ALBERT

Note: Text. engl. und russ. - Teilw. in kyrill. Schr.

Note: CONTENTS: Preface to the Second Edition. - Preface to the First Edition. - 1 The Atmosphere. - 1.1 History and Evolution of the Earth's Atmosphere. - 1.2 Climate. - 1.3 The Layers of the Atmosphere. - 1.4 Pressure in the Atmosphere. - 1.4.1 Units of Pressure. - 1.4.2 Variation of Pressure with Height in the Atmosphere. - 1.5 Temperature in the Atmosphere. - 1.6 Expressing the Amount of a Substance in the Atmosphere. - 1.7 Spatial and Temporal Scales of Atmospheric Processes. - Problems. - References. - 2 Atmospheric Trace Constituents. - 2.1 Atmospheric Lifetime. - 2.2 Sulfur-Containing Compounds. - 2.2.1 Dimethyl Sulfide (CH3SCH3). - 2.2.2 Carbonyl Sulfide (OCS). - 2.2.3 Sulfur Dioxide (SO2). - 2.3 Nitrogen-Containing Compounds. - 2.3.1 Nitrous Oxide (N2O). - 2.3.2 Nitrogen Oxides (NO* = NO + NO2). - 2.3.3 Reactive Odd Nitrogen (NOy). - 2.3.4 Ammonia (NH3). - 2.4 Carbon-Containing Compounds. - 2.4.1 Classification of Hydrocarbons. - 2.4.2 Methane. - 2.4.3 Volatile Organic Compounds. - 2.4.4 Biogenic Hydrocarbons. - 2.4.5 Carbon Monoxide. - 2.4.6 Carbon Dioxide. - 2.5 Halogen-Containing Compounds. - 2.5.1 Methyl Chloride (CH3C1). - 2.5.2 Methyl Bromide (CH3Br). - 2.6 Atmospheric Ozone. - 2.7 Particulate Matter (Aerosols). - 2.7.1 Stratospheric Aerosol. - 2.7.2 Chemical Components of Tropospheric Aerosol. - 2.7.3 Cloud Condensation Nuclei (CCN). - 2.7.4 Sizes of Atmospheric Particles. - 2.7.5 Sources of Atmospheric Paniculate. - 2.7.6 Carbonaceous Particles. - 2.7.7 Mineral Dust. - 2.8 Emission Inventories. - 2.9 Biomass Burning. - Appendix 2.1 Air Pollution Legislation. - Appendix 2.2 Hazardous Air Pollutants (Air Toxics). - Problems. - References. - 3 Chemical Kinetics. - 3.1 Order of Reaction. - 3.2 Theories of Chemical Kinetics. - 3.2.1 Collision Theory. - 3.2.2 Transition State Theory. - 3.2.3 Potential Energy Surface for a Bimolecular Reaction. - 3.3 The Pseudo-Steady-State Approximation. - 3.4 Reactions of Excited Species. - 3.5 Termolecular Reactions. - 3.6 Chemical Families. - 3.7 Gas-Surface Reactions. - Appendix 3 Free Radicals. - Problems. - References. - 4 Atmospheric Radiation and Photochemistry. - 4.1 Radiation. - 4.1.1 Solar and Terrestrial Radiation. - 4.1.2 Energy Balance for Earth and Atmosphere. - 4.1.3 Solar Variability. - 4.2 Radiative Flux in the Atmosphere. - 4.3 Beer-Lambert Law and Optical Depth. - 4.4 Actinic Flux. - 4.5 Atmospheric Photochemistry. - 4.6 Absorption of Radiation by Atmospheric Gases. - 4.7 Absorption by O2 and O3 122. - 4.8 Photolysis Rate as a Function of Altitude. - 4.9 Photodissociation of O3 to Produce O and O(1D). - 4.10 Photodissociation of NO2. - Problems. - References. - 5 Chemistry of the Stratosphere. - 5.1 Overview of Stratospheric Chemistry. - 5.2 Chapman Mechanism. - 5.3 Nitrogen Oxide Cycles. - 5.3.1 Stratospheric Source of NO* from N2O. - 5.3.2 NO* Cycles. - 5.4 HO* Cycles. - 5.5 Halogen Cycles. - 5.5.1 Chlorine Cycles. - 5.5.2 Bromine Cycles. - 5.6 Reservoir Species and Coupling of the Cycles. - 5.7 Ozone Hole. - 5.7.1 Polar Stratospheric Clouds. - 5.7.2 PSCs and the Ozone Hole. - 5.7.3 Arctic Ozone Hole. - 5.8 Heterogeneous (Nonpolar) Stratospheric Chemistry. - 5.8.1 The Stratospheric Aerosol Layer. - 5.8.2 Heterogeneous Hydrolysis of N2O5. - 5.8.3 Effect of Volcanoes on Stratospheric Ozone. - 5.9 Summary of Stratospheric Ozone Depletion. - 5.10 Transport and Mixing in the Stratosphere. - 5.11 Ozone Depletion Potential. - Problems. - References. - 6 Chemistry of the Troposphere. - 6.1 Production of Hydroxyl Radicals in the Troposphere. - 6.2 Basic Photochemical Cycle of NO2, NO, and O3. - 6.3 Atmospheric Chemistry of Carbon Monoxide. - 6.3.1 Low NO* Limit. - 6.3.2 High NO* Limit. - 6.3.3 Ozone Production Efficiency. - 6.3.4 Theoretical Maximum Yield of Ozone from CO Oxidation. - 6.4 Atmospheric Chemistry of Methane. - 6.5 The NO* and NOy, Families. - 6.5.1 Daytime Behavior. - 6.5.2 Nighttime Behavior. - 6.6 Ozone Budget of the Troposphere