ALBERT

Note: Contents Preface Symbols Chapter 1 Introduction 1.1 Scope of Micrometeorology 1.2 Micrometeorology versus Microclimatology 1.3 Importance and Applications of Micrometeorology Problems and Exercises Chapter 2 Energy Budget near the Surface 2.1 Energy Fluxes at an Ideal Surface 2.2 Energy Balance Equations 2.3 Some Examples of Energy Budget 2.4 Applications Problems and Exercises Chapter 3 Radiation Balance near the Surface 3.1 Radiation Laws and Definitions 3.2 Shortwave Radiation 3.3 Longwave Radiation 3.4 Radiation Balance near the Surface 3.5 Radiative Flux Divergence 3.6 Applications Problems and Exercises Chapter 4 Soil Temperatures and Heat Transfer 4.1 Surface Temperature 4.2 Subsurface Temperatures 4.3 Thermal Properties of Soils 4.4 Theory of Soil Heat Transfer 4.5 Applications Problems and Exercises Chapter 5 Air Temperature and Humidity in the PBL 5.1 Factors Influencing Air Temperature and Humidity 5.2 Basic Thermodynamic Relations and Definitions 5.3 Static Stability 5.4 Mixed Layers and Inversions 5.5 Vertical Temperature and Humidity Profiles 5.6 Diurnal Variations 5.7 Applications Problems and Exercises Chapter 6 Wind Distribution in the PBL 6.1 Factors Influencing Wind Distribution 6.2 Geostrophic and Thermal Winds 6.3 The Effects of Friction 6.4 The Effects of Stability 6.5 Observed Wind Profiles 6.6 Diurnal Variations 6.7 Applications Problems and Exercises Chapter 7 An Introduction to Viscous Flows 7.1 Inviscid and Viscous Flows 7.2 Laminar and Turbulent Flows 7.3 Equations of Motion 7.4 Plane-Parallel Flows 7.5 Ekman Layers 7.6 Developing Boundary Layers 7.7 Heat Transfer in Fluids 7.8 Applications Problems and Exercises Chapter 8 Fundamentals of Turbulence 8.1 Instability of Flow and Transition to Turbulence 8.2 The Generation and Maintenance of Turbulence 8.3 General Characteristics of Turbulence 8.4 Mean and Fluctuating Variables 8.5 Variances and Turbulent Fluxes 8.6 Eddies and Scales of Motion 8.7 Applications Problems and Exercises Chapter 9 Semiempirical Theories of Turbulence 9.1 Mathematical Description of Turbulent Flows 9.2 Gradient-Transport Theories 9.3 Dimensional Analysis and Similarity Theories 9.4 Applications Problems and Exercises Chapter 10 Neutral Boundary Layers 10.1 Velocity-Profile Laws 10.2 Surface Roughness Parameters 10.3 Surface Stress and Drag Coefficient 10.4 Turbulence 10.5 Applications Problems and Exercises Chapter 11 Momentum and Heat Exchanges with Homogeneous Surfaces 11.1 The Monin-Obukhov Similarity Theory 11.2 Empirical Forms of Similarity Functions 11.3 Wind and Temperature Profiles 11.4 Drag and Heat Transfer Coefficients 11.5 Methods of Determining Momentum and Heat Fluxes 11.6 Applications Problems and Exercises Chapter 12 Evaporation from Homogeneous Surfaces 12.1 The Process of Evaporation 12.2 Potential Evaporation and Evapotranspiration 12.3 Modified Monin-Obukhov Similarity Relations 12.4 Micrometeorological Methods of Determining Evaporation 12.5 Applications Problems and Exercises Chapter 13 Marine Atmospheric Boundary Layer 13.1 Sea-Surface Characteristics 13.2 Momentum Transfer to the Sea Surface 13.3 Parameterization of Air-Sea Exchanges 13.4 Mean Profiles in the Marine Atmospheric Boundary Layer 13.5 Turbulence over Water 13.6 Applications Problems and Exercises Chapter 14 Nonhomogeneous Boundary Layers 14.1 Types of Surface Inhomogeneities 14.2 Step Changes in Surface Roughness 14.3 Step Changes in Surface Temperature 14.4 Air Modifications over Water Surfaces 14.5 Air Modifications over Urban Areas 14.6 Building Wakes and Street Canyon Effects 14.7 Other Topographical Effects 14.8 Applications Problems and Exercises Chapter 15 Agricultural and Forest Micrometeorology 15.1 Flux-Profile Relations above Plant Canopies 15.2 Radiation Balance within Plant Canopies 15.3 Wind Distribution in Plant Canopies 15.4 Temperature and Moisture Fields 15.5 Turbulence in Plant Canopies 15.6 Applications Problems and Exercises References Index

Note: Contents: SUMMARY. - 1. INTRODUCTION. - 1.1 Geographic setting and ecosystems of the Antarctic. - 1.2 Man's activities in the Antarctic. - 2. ENVIRONMENTAL IMPACT ASSESSMENT. - 2.1 Environmental impact philosophy and terms. - 2.2 Definitions. - 2.3 Criteria for identifying significant impact. - 2.4 Temporal and spatial considerations of environmental impact. - 2.5 Consequential, synergistic and combined effects. - 2.6 Identification of sensitive indicators of change. - 3. ENVIRONMENTAL IMPACT ASSESSMENT PROCEDURE. - 3.1 Suggested format. - 3.2 When is an Environmental Impact Assessment necessary?. - 3.3 Environmental impact assessments of current operations and stations. - 3.4 Monitoring. - 4. SURVEY OF THE IMP ACTS OF MAN'S ACTIVITIES IN THE ANTARCTIC. - 4.1 Terrestrial impacts (including inland waters). - 4.2 Marine impacts. - 4.3 Atmospheric impacts. - 4.4 Distribution of impacts. - 5. THE FUTURE. - APPENDIX A. Relevant excerpts from Recommendation XII -3 (Man's Impact on the Antarctic Environment) of the Twelfth Antarctic Treaty Consultative Meeting, Canberra, 1983 and Paragraphs 17-19 of its Report. - APPENDIX B. ACRONYMS. - BIBLIOGRAPHY.

