design, 4.3 Mathematics/combinatorics, 4.4 Data analysis, 4.5 Imaging, 4.6 Neural networks, 4.7 Biology, 4.8 Physics, 4.9 Geophysics, 4.10 Finance, 4.11 Military, 5. Modifications/improvements on SA, 5.1 SQ modifications, 5.2 Ergodic SA improvements, 6. Adaptive simulated annealing, 6.1 Reannealing, 6.2 Self-optimization, 6.3 ASA applications, 6.4 ASA annealing versus quenching, 7. Conclusion" } %JJJJ @article{jawerth-sweldens:1994, Author = "Jawerth, Bjorn and Wim Sweldens", Title = "An overview of wavelet based multiresolution analyses", Journal = "SIAM Review", Volume = "36", Year = "1994", Pages = "377--412", Note = " \begin{enumerate} \item Introduction \item Notation \item A short history of wavelets \item The continuous wavelet transform \item Multiresolution analysis \begin{enumerate} \item The scaling function and the subspaces \item The wavelet function and the detail spaces \end{enumerate} \item Orthogonal wavelets \item Biorthogonal wavelets \item Wavelets and polynomials \item The fast wavelet transform \item Examples of wavelets \item Wavelets on an interval \begin{enumerate} \item Simple solutions \item Meyer's boundary wavelets \item Dyadic boundary wavelets \end{enumerate} \item Wavelet packets \item Multidimensional wavelets \item Applications \begin{enumerate} \item Data compression \item Operator analysis \end{enumerate} \end{enumerate}" } @incollection{jensen:1990, Author = "Jensen, F. B.", Title = "Ocean seismo-acoustic modeling: Numerical methods", Booktitle = "Oceanographic and Geophysical Tomography", Series = "Les Houches {\'E}cole D'{\'E}t{\'e} de Physique Th{\'e}orique, Session L, NATO Advanced Study Institute", Publisher = "North-Holland", Year = "1990", Pages = "313--344", Note = " \begin{enumerate} \item Introduction \item The ocean waveguide \item Classification of wave-theory models \item Time-harmonic solutions of separable problems \begin{enumerate} \item Fourier integral \item Normal modes \end{enumerate} \item Time-harmonic solutions of non-separable problems \begin{enumerate} \item Coupled modes \item Parabolic equation \end{enumerate} \item Pulse solutions by Fourier synthesis \item Numerical results \begin{enumerate} \item Time-harmonic modeling of acoustic data \item Pulse modeling of interface-wave data \end{enumerate} \item Summary and conclusions \end{enumerate}" } Johnson, J. A., "Inhomogeneous fluids in rotation: topics in oceanography," In _Rotating Fluids in Geophysics_, P. H. Roberts, A. M. Sowards, eds., Academic Press, N.Y., 1978, pp. 205-238. 1. Introduction 2. Coastal upwelling 3. Unsteady and stratified coastal upwelling 4. Southern Ocean circulation Jonsson, Ivar G., "Wave-current interactions," In _The Sea, Vol. 9, Part A: Ocean Engineering Science_, John Wiley & Sons, N.Y., 1990, pp. 65-120. 1. Introduction a. General b. Examples of wave-current interaction c. Basic concepts 2. Types of current 3. The kinematics a. General b. Waves in a homogeneous current field c. Consistency relations 4. The dynamics a. General b. The second-order theory for wave on a current c. Set-down and mean energy level d. Mass, momentum, and energy conservation e. Wave action conservation f. The extended energy line principle 5. Refraction with currents a. General b. Pure current refraction c. Straight coastline d. The complete refraction equations e. Caustics and focusing f. Nonlinear effects 6. Currents varying with depth a. General b. The kinematics c. The dynamics 7. Transformation of wave spectra a. General b. Unidirectional waves and currents c. Three-dimensional waves and currents 8. State-of-the-art for wave-current interactions @incollection{joseph:1981, Author = "Joseph, D. D.", Title = "Hydrodynamic stability and bifurcation", Booktitle = "Hydrodynamic Instabilities and the Transition to Turbulence", Editor = "H. L. Swinney and J. P. Gollub", Publisher = "Springer-Verlag", Year = "1981", Pages = "27--76", Note = " 1. The Navier-Stokes equations and the prescribed data, 2. Uniqueness and stability of solutions when the Reynolds number is small, 3. Instability and transition into turbulence, 4. Examples of hydrodynamic stability and bifurcation, 5. A simplified mathematical discussion of some general properties of stability and bifurcation, 6. Isolated solutions which perturb bifurcation, 7. Bifurcation of steady flow into time-periodic flow, 8. Finite dimensional projections, 9. Bifurcation, stability, and transition in Poiseuille and Couette flows, 10. Bibliographical notes and comments on methods of analysis" } @article{jung:1993, Author = "Jung, Peter", Title = "Periodically driven stochastic systems", Journal = "Physics Reports", Volume = "234", Year = "1993", Pages = "175--295", Keyword = "statistics, stochastic systems", TOC = " 1. Introduction, 2. Basic concepts, 3. Concepts for periodically driven stochastic processes, 4. Periodically driven Ornstein-Uhlenbeck processes, 5. Escape rates and mean first passage times, 6. The double well system, 7. Stochastic resonance, 8. Activation in periodically driven multistable systems" }