and Role of NO*. - 6.6.1 Ozone Budget of the Troposphere. - 6.6.2 Role of NO*. - 6.7 Tropospheric Reservoir Molecules. - 6.7.1 H2O2, CH3OOH, and HONO. - 6.7.2 Peroxyacyl Nitrates (PANs). - 6.8 Relative Roles of VOC and NOx in Ozone Formation. - 6.8.1 Importance of the VOC/NOx Ratio. - 6.8.2 Ozone Isopleth Plot. - 6.9 Simplified Organic/NOx Chemistry. - 6.10 Chemistry of Nonmethane Organic Compounds in the Troposphere. - 6.10.1 Alkanes. - 6.10.2 Alkenes. - 6.10.3 Aromatics. - 6.10.4 Aldehydes. - 6.10.5 Ketones. - 6.10.6 α, β-Unsaturated Carbonyls. - 6.10.7 Ethers. - 6.10.8 Alcohols. - 6.11 Atmospheric Chemistry of Biogenic Hydrocarbons. - 6.12 Atmospheric Chemistry of Reduced Nitrogen Compounds. - 6.12.1 Amines. - 6.12.2 Nitriles. - 6.12.3 Nitrites. - 6.13 Atmospheric Chemistry (Gas Phase) of Sulfur Compounds. - 6.13.1 Sulfur Oxides. - 6.13.2 Reduced Sulfur Compounds (Dimethyl Sulfide). - 6.14 Tropospheric Chemistry of Halogen Compounds. - 6.14.1 Chemical Cycles of Halogen Species. - 6.14.2 Tropospheric Chemistry of CFC Replacements: Hydrofluorocarbons (HFCs) and Hydrochlorofluorocarbons (HCFCs). - Problems. - References. - 7 Chemistry of the Atmospheric Aqueous Phase. - 7.1 Liquid Water in the Atmosphere. - 7.2 Absorption Equilibria and Henry's Law. - 7.3 Aqueous-Phase Chemical Equilibria. - 7.3.1 Water. - 7.3.2 Carbon Dioxide-Water Equilibrium. - 7.3.3 Sulfur Dioxide-Water Equilibrium. - 7.3.4 Ammonia-Water Equilibrium. - 7.3.5 Nitric Acid-Water Equilibrium. - 7.3.6 Equilibria of Other Important Atmospheric Gases. - 7.4 Aqueous-Phase Reaction Rates. - 7.5 S(IV)-S(VI) Transformation and Sulfur Chemistry. - 7.5.1 Oxidation of S(IV) by Dissolved O3. - 7.5.2 Oxidation of S(IV) by Hydrogen Peroxide. - 7.5.3 Oxidation of S(IV) by Organic Peroxides. - 7.5.4 Uncatalyzed Oxidation of S(IV) by O2. - 7.5.5 Oxidation of S(IV) by O2 Catalyzed by Iron and Manganese. - 7.5.6 Comparison of Aqueous-Phase S(IV) Oxidation Paths. - 7.6 Dynamic Behavior of Solutions with Aqueous-Phase Chemical Reactions. - 7.6.1 Closed System. - 7.6.2 Calculation of Concentration Changes in a Droplet with Aqueous-Phase Reactions. - Appendix 7.1 Thermodynamic and Kinetic Data. - Appendix 7.2 Additional Aqueous-Phase Sulfur Chemistry. - 7.A.1 S(IV) Oxidation by the OH Radical. - 7.A.2 Oxidation of S(IV) by Oxides of Nitrogen. - 7.A.3 Reaction of Dissolved SO2 with HCHO. - Appendix 7.3 Aqueous-Phase Nitrite and Nitrate Chemistry. - 7.A.4 NOx Oxidation. - 7.A.5 Nitrogen Radicals. - Appendix 7.4 Aqueous-Phase Organic Chemistry. - Appendix 7.5 Oxygen and Hydrogen Chemistry. - Problems. - References. - 8 Properties of the Atmospheric Aerosol. - 8.1 The Size Distribution Function. - 8.1.1 The Number Distribution nN(Dp). - 8.1.2 The Surface Area, Volume, and Mass Distributions. - 8.1.3 Distributions Based on In Dp and log Dp. - 8.1.4 Relating Size Distributions Based on Different Independent Variables. - 8.1.5 Properties of Size Distributions. - 8.1.6 The Lognormal Distribution. - 8.1.7 Plotting the Lognormal Distribution. - 8.1.8 Properties of the Lognormal Distribution. - 8.2 Ambient Aerosol Size Distributions. - 8.2.1 Urban Aerosols. - 8.2.2 Marine Aerosols. - 8.2.3 Rural Continental Aerosols. - 8.2.4 Remote Continental Aerosols. - 8.2.5 Free Tropospheric Aerosols. - 8.2.6 Polar Aerosols. - 8.2.7 Desert Aerosols. - 8.3 Aerosol Chemical Composition. - 8.4 Spatial and Temporal Variation. - 8.5 Vertical Variation. - Problems. - References. - 9 Dynamics of Single Aerosol Particles. - 9.1 Continuum and Noncontinuum Dynamics: The Mean Free Path. - 9.2 The Drag on a Single Particle: Stokes' Law. - 9.2.1 Corrections to Stokes' Law: The Drag Coefficient. - 9.2.2 Stokes' Law and Noncontinuum Effects: Slip Correction Factor. - 9.3 Gravitational Settling of an Aerosol Particle. - 9.4 Motion of an Aerosol Particle in an External Force Field. - 9.5 Brownian Motion of Aerosol Particles. - 9.5.1 Particle Diffusion. - 9.5.2 Aerosol Mobility and Drift Velocity. - 9.5.3 Mean Free Path of an Aerosol Particle. - 9.6 Aer