Note: Contents: List of Figures. - List of Tables. - 1. Introduction. - a. An Overview of Principal Component Analysis (PCA). - b. Outline of the Book. - c. A Brief History of PCA. - d. Acknowledgments. - 2. Algebraic Foundations of PCA. - a. Introductory Example: Bivariate Data Sets. - Monterey, California air temperatures. - Centering and rotating the data set. - Variances in the rotated frame. - Principal angles. - Principal variances. - Principal covariance. - Principal directions. - Principal components; principal directions as basis vectors. - Matrix representation. - The PCA property. - Invariance of the total variance under rotation. - Principal variances for standardized data sets. - PCA and estimates of the statistical parameters of normal populations. - PCA and the construction of Monte Carlo experiments. - Eigenvalues and eigenvectors of the covariance and scatter matrices. - b. Principal Component Analysis: Real-valued Scalar Fields. - t-centering the data set. - The scatter probe and the scatter matrix. - The eigenstructures of PCA. - The basic data set representations; analysis and synthesis formulas. - The PCA property. - Second-order properties of PCA; the total scatter . - The singular value decomposition (SVD) of a data set. - Second-order properties of PCA; correlations. - PCA characterized by the PCA property. - The asymptotic PCA property and dynamical systems. - PCA of spatial composites of data sets. - PCA of temporal composites of data sets. - c. Principal Component Analysis: Complex-valued Scalar Fields, and Beyond. - PCA of complex-valued data sets (C-PCA). - Complex algebra conventions. - The scatter probe and scatter matrix for C-PCA. - Derivation of the eigenstructures of C-PCA. - The fundamental formulas of C-PCA. - Generalization of PCA to quaternion-valued data sets (Q-PCA). - Matrix representations of complex and quaternion numbers. - PCA of matrix-valued data sets (M-PCA). - Reduction of M-PCA to C-PCA form. - d. Bibliographic Notes and Miscellaneous Topics. - Alternate interpretation of the scatter probe. - Numerical calculations of eigenstructures of a scatter matrix. - Some elementary properties of eigenstructures of a scatter matrix. - Sample space vs. state space: choosing the dual computation. - PCA for continuous domains. - PCA for continuous domains: the viewpoint of empirical orthogonal functions. - The sixteen possible domain pairs for PCA: abstract PCA. - 3. Dynamical Origins of PCA. - a. One-dimensional Hannonic Motion. - A spring-linked-mass model; general form. - A spring-linked-mass model; special form. - A numerical example of the asymptotic PCA property. - Further investigations of the asymptotic PCA property and of EOF's. - b. Two-dimensional Wave Motion. - Solution of a two-dimensional damped-wave model. - Demonstration of the asymptotic PCA property (forcing and friction absent). - Demonstration of the asymptotic PCA property (forcing and friction present). - Physical basis for eigenframe rotations. - c. Dynamical Origins of Linear Regression (LR). - From continuous to discrete solutions to the regression model. - The linear regression procedure. - Comparison of LRA and PCA. - d. Random Processes and Karhunen-Loeve Analysis. - Origins of random processes in linear settings. - Karhunen-Loeve representation of random data sets and comparison with PCA. - e. Stationary Processes and PCA. - Derivation of the PCA representation of a one-dimensional stationary process via a simple wave model. - Connections between PCA and stationary processes: the case of one dimension. - Connections between PGA and stationary processes: extension to two dimensions. - f. Bibliographic Notes. - 4. Extensions of PCA to Multivariate Fields. - a. Categories of Data and Modes of Analysis. - Examples. - Generalized notation: the concepts of "individual" and "variable" in PCA. - b. Local PCA of a General Vector Field. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - Examples. - c. Global PCA of a General Vector Field: Time-Modulation Form. - The PGA formalism. - Squared correlations. - Degeneracy of global PGA to local PGA. - Variational origin of the scatter matrix. - d. Global PCA of a General Vector Field: Space-Modulation Form. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - e. PCA of Spectral Components of a General Vector Field. - Fourier analysis of the vector field components. - The scatter matrix in the spectral setting. - Example of spectral PCA of a windfield. - f. Bibliographic Notes and Miscellaneous Topics. - The eight modes of analysis and Cattell's classifications. - Time-modulation PGA as a special case of matrix-valued PGA. - Applications to the PGA of wind fields. - Distinction between time-modulation PGA and complex PGA. - Applications to the PGA of storm tracks. - 5. Selection Rules for PCA. - a. Random Reference Data Sets. - b. Dynamical Origins of the Dominant-Variance Selection Rules. - A dynamical model. - Rationale for selection rules. - c. Rule A4. - Statistical basis and discussion. - Choice of λ0. - d. Rule N . - Statistical basis and discussion. - Adjustments for correlated data: effective sample size. - Asymptotic eigenvalues for large data sets. - e. Rule M. - f. Comments on Dominant-Variance Rules . - g. Dynamical Origins of the Time-History Selection Rules. - h. Rule KS2. - The white spectrum and the cumulative periodogram. - Statement of Rule KS2. - i. Rules AMPλ. - Fisher's test. - Siegel's test. - Statement of Rules AMPλ. - j. Rule Q. - k. Selection Rules for Vector-Valued Fields. - Local PCA rules. - Global PCA (time-modulated) rules. - Global PCA (space-modulated) rules. - I. A Space-map Selection Rule. - Canonic direction angles. - Differential relations between unit vectors and canonic direction angles. - An r-tile metric for comparing canonic direction angles. - Statistical aspects: critical values for class errors. - Statement of the selection rule. - m. Bibliographic Notes and Miscellaneous Topics. - Puzzles and problems underlying Rule N; the logarithmic eigenvalue curve. - Numerical intractability of the classical formulas for the eigenvalues of a random matrix. - Monte Carlo approaches to the eigenvalue distribution problem. - Comparison of Monte Carlo methods and asymptotic formulas for eigenvalue distributions. - The problem of closely spaced eigenvalues; tests for equal eigenvalues. - The generalized basis for dominant variance selection rules. - Parallel work in atomic physics. - 6. Factor Analysis (FA) and PCA. - a. Comparison of PCA, LRA, and FA. - Similarities between PCA, LRA, and FA. - Dissimilarities between PCA, LRA, and FA. - The usual algebraic form of FA; its PC and LR interpretations. - b. The Central Problems of FA. - The matrix formulation of FA. - The detailed sub-problems of FA. - c. Bibliographic Notes. - The selection rule problem in FA. - The parameter estimation problem in FA. - 7. Diagnostic Procedures via PCA and FA. - a. Dual Interpretations of a Data Set: State Space and Sample Space. - b. Interpreting E-frames in PCA State Space. - Example: graphical display of eigenvectors. - Rationales for interpreting eigenmaps and time series. - PCA as a means, rather than an end. - c. Informative and Uninformative E-frames in PCA State Space. - d. Rotating E-frames in PCA State Space (varimax). - A two-dimensional example of the varimax procedure. - The general varimax procedure. - The loss of the PCA property for rotated E-frames. - e. Projections onto E-frames in PCA State Space (procrustes). - Derivation of the procrustes technique. - Some observations on the generality of the procrustes technique. - f. Interpreting A-frames in PCA Sample Space. - g. Rotating A-frames in PCA Sample Space (varimax). - h. Projections onto A-frames in PCA Sample Space (procrustes). - i. Detecting Clusters of Points in PCA State or Sample Spaces. - Minimal spanning trees. - Defining cluster pairs, and te

Note: TABLE OF CONTENTS: Preface. - List of participants. - The West Antarctic Ice Sheet : the need to understand its dynamics / C. J. VAN DER VEEN. - Force budget of ice sheets / I. M. WHILLANS. - On the oceanic circulation near a shelf-ice edge / G. J. F. VAN HEIJST. - Quantitative estimates of the mass flux and ice movement along the ice edges in the eastern and southern Weddell Sea / M. A. LANGE. - Some aspects of the flow of the Ronne Ice Shelf / C. S. M. DOAKE. - Unconfined ice-shelf flow / L. W. MORLAND. - Plane and radial ice-shelf flow with prescribed temperature profile / L. W. MORLAND and R. ZAINUDDIN. - Ice-shelf backpressure : form drag versus dynamic drag / D. R. MACAYEAL. - Ice stream-ice shelf interaction in West Antarctica / R. A. BINDSCHADLER, D. R. MACAYEAL and S. N. STEPHENSON. - A few preliminary results from the glaciogeophysical survey of the interior Ross Embayment (GSIRE) / C. R. BENTLEY, S. SHABTAIE, D. D. BLANKENSHIP, R. B. ALLEY and S. T. ROONEY. - On the flow within the transition zone between ice sheet and ice shelf / K. HERTERICH. - The finite-element method applied to a time-dependent flowband model / J. L. FASTOOK. - Longitudinal stresses and basal sliding : a comparative study / C. J. VAN DER VEEN. - A subglacial aquifer bed model and water pressure dependent basal sliding relationship for a West Antarctic ice stream / C. S. LINGLE and T. J. BROWN. - The heat budget of the Ross drainage basin / J. OEKLEMANS. - Numerical modelling of the large-scale basal water flux under the West Antarctic Ice Sheet / W. F. BUDD and D. JENSSEN. - Modelling the response of the West Antarctic Ice Sheet to a climatic warming / W. F. BUDD, B. J. MCINNES, D. JENSSEN and I. N. SMITH. - Subject index. - Geographic index.