Note: Bremen, Univ., Diss., 2007

Note: Contents Preface 1 Data Analysis in Earth Sciences 1.1 Introduction 1.2 Collecting Data 1.3 Types of Data 1.4 Methods of Data Analysis Recommended Reading 2 Introduction to MATLAB 2.1 MATLAB in Earth Sciences 2.2 Getting Started 2.3 The Syntax 2.4 Data Storage 2.5 Data Handling 2.6 Scripts and Functions 2.7 Basic Visualization Tools Recommended Reading 3 Univariate Statistics 3.1 Introduction 3.2 Empirical Distributions Measures of Central Tendency Measures of Dispersion 3.3 Example of Empirical Distributions 3.4 Theoretical Distributions Uniform Distribution Binomial or Bernoulli Distribution Poisson Distribution Normal or Gaussian Distribution Logarithmic Normal or Log-Normal Distribution Student's t Distribution Fisher's F Distribution Χ2 or Chi-Squared Distribution 3.5 Example ofTheoretical Distributions 3.6 Thet-Test 3.7 TheF-Test 3.8 The Χ2-Test Recommended Reading 4 Bivariate Statistics 4.1 Introduction 4.2 Pearson's Correlation Coefficient 4.3 Classical Linear Regression Analysis and Prediction 4.4 Analyzing the Residuals 4.5 Bootstrap Estimates of the Regression Coefficients 4.6 Jackknife Estimates of the Regression Coefficients 4.7 Cross Validation 4.8 Reduced Major Axis Regression 4.9 Curvilinear Regression Recommended Reading 5 Time-Series Analysis 5.1 Introduction 5.2 Generating Signals 5.3 Blackman-Tukey Autospectral Analysis 5.4 Blackman-Tukey Crossspectral Analysis 5.5 Interpolating and Analyzing Unevenly-Spaced Data 5.6 Evolutionary Blackman-Tukey Powerspectrum 5.7 Lomb-Scargle Powerspectrum 5.8 Wavelet Powerspectrum 5.9 Nonlinear Time-Series Analysis (by N. Marwarn) Phase Space Portrait Recurrence Plots Recommended Reading 6 Signal Processing 6.1 Introduction 6.2 Generating Signals 6.3 Linear Time-Invariant Systems 6.4 Convolution and Filtering 6.5 Comparing Functions for Filtering Data Series 6.6 Recursive and Nonrecursive Filters 6.7 Impulse Response 6.8 Frequency Response 6.9 Filter Design 6.10 Adaptive Filtering Recommended Reading 7 Spatial Data 7.1 Types of Spatial Data 7.2 The GSHHS Shoreline Data Set 7.3 The 2-Minute Gridded Global Elevation Data ETOPO2 7.4 The 30-Arc Seconds Elevation Model GTOPO30 7.5 The Shuttle Radar Topography Mission SRTM 7.6 Gridding and Contouring Background 7.7 Gridding Example 7.8 Comparison of Methods and Potential Artifacts 7.9 Statistics of Point Distributions Test for Uniform Distribution Test for Random Distribution Test for Clustering 7.10 Analysis of Digital Elevation Models (by R. Gebbers) 7.11 Geostatistics and Kriging (by R. Gebbers) Theorical Background Preceding Analysis Variography with the Classical Variogram Kriging Discussion of Kriging Recommended Reading 8 Image Processing 8.1 Introduction 8.2 Datastorage 8.3 Importing, Processing and Exporting Images 8.4 Importing, Processing and Exporting Satellite Images 8.5 Georeferencing Satellite Images 8.6 Digitizing from the Screen Recommended Reading 9 Multivariate Statistics 9.1 Introduction 9.2 Principal Component Analysis 9.3 Independent Component Analysis (by N. Marwan) 9.4 Cluster Analysis Recommended Reading 10 Statistics on Directional Data 10.1 Introduction 10.2 Graphical Representation 10.3 Empirical Distributions 10.4 Theoretical Distributions 10.5 Test for Randomness of Directional Data 10.6 Test for the Significance of a Mean Direction 10.7 Test for the Difference of Two Sets of Directions Recommended Reading General Index

Note: Potsdam, Univ., Habil.-Schr., 2007

Note: Contents: Preface. - 1 Overview. - 1.1 Introduction. - 1.2 Definitions of atmospheric scales. - 1.3 Energy generation and scale interactions. - 1.4 Predictability. - References. - 2 Governing equations for mesoscale motions. - 2.1 Introduction. - 2.2 Derivation of the governing equations. - 2.3 Approximations to the governing equations. - References. - Problems. - 3 Basic wave dynamics. - 3.1 Introduction. - 3.2 Basic wave properties. - 3.3 Soundwaves. - 3.4 Shallow water waves. - 3.5 Pure gravity waves. - 3.6 Inertia-gravity waves. - 3.7 Wave reflection levels. - 3.8 Critical levels. - Appendix 3.1. - References. - Problems. - 4 Mesoscale wave generation and maintenance. - 4.1 Introduction. - 4.2 Wave generation mechanisms. - 4.2.1 Density impulses and moist convection. - 4.2.2 Mesoscale instabilities. - 4.2.3 Geostrophic adjustment. - 4.2.4 Nonlinear interactions. - 4.3 Wave maintenance mechanisms. - 4.3.1 Linear wave ducting mechanism. - 4.3.2 Solitary wave mechanism. - 4.3.3 Wave-CISK mechanism. - 4.4 Energy propagation and momentum flux. - References. - Problems. - 5 Orographically forced flows. - 5.1 Flows over two-dimensional sinusoidal mountains. - 5.2 Flows over two-dimensional isolated mountains. - 5.2.1 Uniform basic flow. - 5.2.2 Basic flow with variable Scorer parameter. - 5.2.3 Trapped lee waves. - 5.3 Nonlinear flows over two-dimensional mountains. - 5.3.1 Nonlinear flow regimes. - 5.3.2 Generation of severe downslope winds. - 5.4 Flows over three-dimensional mountains. - 5.4.1 Linear theory. - 5.4.2 Generation of lee vortices. - 5.5 Flows over larger mesoscale mountains. - 5.5.1 Rotational effects. - 5.5.2 Lee cyclogenesis. - 5.5.3 Orographic influence on cyclone track. - 5.6 Other orographic effects. - 5.6.1 Effects on frontal passage. - 5.6.2 Coastally trapped disturbances. - 5.6.3 Cold-air damming. - 5.6.4 Gap flow. - Appendix 5.1. - References. - Problems. - 6 Thermally forced flows. - 6.1 Two-dimensional flows. - 6.1.1 Steady flows over a sinusoidal heat source. - 6.1.2 Steady flows over an isolated heat source. - 6.2 Transient flows. - 6.2.1 Flow responses to pulse heating. - 6.2.2 Flow responses to steady heating. - 6.3 Applications to mesoscale circulations. - 6.3.1 Density current formation and propagation. - 6.3.2 Heat island circulations. - 6.3.3 Moist convection. - 6.3.4 Gravity wave generation and propagation. - 6.4 Effects of shear, three dimensionality, and rotation. - 6.4.1 Two-dimensional shear flows. - 6.4.2 Three-dimensional nonrotating flows. - 6.4.3 Three-dimensional rotating flows. - 6.5 Dynamics of sea and land breezes. - 6.5.1 Linear theories. - 6.5.2 Nonlinear numerical studies. - 6.6 Dynamics of mountain-plains solenoidal circulations. - Appendix 6.1. - References. - Problems. - 7 Mesoscale instabilities. - 7.1 Wave energy transfer through instabilities. - 7.2 Integral theorems of stratified flow. - 7.2.1 Governing equations. - 7.2.2 Miles' theorem. - 7.2.3 Howard's semicircle theorem. - 7.3 Static, conditional, and potential instabilities. - 7.3.1 Static instability. - 7.3.2 Conditional instability. - 7.3.3 Potential instability. - 7.4 Kelvin-Helmholtz instability. - 7.5 Inertial instability. - 7.6 Symmetric instability. - 7.6.1 Dry symmetric instability. - 7.6.2 Moist symmetric instability. - 7.7 Baroclinic instability. - References. - Problems. - 8 Isolated convective storms. - 8.1 Dynamics of single-cell storms and downbursts. - 8.2 Dynamics of multicell storms. - 8.3 Effects of shear and buoyancy. - 8.3.1 Effects of shear on cold outflow. - 8.3.2 Effects of buoyancy. - 8.4 Dynamics of supercell storms. - 8.4.1 General characteristics. - 8.4.2 Effects of unidirectional shear. - 8.4.3 Storm splitting. - 8.4.4 Storm rotation and propagation. - 8.4.5 Effects of directional shear. - 8.5 Tornado dynamics. - 8.5.1 Supercell tornadogenesis. - 8.5.2 Nonsupercell tornadogenesis. - 8.5.3 Tornado vortex dynamics. - References. - Problems. - 9 Mesoscale convective systems. - 9.1 Squall lines and rainbands. - 9.1.1 Squall line classifications. - 9.1.2 Formation mechanisms. - 9.1.3 Maintenance mechanisms. - 9.1.4 Squall line movement. - 9.1.5 Rainbands. - 9.2 Mesoscale convective complexes. - 9.2.1 General characteristics. - 9.2.2 Formation and development mechanisms. - 9.3 Tropical cyclones. - 9.3.1 General characteristics. - 9.3.2 Tropical cyclogenesis. - 9.3.3 Intensity and mesoscale structure. - 9.3.4 Tropical cyclone movement. - References. - Problems. - 10 Dynamics of fronts and jet streaks. - 10.1 Kinematics of frontogenesis. - 10.2 Dynamics of two-dimensional frontogenesis. - 10.2.1 Geostrophic momentum approximation. - 10.2.2 Frontogenesis and cross-frontal circulations. - 10.3 Frontogenesis and baroclinic waves. - 10.4 Moist and frictional effects on frontogenesis. - 10.5 Other types of fronts. - 10.5.1 Upper-level frontogenesis. - 10.5.2 Drylines. - 10.6 Jet streak dynamics. - 10.6.1 Upper-level jet streaks. - 10.6.2 Low-level jets. - References. - Problems. - 11 Dynamics of orographic precipitation. - 11.1 Orographic influence on climatological distribution of precipitation. - 11.2 Orographic modification of preexisting disturbances. - 11.2.1 Passage of troughs. - 11.2.2 Passage of midlatitude cyclones and fronts. - 11.2.3 Passage of tropical cyclones. - 11.2.4 Common ingredients of orographic precipitation. - 11.3 Formation and enhancement mechanisms. - 11.3.1 Stable ascent mechanism. - 11.3.2 Release of moist instabilities. - 11.3.3 Effects of mountain geometry. - 11.3.4 Combined thermal and orographic forcing. - 11.3.5 Seeder-feeder mechanism. - 11.3.6 Dynamical-microphysical interaction mechanism. - 11.4 Control parameters and moist flow regimes. - 11.4.1 Control parameters. - 11.4.2 Moist flow regimes. - References. - 12 Basic numerical methods. - 12.1 Introduction. - 12.2 Finite difference approximations of derivatives. - 12.3 Finite difference approximations of the advection equation. - 12.3.1 Two-time-level schemes. - 12.3.2 Three-time-level schemes. - 12.4 Implicit schemes. - 12.5 Semi-Lagrangian methods. - Appendix 12.1. - References. - Problems. - Modeling projects. - 13 Numerical modeling of geophysical fluid systems. - 13.1 Grid systems and vertical coordinates. - 13.1.1 Grid systems. - 13.1.2 Vertical coordinates. - 13.2 Boundary conditions. - 13.2.1 Lateral boundary conditions. - 13.2.2 Upper boundary conditions. - 13.2.3 Lower boundary conditions. - 13.3 Initial conditions and data assimilation. - 13.4 Nonlinear aliasing and instability. - 13.5 Modeling a stratified fluid system. - 13.6 Predictability and ensemble forecasting. - References. - Problems. - Modeling project. - 14 Parameterizations of physical processes. - 14.1 Reynolds averaging. - 14.2 Parameterization of planetary boundary layer processes. - 14.2.1 Parameterization of the surface layer. - 14.2.2 Parameterization of the PBL. - 14.3 Parameterization of moist processes. - 14.3.1 Parameterization of microphysical processes. - 14.3.2 Cumulus parameterization. - 14.4 Parameterizations of radiative transfer processes. - 14.4.1 Introduction. - 14.4.2 Longwave radiation. - 14.4.3 Shortwave radiation. - References. - Problems. - Appendices. - A. List of symbols. - B. Nomenclature. - Index.