Note: L. M. Parson and A. C. Morton: Introduction / Geological Society, London, Special Publications, 39:ix-xii, doi:10.1144/GSL.SP.1988.039.01.01: Volcanic and Tectonic Framework --- R. S. White: A hot-spot model for early Tertiary volcanism in the N Atlantic / Geological Society, London, Special Publications, 39:3-13, doi:10.1144/GSL.SP.1988.039.01.02 --- M. H. P. Bott: A new look at the causes and consequences of the Icelandic hot-spot / Geological Society, London, Special Publications, 39:15-23, doi:10.1144/GSL.SP.1988.039.01.03 --- J. F. Dewey and B. F. Windley: Palaeocene-Oligocene tectonics of NW Europe / Geological Society, London, Special Publications, 39:25-31, doi:10.1144/GSL.SP.1988.039.01.04 --- Dipping Reflectors and NE Atlantic Evolution --- J. C. Mutter and C. M. Zehnder: Deep crustal structure and magmatic processes: the inception of seafloor spreading in the Norwegian-Greenland Sea / Geological Society, London, Special Publications, 39:35-48, doi:10.1144/GSL.SP.1988.039.01.05 --- J. Skogseid and O. Eldholm: Early Cainozoic evolution of the Norwegian volcanic passive margin and the formation of marginal highs / Geological Society, London, Special Publications, 39:49-56, doi:10.1144/GSL.SP.1988.039.01.06 --- L. M. Parson and the ODP Leg 104 Scientific Party: Dipping reflector styles in the NE Atlantic Ocean / Geological Society, London, Special Publications, 39:57-68, doi:10.1144/GSL.SP.1988.039.01.07 --- L. G. Viereck, P. N. Taylor, L. M. Parson, A. C. Morton, J. Hertogen, I. L. Gibson, and the ODP Leg 104 Scientific Party: Origin of the Palaeogene Vøring Plateau volcanic sequence / Geological Society, London, Special Publications, 39:69-83, doi:10.1144/GSL.SP.1988.039.01.08 --- S. T. Gudlaugsson, K. Gunnarsson, M. Sand, and J. Skogseid: Tectonic and volcanic events at the Jan Mayen Ridge microcontinent / Geological Society, London, Special Publications, 39:85-93, doi:10.1144/GSL.SP.1988.039.01.09 --- H. C. Larsen and S. Jakobsdóttir: Distribution, crustal properties and significance of seawards-dipping sub-basement reflectors off E Greenland / Geological Society, London, Special Publications, 39:95-114, doi:10.1144/GSL.SP.1988.039.01.10 --- M. S. Andersen: Late Cretaceous and early Tertiary extension and volcanism around the Faeroe Islands / Geological Society, London, Special Publications, 39:115-122, doi:10.1144/GSL.SP.1988.039.01.11 --- R. J. Merriman, P. N. Taylor, and A. C. Morton: Petrochemistry and isotope geochemistry of early Palaeogene basalts forming the dipping reflector sequence SW of Rockall Plateau, NE Atlantic / Geological Society, London, Special Publications, 39:123-134, doi:10.1144/GSL.SP.1988.039.01.12 --- J. I. Faleide, A. M. Myhre, and O. Eldholm: Early Tertiary volcanism at the western Barents Sea margin / Geological Society, London, Special Publications, 39:135-146, doi:10.1144/GSL.SP.1988.039.01.13 --- L. Kristjansson and J. Helgason: Some properties of basalt lava sequences and volcanic centres in a plate-boundary environment / Geological Society, London, Special Publications, 39:147-155, doi:10.1144/GSL.SP.1988.039.01.14 --- H. C. Larsen: A multiple and propagating rift model for the NE Atlantic / Geological Society, London, Special Publications, 39:157-158, doi:10.1144/GSL.SP.1988.039.01.15 --- E Greenland and the Faeroe Islands --- R. C. O. Gill, T. F. D. Nielsen, C. K. Brooks, and G. A. Ingram: Tertiary volcanism in the Kangerdlugssuaq region, E Greenland: trace-element geochemistry of the Lower Basalts and tholeiitic dyke swarms / Geological Society, London, Special Publications, 39:161-179, doi:10.1144/GSL.SP.1988.039.01.16 --- P. M. Holm: Nd, Sr and Pb isotope geochemistry of the Lower Lavas, E Greenland Tertiary Igneous Province / Geological Society, London, Special Publications, 39:181-195, doi:10.1144/GSL.SP.1988.039.01.17 --- A. J. C. Hogg, J. J. Fawcett, J. Gittins, and M. P. Gorton: Cyclical tholeiitic volcanism and associated magma chambers: eruptive mechanisms in E Greenland / Geological Society, London, Special Publications, 39:197-200, doi:10.1144/GSL.SP.1988.039.01.18 --- R. H. Noble, R. M. Macintyre, and P. E. Brown: Age constraints on Atlantic evolution: timing of magmatic activity along the E Greenland continental margin / Geological Society, London, Special Publications, 39:201-214, doi:10.1144/GSL.SP.1988.039.01.19 --- D. H. Tarling, E. A. Hailwood, and R. Løvlie: A palaeomagnetic study of lower Tertiary lavas in E Greenland and comparison with other lower Tertiary observations in the northern Atlantic / Geological Society, London, Special Publications, 39:215-224, doi:10.1144/GSL.SP.1988.039.01.20 --- R. Waagstein: Structure, composition and age of the Faeroe basalt plateau / Geological Society, London, Special Publications, 39:225-238, doi:10.1144/GSL.SP.1988.039.01.21 --- Volcanism in Basins to the N and W of the British Isles --- F. G. F. Gibb and R. Kanaris-Sotiriou: The geochemistry and origin of the Faeroe-Shetland sill complex / Geological Society, London, Special Publications, 39:241-252, doi:10.1144/GSL.SP.1988.039.01.22 --- F. J. Fitch, G. L. Heard, and J. A. Miller: Basaltic magmatism of late Cretaceous and Palaeogene age recorded in wells NNE of the Shetlands / Geological Society, London, Special Publications, 39:253-262, doi:10.1144/GSL.SP.1988.039.01.23 --- A. C. Morton, D. Evans, R. Harland, C. King, and D. K. Ritchie: Volcanic ash in a cored borehole W of the Shetland Islands: evidence for Selandian (late Palaeocene) volcanism in the Faeroes region / Geological Society, London, Special Publications, 39:263-269, doi:10.1144/GSL.SP.1988.039.01.24 --- M. S. Stoker, A. C. Morton, D. Evans, M. J. Hughes, R. Harland, and D. K. Graham: Early Tertiary basalts and tuffaceous sandstones from the Hebrides Shelf and Wyville-Thomson Ridge, NE Atlantic / Geological Society, London, Special Publications, 39:271-282, doi:10.1144/GSL.SP.1988.039.01.25 --- M. V. Wood, J. Hall, and J. J. Doody: Distribution of early Tertiary lavas in the NE Rockall Trough / Geological Society, London, Special Publications, 39:283-292, doi:10.1144/GSL.SP.1988.039.01.26 --- A. C. Morton, J. E. Dixon, J. G. Fitton, R. M. Macintyre, D. K. Smythe, and P. N. Taylor: Early Tertiary volcanic rocks in Well 163/6-1A, Rockall Trough / Geological Society, London, Special Publications, 39:293-308, doi:10.1144/GSL.SP.1988.039.01.27 --- M. P. Tate and M. R. Dobson: Syn- and post-rift igneous activity in the Porcupine Seabight Basin and adjacent continental margin W of Ireland / Geological Society, London, Special Publications, 39:309-334, doi:10.1144/GSL.SP.1988.039.01.28 --- British Tertiary Igneous Province --- A. E. Mussett, P. Dagley, and R. R. Skelhorn: Time and duration of activity in the British Tertiary Igneous Province / Geological Society, London, Special Publications, 39:337-348, doi:10.1144/GSL.SP.1988.039.01.29 --- I. G. Meighan, A. G. McCormick, D. Gibson, J. A. Gamble, and I. J. Graham: Rb-Sr isotopic determinations and the timing of Tertiary central complex magmatism in NE Ireland / Geological Society, London, Special Publications, 39:349-360, doi:10.1144/GSL.SP.1988.039.01.30 --- P. J. O’Connor: Strontium isotope geochemistry of Tertiary igneous rocks, NE Ireland / Geological Society, London, Special Publications, 39:361-363, doi:10.1144/GSL.SP.1988.039.01.31 --- B. R. Bell and C. H. Emeleus: A review of silicic pyroclastic rocks of the British Tertiary Volcanic Province / Geological Society, London, Special Publications, 39:365-379, doi:10.1144/GSL.SP.1988.039.01.32 --- R. W. England: The early Tertiary stress regime in NW Britain: evidence from the patterns of volcanic activity / Geological Society, London, Special Publications, 39:381-389, doi:10.1144/GSL.SP.1988.039.01.33 --- J. H. Bédard, R. S. J. Sparks, R. Renner, R. Hunter, and M. Cheadle: A re-evaluation of the origin and nature of layered peridotite, troctolite and gabbro in the Eastern Layered Series of the R

Note: Contents: Contributors. - Foreword. - Preface. - PART 1. NUMERICAL WEATHER PREDICTION. - Medium-range forecasting at the ECMWF / Lennart Bengtsson. - 1. Introduction. - 2. The physical and mathematical basis for medium-range forecasting. - 3. Numerical methods and modeling techniques. - 4. Observations, their use and importance. - 5. Operational application and results. - 6. Problems and prospects in numerical weather prediction. - 7. Concluding remarks. - References. - Extended range forecasting / K. Miyakoda and J. Sirutis. - 1. Introduction. - 2. An evolution of 10-day forecast performance. - 3. Examples of monthly forecasts. - 4. A projection of seasonal forecasts. - 5. Postscript. - References. - Predictability / J. Shukla. - 1. Introduction. - 2. Classical predictability studies. - 3. Predictability of space-time averages. - 4. Some outstanding problems. - 5. Concluding remarks. - References. - Data Assimilation / W. Bourke, R. Seaman, and K. Puri. - 1. Introduction. - 2. Evolution of assimilation and the FGGE. - 3. Components of four-dimensional assimilation systems. - 4. Characteristics of some current Assimilation schemes. - 5. Role of four-dimensional assimilation in research and operations. - 6. Conclusion. - References. - PART 2. MESOSCALE DYNAMICS. - Predictability of mesoscale atmospheric motions / Richard A. Anthes, Ying-Hwa Kuo, David P. Baumhefner, Ronald M. Errico, and Thomas W. Bettge. - 1. Introduction. - 2. Classic predictability experiments and their relationship to mesoscale predictability. - 3. Preliminary predictability study with a mesoscale model. - 4. Discussion and comparison with a predictability study using a global model. - 5. Summary and conclusions. - References. - Thermal and orographic mesoscale atmospheric systems - an essay / Roger A. Pielke. - 1. Introduction. - 2. Summary of major research accomplishments. - 3. Research areas. - 4. Eventual goals. - References. - Advances in the theory of atmospheric fronts / I. Orlanski, B. Ross, L. Polinsky, and R. Shaginaw. - 1. Introduction. - 2. Baroclinic waves and fronts. - 3. Mature front. - 4. What observed features can be explained by theory?. - 5. What other processes are important in Frontogenesis?. - References. - PART 3. TROPICAL DYNAMICS. - Numerical modeling of tropical cyclones / Yoshio Kurihara. - 1. Introduction. - 2. Numerical models of hurricanes. - 3. Numerical simulation of tropcial cyclones. - 4. Some challenging issues in the future. - Appendix. GFDL Hurricane Model. - References. - Numerical weather prediction in low latitudes / T. N. Krishnamurti. - 1. Introduction. - 2. Initialization: dynamic, normal mode, and physical. - 3. Parameterization of physical processes. - 4. Medium-range prediction of monsoon disturbances. - 5. On the prediction of the quasi-Stationary component. - 6. Scope of future research. - References. - PART 4. TURBULENCE AND CONVECTION. - Sub-grid-scale turbulence modeling / J. W. Deardorff. - 1. Introduction: the need for grid-scale Reynolds averaging. - 2. The effect of grid-volume Reynolds averaging. - 3. The sub-grid scale Eddy Coefficient. - 4. Recent developments. - 5. Future outlook. - References. - Ensemble average, turbulence closure / George L. Mellor. - 1. Introduction. - 2. The turbulence macroscale and turbulence closure. - 3.Averaging distance for measurements in the atmosphere and oceans and for numerical models. - 4. Numerical modeling applications and horizontal diffusion. - 5. Concluding remarks. - References. - The planetary boundary layer / H. A. Panofsky. - 1. General characteristics. - 2. The equations in the PBL. - 3. The surface layer. - 4. First- and second-order closures. - 5. Boundary-layer models. - 6. Boundary-layer parameterization. - References. - Modeling studies and convection / Yoshi Ogura. - 1. Introduction. - 2. Bénard-Rayleigh Convection. - 3. Complexity of convection in the atmosphere. - 4. Shallow moist convection. - 5. Deep moist convection. - 6. Feedback effects of cumulus clouds on larger-scale environments. - 7. Concluding remarks. - References. - Index.