Note: Contents Preface Part I Anatomy of a cyclone 1 Anatomy of a cyclone 1.1 A 'typical' extra-tropical cyclone 1.2 Describing the atmosphere 1.3 Air masses and fronts 1.4 The structure of a typical extra-tropical cyclone Review questions 2 Mathematical methods in fluid dynamics 2.1 Scalars and vectors 2.2 The algebra of vectors 2.3 Scalar and vector fields 2.4 Coordinate systems on the Earth 2.5 Gradients of vectors 2.6 Line and surface integrals 2.7 Eulerian and Lagrangian frames of reference 2.8 Advection Review questions 3 Properties of fluids 3.1 Solids, liquids, and gases 3.2 Thermodynamic properties of air 3.3 Composition of the atmosphere 3.4 Static stability 3.5 The continuum hypothesis 3.6 Practical assumptions 3.7 Continuity equation Review questions 4 Fundamental forces 4.1 Newton's second law: F=ma 4.2 Body, surface, and line forces 4.3 Forces in an inertial reference frame 4.4 Forces in a rotating reference frame 4.5 The Navier-Stokes equations Review questions 5 Scale analysis 5.1 Dimensional homogeneity 5.2 Scales 5.3 Non-dimensional parameters 5.4 Scale analysis 5.5 The geostrophic approximation Review questions 6 Simple steady motion 6.1 Natural coordinate system 6.2 Balanced flow 6.3 The Boussinesq approximation 6.4 The thermal wind 6.5 Departures from balance Review questions 7 Circulation and vorticity 7.1 Circulation 7.2 Vorticity 7.3 Conservation of potential vorticity 7.4 An introduction to the vorticity equation Review questions 8 Simple wave motions 8.1 Properties of waves 8.2 Perturbation analysis 8.3 Planetary waves Review questions 9 Extra-tropical weather systems 9.1 Fronts 9.2 Frontal cyclones 9.3 Baroclinic instability Review questions Part II Atmospheric phenomena 10 Boundary layers 10.1 Turbulence 10.2 Reynolds decomposition 10.3 Generation of turbulence 10.4 Closure assumptions Review questions 11 Clouds and severe weather 11.1 Moist processes in the atmosphere 11.2 Air mass thunderstorms 11.3 Multi-cell thunderstorms 11.4 Supercell thunderstorms and tornadoes 11.5 Mesoscale convective systems Review questions 12 Tropical weather 12.1 Scales of motion 12.2 Atmospheric oscillations 12.3 Tropical cyclones Review questions 13 Mountain weather 13.1 Internal gravity waves 13.2 Flow over mountains 13.3 Downslope windstorms Review questions 14 Polar weather 14.1 Katabatic winds 14.2 Barrier winds 14.3 Polar lows Review questions 15 Epilogue: the general circulation 15.1 Fueled by the Sun 15.2 Radiative-convective equilibrium 15.3 The zonal mean circulation 15.4 The angular momentum budget 15.5 The energy cycle Appendix A - symbols Appendix Β - constants and units Bibliography Index