Note: Contents: OVERVIEW. - 1. WORKSHOP ON THE ANTARCTIC TREATY SYSTEM: OVERVIEW / James H. Zumberge and Lee A. Kimball. - Trends in the Debate at the Workshop. - Ideas and Suggestions Put Forward. - The Antarctic Setting. - INTRODUCTION. - 2. ANTARCTICA PRIOR TO THE ANTARCTIC TREATY - A HISTORICAL PERSPECTIVE / Trevor Hatherton. - Early Notions. - The Routes Open. - Reduction to Size. - Exploitation - The Seals. - Science and National Interests. - Because It Is There. - Exploitation - The Whales. - The Modern Era. - The International Geophysical Year, 1957-1958. - 3. JURIDICAL NATURE OF THE 1959 TREATY SYSTEM / Yuri M. Rybakov. - Peaceful Use. - Scientific Investigation. - Inspection. - Consultative Meetings. - Recommendations. - Additional Conventions. - LEGAL AND POLITICAL BACKGROUND. - 4. ANTARCTICA PRIOR TO THE ANTARCTIC TREATY: A POLITICAL AND LEGAL PERSPECTIVE / Cristian Maquieira. - 5. ANTARCTIC CONFLICT AND INTERNATIONAL COOPERATION / Francisco Orrego Vicuna. - The Early Trends Toward Antarctic Conflict. - Localized Territorial Disputes. - Generalized Territorial Disputes and International Implications. - Strategic Uses and Disputes in Antarctica. - Major-Power Rivalry in Antarctica. - The Antarctic Treaty: Cooperation as a Factor of Stabilization. - 6. THE ANTARCTIC TREATY AS A CONFLICT RESOLUTION MECHANISM / Arthur D. Watts. - 7. PANEL DISCUSSION ON THE LEGAL AND POLITICAL BACKGROUND OF THE ANTARCTIC TREATY. - ANTARCTIC SCIENCE. - 8. SUMMARY OF SCIENCE IN ANTARCTICA PRIOR TO AND INCLUDING THE INTERNATIONAL GEOPHYSICAL YEAR / Robert H. Rutford. - 9. THE ANTARCTIC TREATY AS A SCIENTIFIC MECHANISM (POST-IGY) - CONTRIBUTIONS OF ANTARCTIC SCIENTIFIC RESEARCH / William F. Budd. - Introduction. - The Post-IGY International Antarctica Quarter Century. - The Profitable Nonrenewable Resources Fallacy. - Antarctica as a Global Environmental Science Resource. - Antarctic Publications and the Knowledge Explosion. - Highlights of Antarctic Discoveries and Research. - The Treaty Nations as the United Nations "Antarctic Rangers". - 10. THE ANTARCTIC TREATY AS A SCIENTIFIC MECHANISM - THE SCIENTIFIC COMMITTEE ON ANTARCTIC RESEARCH AND THE ANTARCTIC TREATY SYSTEM / James H. Zumberge. - Introduction. - The Origin and Growth of SCAR. - SCAR Structure and Procedures. - The Interaction of SCAR with the Antarctic Treaty System. - A Look at SCAR's Future. - 11. THE ROLE OF SCIENCE IN THE ANTARCTIC TREATY SYSTEM / E. Fred Roots. - Background. - The Political Role of Science in Antarctica. - Different Approaches to Science in Antarctica. - What Results Can Antarctic Science Deliver?. - The Setting of Scientific Priorities in Antarctica. - The Future. - 12. PANEL DISCUSSION ON ANTARCTIC SCIENCE. - THE ANTARCTIC ENVIRONMENT: MANAGEMENT AND CONSERVATION OF RESOURCES A. CONSERVATION AND ENVIRONMENT 13. THE ANTARCTIC TREATY SYSTEM AS AN ENVIRONMENTAL MECHANISM - AN APPROACH TO ENVIRONMENTAL ISSUES / John A. Heap and Martin W. Holdgate. - Introduction. - Characteristics of the Antarctic Environment. - Human Impacts on the Environment of Antarctica. - The Evaluation of Environmental Goals. - Environmental Conservation Within the Antarctic Treaty System. - The Antarctic Treaty System as a Mechanism for Environmental Conservation. - 14. PANEL DISCUSSION ON CONSERVATION AND ENVIRONMENT. - B. LIVING RESOURCES. - 15. THE ANTARCTIC TREATY SYSTEM AS A RESOURCE MANAGEMENT MECHANISM - LIVING RESOURCES / John A. Gulland. - Introduction. - Marine Resources. - International Whaling Commission. - The Role of the Antarctic Treaty. - Terrestrial Activities. - The Role of SCAR. - 16. PANEL DISCUSSION ON LIVING RESOURCES. - Biomass. - Experimental Fishery. - Inspection and Other CCAMLR Measures. - C. NONLIVING RESOURCES. - 17. ARCTIC OFFSHORE TECHNOLOGY AND ITS RELEVANCE TO THE ANTARCTIC / K. R. Croasdale. - Introduction. - Geography and Oil and Gas Resources. - The Arctic Offshore Environment. - Technology for Arctic Offshore Petroleum Operations. - Conclusions. - 18. DISCUSSION ON TECHNOLOGY AND ECONOMICS OF MINERALS DEVELOPMENT IN POLAR AREAS. - 19. THE ANTARCTIC TREATY SYSTEM AS A RESOURCE MANAGEMENT MECHANISM - NONLIVING RESOURCES / Christopher D. Beeby. - 20. PANEL DISCUSSION ON NONLIVING RESOURCES. - Participation. - Common Heritage of Mankind. - Participation in the Minerals Regime Negotiations. - Participation in the Adoption of the Minerals Regime. - Participation in Implementation of the Minerals Regime. - Participation in Activities and Benefits. - Urgency and Timing of Minerals Activities. - The Regime. - Enforcement and Reporting Requirements. - INSTITUTIONS. - 21. THE ANTARCTIC TREATY SYSTEM FROM THE PERSPECTIVE OF A STATE NOT PARTY TO THE SYSTEM / Zain Azraai. - The Response of the Nontreaty Parties (NTPs). - 22. THE ANTARCTIC TREATY SYSTEM FROM THE PERSPECTIVE OF A NON-CONSULTATIVE PARTY TO THE ANTARCTIC TREATY / Peter Bruckner. - Introduction. - Motives for Accession. - Functioning of the Treaty System. - Rights and Obligations of the NCPs Under the Treaty. - The Observer Issue. - Antarctica and the U.N. General Assembly. - Concluding Remarks. - Appendix. - 23. THE ANTARCTIC TREATY SYSTEM FROM THE PERSPECTIVE OF A NEW CONSULTATIVE PARTY / L. F. Macedo de Soares Guimaraes. - 24. THE ANTARCTIC TREATY SYSTEM FROM THE PERSPECTIVE OF A NEW MEMBER / S. Z. Qasim and H. P. Rajan. - Introduction. - Background of the Antarctic Treaty. - The Antarctic Treaty System. - India's Scientific Expeditions. - Political Issues. - Conclusions. - 25. THE INTERACTION BETWEEN THE ANTARCTIC TREATY SYSTEM AND THE UNITED NATIONS SYSTEM / Richard A. Woolcott. - Promotion of Principles and Purposes of United Nations Charter. - Links with the United Nations Specialized Agencies. - The Future. - Relationship to the United Nations System in the Future. - 26. THE EVOLUTION OF THE ANTARCTIC TREATY SYSTEM - THE INSTITUTIONAL PERSPECTIVE / R. Tucker Scully. - Introduction. - The Antarctic Treaty. - The Antarctic Treaty System - Substantive Content. - The Antarctic Treaty System - Institutional Response. - Operation of the Antarctic Treaty System. - Conclusion. - 27. PANEL DISCUSSION ON INSTITUTIONS OF THE ANTARCTIC TREATY SYSTEM. - Legitimacy. - Evolution of the Antarctic Treaty System. - Concluding Remarks.

Note: Contents: Translator's foreword. - Preface to English edition. - Abstract. - Map showing major place names. - 1 Introduction. - 2 What is the tundra?. - 3 Temperature and humidity in the tundra. - 4 The diversity of tundra landscapes. - 5 Snow and its role in the life of the tundra. - 6 Adaptation of living organisms to conditions in the tundra zone. - 7 Distribution of animals and plants. - 8 Interrelationships between organisms. - 9 Man and the tundra. - Bibliography. - Index. , Aus dem Russ. übers.

Note: Contents PREFACE LIST OF SYMBOLS 1 INTRODUCTION 1.1 General Remarks 1.2 Historical Notes 2 EQUATIONS 2.1 The Continuity Equation 2.2 The Navier-Stokes Equations 2.3 The Equation of State 2.4 The First Law of Thermodynamics 2.5 Simplification of the Basic Equations 2.6 Averaging Procedures 2.7 Further Simplifications 3 STRUCTURE OF TURBULENCE 3.1 Transition and Instabilities 3.2 Statistical Description of Turbulence 3.3 Scales of Turbulent Flow 3.4 Equations of Higher Moment 3.5 Budgets of Turbulent Fluxes and Variances 3.5.1 Balance of turbulent kinetic energy 3.5.2 Heat flux balance 3.5.3 Momentum flux balance 3.5.4 Temperature and humidity variance and covariance balances 4 SIMILARITY 4.1 Dimensional Analysis and Similarity 4.2 The Monin-Obukhov Similarity Theory 4.2.1 Free convection regime 4.2.2 Neutral regime 4.2.3 Very stable regime 4.2.4 Empirical verification 4.3 The Rossby Number Similarity Theory 4.4 Local Similarity Theory 4.4.1 Stable boundary layer 4.4.2 Convective boundary layer 5 SPECTRAL ANALYSIS 5.1 General Considerations 5.2 Energy Spectra 5.3 Cross Spectra 5.4 Spatial Spectra 5.5 Spectral Curve-Fitting 5.6 Spectra and Cospectra in the Surface Layer 5.7 Spectra and Cospectra in the Mixed Layer 5.8 Spectra and Cospectra in the Stable Outer Layer 6 MODELING 6.1 General Remarks 6.2 Integral Models 6.3 First-Order Closures 6.3.1 Flow in the surface layer 6.3.2 The Ekman model 6.3.3 Effects of baroclinicity 6.3.4 Effects of thermal stability 6.3.5 Effects of slightly inclined terrain 6.3.6 The effects of nonstationarity 6.4 Nonlocal Closures 6.5 Higher-Order Closures 6.5.1 The momentum flux equation 6.5.2 The heat flux equation 6.5.3 The temperature variance equation 6.5.4 The dissipation rate equation 6.6 Large Eddy Simulation Models 7 DIFFUSION 7.1 General Considerations 7.2 The Statistical Theory of Diffusion 7.3 K-Theory Models 7.4 Gaussian Models 7.5 Laboratory and Large Eddy Simulation Experiments 7.6 Higher-Order Closure Models 7.7 Monte Carlo Methods 8 MEASUREMENTS 8.1 Introduction 8.2 Sensors 8.2.1 Wind sensors 8.2.2 Temperature sensors 8.2.3 Measurements of humidity fluctuations 8.2.4 Measurements of concentration 8.2.5 Static and dynamic characteristics of sensors 8.3 Platforms 8.3.1 Aircraft measurements 8.3.2 Balloons 8.4 Remote Ground-Based Observing Systems 8.4.1 Radars 8.4.2 Lidars 8.4.3 Sodars 8.5 Averaging of Measured Quantities 8.6 Major Field Experiments 8.6.1 The 1953 Great Plains experiment 8.6.2 The 1967 Wangara experiment 8.6.3 The 1968 Kansas experiment 8.6.4 The 1973 Minnesota experiment Epilogue APPENDIX A.1 Fourier Analysis A.2 The Sweeping Method A.3 Vector Operators REFERENCES INDEX