Note: Contents: Preface to First Edition. - Preface to Second Edition. - Preface to Third Edition. - Acknowledgments. - Part I The Periglacial Domain. - 1 Introduction. - 1.1 The Periglacial Concept. - 1.2 Disciplinary Considerations. - 1.2.1 The Growth of Geocryology. - 1.2.2 The Changing Nature of Quaternary Science. - 1.2.3 Modern Periglacial Geomorphology. - 1.3 The Growth of Periglacial Knowledge. - 1.4 The Periglacial Domain. - 1.5 The Scope of Periglacial Geomorphology. - 1.5.1 Permafrost-Related Processes and Landforms. - 1.5.2 Azonal Processes and Landforms. - 1.5.3 Paleo-Environmental Reconstruction. - 1.5.4 Applied Periglacial Geomorphology. - Advanced Reading. - Discussion Topics. - 2 Periglacial Landscapes?. - 2.1 Introduction. - 2.2 Proglacial, Paraglacial or Periglacial?. - 2.3 Unglaciated Periglacial Terrain. - 2.3.1 Beaufort Plain, Northwest Banks Island, Arctic Canada. - 2.3.2 Barn Mountains, Northern Interior Yukon Territory, Canada. - 2.4 Relict Periglacial Landscapes. - 2.4.1 Chalk Uplands, Southern England and Northern France. - 2.4.2 Pine Barrens, Southern New Jersey, Eastern USA. - 2.5 Conclusions. - Advanced Reading. - Discussion Topics. - 3 Periglacial Climates. - 3.1 Boundary Conditions. - 3.2 Periglacial Climates. - 3.2.1 High Arctic Climates. - 3.2.2 Continental Climates. - 3.2.3 Qinghai-Xizang (Tibet) Plateau. - 3.2.4 Alpine Climates. - 3.2.5 Climates of Low Annual Temperature Range. - 3.2.6 Antarctica: A Special Case. - 3.3 Ground Climates. - 3.3.1 The n-Factor. - 3.3.2 The Thermal Offset. - 3.4 Periglacial Climates and the Cryosphere. - Advanced Reading. - Discussion Topics. - Part II Present-Day Periglacial Environments. - 4 Cold-Climate Weathering. - 4.1 Introduction. - 4.2 Ground Freezing. - 4.2.1 The Freezing Process. - 4.2.2 Ice Segregation. - 4.2.3 The Frozen Fringe. - 4.2.4 Frost Heave. - 4.3 Freezing and Thawing. - 4.4 The Ground-Temperature Regime. - 4.4.1 The Seasonal Regime. - 4.4.2 Short-Term Fluctuations. - 4.5 Rock (Frost?) Shattering. - 4.5.1 Frost Action and Ice Segregation. - 4.5.2 Frost Weathering Models. - 4.5.3 Insolation Weathering and Thermal Shock. - 4.5.4 Discussion and Perspective. - 4.6 Chemical Weathering. - 4.6.1 General. - 4.6.2 Solution and Karstification. - 4.6.3 Salt Weathering. - 4.7 Cryogenic Weathering. - 4.8 Cryobiological Weathering. - 4.9 Cryopedology. - 4.9.1 Cryosols. - 4.9.2 Soil Micromorphology. - Advanced Reading. - Discussion Topics. - 5 Permafrost. - 5.1 Introduction. - 5.1.1 Definition. - 5.1.2 Moisture and Ice within Permafrost. - 5.2 Thermal and Physical Properties. - 5.2.1 The Geothermal Regime. - 5.2.2 Physical Properties. - 5.2.3 Thermal Properties. - 5.3 How Does Permafrost Aggrade?. - 5.3.1 General Principles. - 5.3.2 The Illisarvik Drained-Lake Experiment. - 5.4 Distribution of Permafrost. - 5.4.1 Latitudinal Permafrost. - 5.4.2 Alpine (Mountain) Permafrost. - 5.4.3 Montane Permafrost of Central Asia and China. - 5.5 Relict Permafrost. - 5.5.1 Sub-Sea Permafrost. - 5.5.2 Relict (Terrestrial) Permafrost. - 5.6 Permafrost Hydrology. - 5.6.1 Aquifers. - 5.6.2 Hydrochemistry. - 5.6.3 Groundwater Icings. - 5.7 Permafrost and Terrain Conditions. - 5.7.1 Relief and Aspect. - 5.7.2 Rock Type. - 5.7.3 Vegetation. - 5.7.4 Snow Cover. - 5.7.5 Fire. - 5.7.6 Lakes and Surface Water Bodies. - 5.8 The Active Layer. - 5.8.1 The Transient Layer. - 5.8.2 The Stefan Equation. - 5.8.3 Active-Layer Thermal Regime. - Advanced Reading. - Discussion Topics. - 6 Surface Features of Permafrost. - 6.1 Introduction. - 6.2 Thermal-Contraction-Crack Polygons. - 6.2.1 Coefficients of Thermal Expansion and Contraction. - 6.2.2 Ice, Sand, and Soil Wedges. - 6.2.3 Development of the Polygon Net. - 6.2.4 Polygon Morphology. - 6.2.5 Controls Over Cracking. - 6.2.6 Climatic Significance. - 6.3 Organic Terrain. - 6.3.1 Palsas. - 6.3.2 Peat Plateaus. - 6.4 Rock Glaciers. - 6.4.1 Creeping Permafrost. - 6.4.2 Types and Distribution. - 6.4.3 Origin. - 6.5 Frost Mounds. - 6.5.1 Perennial-Frost Mounds. - 6.5.2 Hydraulic (Open) System Pingos. - 6.5.3 Hydrostatic (Closed) System Pingos. - 6.5.4 Other Perennial-Frost Mounds. - 6.5.5 Seasonal-Frost Mounds. - 6.5.6 Hydrolaccoliths and Other Frost-Induced Mounds. - 6.6 Active-Layer Phenomena. - 6.6.1 Bedrock Heave. - 6.6.2 Needle Ice. - 6.6.3 Cryoturbation and Frost Heave. - 6.6.4 Frost Sorting. - 6.6.5 Patterned Ground. - Advanced Reading. - Discussion Topics. - 7 Ground lce. - 7.1 Introduction. - 7.2 Classification. - 7.2.1 Pore Ice. - 7.2.2 Segregated Ice. - 7.2.3 Intrusive Ice. - 7.2.4 Vein Ice. - 7.2.5 Other Types of Ice. - 7.3 Ice Distribution. - 7.3.1 Amounts. - 7.3.2 Distribution with Depth. - 7.3.3 Ice in Bedrock. - 7.3.4 Ice in Unconsolidated Sediments. - 7.4 Cryostratigraphy and Cryolithology. - 7.4.1 Cryostructures, Cryotextures, and Cryofacies. - 7.4.2 Epigenetic and Syngenetic Cryostructures. - 7.4.3 Thaw Unconformities. - 7.4.4 Ice Crystallography. - 7.4.5 Ice Geochemistry. - 7.4.6 Cryostratigraphy and Past Environments. - 7.5 Ice Wedges. - 7.5.1 Epigenetic Wedges. - 7.5.2 Syngenetic Wedges. - 7.5.3 Anti-Syngenetic Wedges. - 7.6 Massive Ice and Massive-Icy Bodies. - 7.6.1 Nature and Extent. - 7.6.2 Intra-Sedimental Ice. - 7.6.3 Buried Glacier Ice. - 7.6.4 Other Mechanisms. - Advanced Reading. - Discussion Topics. - 8 Thermokarst. - 8.1 Introduction. - 8.2 Causes of Thermokarst. - 8.2.1 General. - 8.2.2 Specific. - 8.3 Thaw-Related Processes. - 8.3.1 Thermokarst Subsidence. - 8.3.2 Thermal Erosion. - 8.3.3 Other Processes. - 8.4 Thermokarst Sediments and Structures. - 8.4.1 Involuted Sediments. - 8.4.2 Retrogressive-Thaw-Slumps and Debris-Flow Deposits. - 8.4.3 Ice-Wedge Pseudomorphs and Composite-Wedge Casts. - 8.4.4 Ice, Silt, Sand, and Gravel Pseudomorphs. - 8.5 Ice-Wedge Thermokarst Relief. - 8.5.1 Low-Centered Polygons. - 8.5.2 High-Centered Polygons. - 8.5.3 Badland Thermokarst Relief. - 8.6 Thaw Lakes and Depressions. - 8.6.1 Morphology. - 8.6.2 Growth and Drainage. - 8.6.3 Oriented Thaw Lakes. - 8.7 Thermokarst-Affected Terrain. - 8.7.1 The Lowlands of Central and Northern Siberia. - 8.7.2 The Western North American Arctic. - 8.8 Human-Induced Thermokarst. - 8.8.1 Causes. - 8.8.2 Case Studies. - Advanced Reading. - Discussion Topics. - 9 Hillslope Processes and Slope Evolution. - 9.1 Introduction. - 9.2 Slope Morphology. - 9.2.1 The Free-Face Model. - 9.2.2 Rectilinear Debris-Mantled Slopes. - 9.2.3 Convexo-Concavo Debris-Mantled Slopes. - 9.2.4 Pediment-Like Slopes. - 9.2.5 Stepped Profiles. - 9.3 Mass Wasting. - 9.4 Slow Mass-Wasting Processes. - 9.4.1 Solifluction. - 9.4.2 Frost Creep. - 9.4.3 Gelifluction. - 9.4.4 Solifluction Deposits and Phenomena. - 9.5 Rapid Mass Wasting. - 9.5.1 Active-Layer-Detachment Slides. - 9.5.2 Debris Flows, Slushflows, and Avalanches. - 9.5.3 Rockfall. - 9.6 Slopewash. - 9.6.1 Snow-Bank Hydrology. - 9.6.2 Surface and Subsurface Wash. - 9.7 Frozen and Thawing Slopes. - 9.7.1 Permafrost Creep. - 9.7.2 Thermokarst and Thaw Consolidation. - 9.7.3 Stability of Thawing Slopes. - 9.8 Cold-Climate Slope Evolution. - 9.8.1 Cryoplanation. - 9.8.2 Slope Replacement and Richter Denudation Slopes. - 9.8.3 Rapidity of Profile Change. - 9.8.4 Summary. - Advanced Reading. - Discussion Topics. - 10 Azonal Processes and Landforms. - 10.1 Introduction. - 10.2 Fluvial Processes and Landforms. - 10.2.1 Major Rivers. - 10.2.2 Freeze-Up and Break-Up. - 10.2.3 Basin Hydrology. - 10.2.4 Sediment Flow, Surface Transport, and Denudation. - 10.2.5 Fluvio-Thermal Erosion. - 10.2.6 Channel Morphology. - 10.2.7 Valley Asymmetry. - 10.3 Eolian Processes and Sediments. - 10.3.1 Wind Abrasion. - 10.3.2 Wind Deflation. - 10.3.3 Niveo-Eolian Sediments. - 10.3.4 Loess-Like Silt. - 10.3.5 Sand Dunes and San

Note: Oslo, Univ., Diss., 2007

Note: Oslo, Univ., Diss., 2007

Note: Contents: Introduction. - 1. Coastlines as zones of interaction among geological processes, climate change, and socioeconomic development? - Modeling opportunities / J. Harff, W. W. Hay, and D. F. Tetzlaff. - Models describing the driving forces of coastal change and effects of their interrelation. - 2. Postglacial coastal evolution: Ice-ocean-solid Earth interactions in a period of rapid climate change / W. R. Peltier. - 3. Simulation of the Eemian interglacial and possible mechanisms for the glacial inception / F. Kaspar and U. Cubasch. - 4. Predicting seabed change as a function of climate change over the next 50 yr in the Australian southeast / F. Li, C. P. Dyt, C. M. Griffiths, and K. L. McInnes. - 5. Interaction among sedimentation, compaction, and groundwater flow in coastal settings / D. M. Tetzlaff and M.-T. Schafmeister. - Model areas. - The Arctic and the Northern Hemisphere. - 6. The Laptev Sea system since the Last Glacial / H. Kassens, J. Thiede, H. A. Bauch, J. A. Hoelemann, I. Dmitrenko, S. Pivovarov, S. Priamikov, L. Timokhov, and C. Wegner. - 7. The evolution and degradation of coastal and offshore permafrost in the Laptev and Eastern Siberian Seas during the last climatic cycle / P. P. Overduin, H.-W. Hubberten, V. Rachold, N. Romanovskii, M. Grigoriev, and M. Kasymskaya. - 8. Climate and the migration of early peoples into the Americas / R. Hetherington, A. J. Weaver, and Á. Montenegro. - Marginal seas. - 9. The Baltic Sea coast - A model of interrelations among geosphere, climate, and anthroposphere / J. Harff, W. Lemke, R. Lampe, F. Lüth, H. Lübke, M. Meyer, F. Tauber, and U. Schmölcke. - 10. Southern Baltic Sea level oscillations: New radiocarbon, pollen, and diatom evidences of from the Puck Lagoon (Poland) / S. Uscinowicz, J. Zachowicz, G. Miotk-Szpiganowicz, and A. Witkowski. - 11. Modelling Holocene coastal erosion and sediment supply in the western North Sea / J. G. Rees, R. Newsham, and C. D. R. Evans. - 12. A Black Sea lowstand at 8500 yr B.P. indicated by a relict coastal dune system at a depth of 90 m below sea level / G. Lericolais, I. Popescu, F. Guichard, and S. Popescu. - 13. Sinis Peninsula (western Sardinia, Italy) coastal system analysis using hydrodynamic and remote sensing techniques / A. Atzeni, D. Pani, and N. Ibba. - 14. A long-term morphological modeling study on the evolution of the Pearl River Delta, network system, and estuarine bays since 6000 yr B.P. / C. Y. Wu, J. Ren, Y. Bao, Y. P. Lei, and H. Y. Shi. - Index.