Note: CONTENTS Preface / A. Berger, R. E. Dickinson and John W. Kidson I WORLD CLIMATE RESEARCH PROGRAMME 1. The World Climate Research Programme / Gordon A. McBean II. PALEOCLIMATES AND ICE 2. Long-Term Climatic and Environmental Records from Antarctic Ice / C. Lorius, J-M Barnola, M. Legrand, J. R. Petit, D. Raynaud, C. Ritz, N. Barkov, Y. S. Korotkevich, V. N. Petrov, C. Genthon, J. Jouzel, V. M. Kotlyakov, F. Yiou, and G. Raisbeck 3. The Role of Land Ice and Snow in Climate / Michael H. Kuhn III. VOLCANOES AND CLIMATE 4. Petrologic Evidence of Volatile Emissions From Major Historic and Pre-Historic Volcanic Eruptions / Julie M. Palais and Haraldur Sigurdsson IV. BIOGEOCHEMICAL CYCLES, LAND HYDROLOGY, LAND SURFACE PROCESSES AND CLIMATE 5. Uptake by the Atlantic Ocean of Excess Atmospheric Carbon Dioxide and Radiocarbon / Bert Bolin, Anders Björkström and Berrien Moore 6. African Drought: Characteristics, Causal Theories and Global Teleconnections / Sharon E. Nicholson 7. Sensitivity of Climate Model to Hydrology / Duzheng Ye 8. Stability of Tree/Grass Vegetation Systems / Peter S. Eagleson V. TROPICAL OCEAN AND GLOBAL ATMOSPHERE 9. Toga and Atmospheric Processes / Kevin Trenberth 10. Toga Real Time Oceanography in the Pacific / David Halpern VI. MODELLING CLIMATE, PAST, PRESENT AND FUTURE 11. Aeronomy and Paleoclimate / J.-C. Gérard 12. Studies of Cretaceous Climate / Eric J. Barron 13. Simulations of the Last Glacial Maximum with an Atmospheric General Circulation Model Including Paleoclimatic Tracer Cycles / Sylvie Joussaume, Jean Jouzel and Robert Sadourny 14. Progress and Future Developments in Modelling the Climate System with General Circulation Models / P. R. Rowntree 15. Quantitative Analysis of Feedbacks in Climate Model Simulations / Michael E. Schlesinger

Note: Zugl.: Bremen, Univ., Diss., 2005

Note: Zugl.: Bremen, Univ., Diss., 2005

Note: CONTENTS: Preface / Claude R. Duguay and Alain Pietroniro. - Introduction / Claude R. Duguay and Alain Pietroniro. - Remote Sensing of Snow Cover / Dieter Scherer, Dorothy K. Hall, Volker Hochschild, Max König, Jan-Gunnar Winther, Claude R. Duguay, Frédérique Pivot, Christian Mätzler, Frank Rau, Klaus Seidel, Rune Solberg, and Anne E. Walker. - Remote Sensing of Glaciers and Ice Sheets / Jan-Gunnar Winther, Robert Bindschadler, Max König, and Dieter Scherer. - Ice Characteristics and Processes, and Remote Sensing of Frozen Rivers and Lakes / Martin O. Jeffries, Kim Morris, and Nickolai Kozlenko. - Satellite Remote Sensing of Permafrost and Seasonally Frozen Ground / Claude R. Duguay, Tingjun Zhang, David W. Leverington, and Vladimir E. Romanovsky. - Remote Sensing of Surface Water and Soil Moisture / Alain Pietroniro, Jessika Töyrä, Robert Leconte, and Geoff Kite. - Evaporation/Evapotranspiration Estimates With Remote Sensing / Raoul Granger and Normand Bussières. - Appendix: Acronyms. - Subject Index.

Note: Ersch. unregelmäßig , Beiträge teilweise in Englisch

Note: Ch. 1. Structure and development of a plant : an overview -- ch. 2. The protoplast : plasma membrane, nucleus, and cytoplasmic organelles -- ch. 3. The protoplast : endomembrane system, secretory pathways, cytoskeleton, and stored compounds -- ch. 4. Cell wall -- ch. 5. Meristems and differentiation -- ch. 6. Apical meristems -- ch. 7. Parenchyma and collenchyma -- ch. 8. Sclerenchyma -- ch. 9. Epidermis -- ch. 10. Xylem : cell types and developmental aspects -- ch. 11. Xylem : secondary xylem and variations in wood structure -- ch. 12. Vascular cambium -- ch. 13. Phloem : cell types and developmental aspects -- ch. 14. Phloem : secondary phloem and variations in its structure -- ch. 15. Periderm -- ch. 16. External secretory structures -- ch. 17. Internal secretory structures.

Note: Zugleich: Dissertation, Universität Bremen, 1989 , Zusammenfassung in englischer Sprache

Note: Zugl.: Greifswald, Univ., Diss., 2005

Note: Zugl.: Bremen, Univ., Diss., 2006

Note: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index

Note: Zugl.: Bremen, Univ., Diss., 2005

Note: Zugl.: München,Univ. der Bundeswehr, Diss., 2005