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

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

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

Note: Enthaltener Beitrag: Russian-German Cooperation SYSTEM LAPTEV SEA: The Expedition COAST I / edited by Paul Overduin , Enthaltener Beitrag: The Expedition Lena 2005 / edited by Lutz Schirrmeister, Dirk Wagner, Mikhail N. Grigoriev and Dimitry Yu. Bolshiyanov , Enthaltener Beitrag: Russian-German cooperation Yakutsk - Potsdam: the expedition CENTRAL YAKUTIA 2005 / edited by Bernhard Diekmann, Sebastian Wetterich and Frank Kienast , Contents for "Russian-German Cooperation SYSTEM LAPTEV SEA: The Expedition COAST I" The Expedition COAST I 1. Background and Objectives 2. Logistics and Itinerary 3. Field Methods and Sample Recovery 3.1 Coring 3.2 Pore water analyses 3.3 Temperature profiles 4. Sample lists , Contents for "The Expedition Lena 2005" The Expedition Lena 2005 1. Introduction 2. Expedition itinerary and general logistics 3. Microbiological processes, trace gas fluxes and hydrobiology in permafrost ecosystems of the Lena Delta 3.1 Introduction 3.2 Dynamic of methane oxidising communities in permafrost soils 3.2.1 Introduction 3.2.2 Sampling procedure and field parameters 3.2.3 Pore water methane concentration 3.2.4 Sample processing and analyses 3.3 Microbial studies on nitrification from permafrost environments 3.3.1 Introduction 3.3.2 Field experiments: Impact of polygonal soil parameter on nitrification 3.4 Closed chamber measurements of carbon exchange between Arctic tundra and the atmosphere 3.5 Micrometeorological measurements of energy, water, and carbon exchange between Arctic tundra and the atmosphere 3.6 Energy and water budget of permafrost soils – long time meteorology and soil survey station on Samoylov Island 3.7 Isotopic Studies on the 13C-fractionation during CH4-production in polygonal and thermokarst lakes of the Lena Delta 3.7.1 Introduction and methods 3.7.2 Preliminary results and further plans 3.8 Hydrobiological investigations on Samoylov Island 3.8.1 Objectives 3.8.2 Research tasks 3.8.3 Material and methods 3.8.4 Preliminary results 3.9 References 4. Studies of periglacial landscape dynamics and surface characteristics studies in the western Lena Delta 4.1. Scientific background and objectives 4.2. Geological and geographical characteristics 4.3. Studies of oriented lakes and thermokarst depressions 4.3.1 Background 4.3.2 Study area 4.3.3 Topographical and geomorphological settings 4.3.3.1 Depressions 1, 2 and 3 4.3.3.2 Depression 4 4.3.3.3 Depression 5 4.3.4 Bathymetrical surveys 4.3.5 Field sampling 4.4. Characteristics and spectral properties of periglacial landforms 4.4.1 Introduction 4.4.2 Methods 4.4.3 First results 4.5. Studies of permafrost sequences for paleo-environmental reconstruction 4.5.1 The “Arga-Sands” on Turakh Island 4.5.1.1 Exposure Tur-1 4.5.1.2 Core Tur-2 4.5.1.3 Exposure T021 4.5.2 Sand sequences of Ebe Basyn Sise Island 4.5.2.1 Exposure Ebe-4 4.5.2.2 Exposure Ebe-2 4.5.2.3 Exposure Ebe-3 4.5.2.4 Exposure Ebe-5 4.5.3 Sand and Ice Complex sequences of Khardang Island 4.5.3.1 The sand deposits in the exposure Kha-1 4.5.3.2 The sequence Kha-2 4.5.3.3 Exposure Kha-3: large ice wedge and surrounding sediments 4.6 Subsurficial and bathymetrical Ground Penetrating Radar (GPR) Investigations 4.6.1 Subsurface mapping of the Arga sands stratigraphical unit 4.6.1.1 GPR survey configuration 4.6.1.2 Transects at exposure Ebe-4 4.6.1.3 Transects at exposure/borehole Tur-1/Tur-2 4.6.2 Arynskaya Channel bathymetry 4.7 Measuring of local weather and soil conditions by soil probe and weather station 4.8 Palaeontological collection of the “Mammoth” fauna from the museum of the Lena Delta Reserve 4.9 References 4.10 Appendices chapter 4 Appendix 4-1: Field spectrometry – description of measuring points and profiles (see chapter 4.4) Appendix 4-2: List of sediment samples (see chapter 4.5) Appendix 4-3: Modern soil profiles and surface samples Appendix 4-4: List of ground ice and surface water samples Appendix 4-5. Bone collection of the expedition LENA 2005 Appendix 4-6: Bone collection of Lena Delta Reserve Tiksi (see chapter 4.8) 5. Holocene ice wedges of the 1st Lena terrace 5.1 Introduction 5.2 Outcrops 5.2.1 Outcrop 1 5.2.2 Outcrop 2 5.2.3 Geocryolithology on Samoylov Island: General impressions 5.2.4 Outcrop 3 5.2.5 Outcrop 4 5.2.6 Outcrop 5 5.2.7 Outcrop 6 5.2.8 Outcrop 7 5.2.9 Outcrop 8 5.2.10 Outcrop 9 5.2.11 Outcrop 10 5.2.12 Pingo at Olenyekskaya Channel 5.2.13 Summary 5.3 Studies on recent cryogenesis on Samoylov Island 5.4 References 5.5 Appendices chapter 5 Appendix 5-1: Ice sample list Appendix 5-2: List of sediment samples and ice content measurement Appendix 5-3: List of water samples 6. Report of the hydrological work in the Lena River Delta in August 2005 6.1 Introduction 6.2 Methods 6.3 Preliminary results 6.4 Conclusion , Contents for "Russian-German cooperation Yakutsk - Potsdam: the expedition CENTRAL YAKUTIA 2005" Central Yakutia 2005 1. Expedition ‘Verkhoyansk 2005’ • Limnogeological studies at Lake Billyakh, Verkhoyansk Mountains, Yakutia 1.1 Introduction 1.2 Regional Setting of Lake Billyakh 1.3 Itinerary 1.4 Methods 1.4.1 Bathymetric measurements 1.4.2 Water sampling and measurements 1.4.3 Sediment coring 1.5 Results 1.5.1 Bathymetry 1.5.2 Water profiles 1.5.3 Sediment cores 1.6 Outlook 1.7 References 2 Limnological studies in Central and North-east Yakutia in summer 2005 2.1 Introduction 2.2 Study sites and lake types 2.3 Material and methods 2.4 Preliminary results 2.5 Outlook 2.6 References 2.7 Appendices Appendix 2-1: General characteristics and geographical position of the studied lakes in Central and North-east Yakutia Appendix 2-2: Some properties of the studied lakes in Central and North-east Yakutia, obtained during the fieldwork (unfilled table cells imply no data or information) Appendix 2-3: Sample list for further analyses on sediments, hydro-chemistry, water isotopes and aquatic organisms Appendix 2-4: Occurrence of zoobenthos organisms in the sampled Central-Yakutian lakes in July 2005 3. Vegetation studies in extremely continental regions of Yakutia 3.1 Introduction 3.2 Study areas and investigated vegetation types 3.3 Material and methods 3.4 Preliminary results 3.5 Appendix 3-1: Metadata of studied vegetation records

Note: Contents Acknowledgments Chapter 1. Introduction 1.1 Discovery 1.2 General Introduction 1.3 Just for Fun — An Isotope Biography of Mr. Polychaete Chapter 2. Isotope Notation and Measurement Overview 2.1 The Necessary Minimum for Ecologists 2.2 Why Use the 5 Notation? 2.3 Why Is 8 a Good Substitute for % Heavy Isotope? 2.4 8 and the Ratio-of-Ratios 2.5 Chapter Summary Chapter 3. Using Stable Isotope Tracers Overview 3.1 Isotope Circulation in the Biosphere 3.2 Landscape Ecology and Isotope Maps 3.3 Community Ecology and Invasive Species in Food Webs 3.4 Life History Ecology and Animal Migrations 3.5 Plants, Microbes, and Scaling Up 3.6 Chapter Summary Chapter 4. Isotope Chi ("I Chi") Overview 4.1 Chocolate Isotopes 4.2 Oxygen in the Sea 4.3 Equations for Isotope Chi ("I Chi") 4.4 Building an I Chi Gain-Loss Model, Step by Step 4.5 Errors in I Chi Models 4.6 Exact Equations for I Chi Models 4.7 Cows in a Pasture 4.8 Chapter Summary Chapter 5. Mixing Overview 5.1 Isotope Mixing in Food Webs 5.2 Isotope Sourcery 5.3 Mixing Mechanics 5.4 Advanced Mixing Mechanics 5.5 Mixing Assumptions and Errors or the Art and Wisdom of Using Isotope Mixing Models 5.6 River Sulfate and Mass-Weighted Mixing 5.7 A Special Muddy Case and Mixing Through Time 5.8 The Qualquan Chronicles and Mixing Across Landscapes 5.9 Dietary Mixing, Turnover, and a Stable Isotope Clock 5.10 Chapter Summary Chapter 6. Isotope Additions Overview 6.1 Addition Addiction 6.2 The Golden Spike Award for Isotopes 6.3 Chapter Summary Chapter 7. Fractionation Overview 7.1 Fractionation Fundamentals 7.2 Isotopium and Fractionation in Closed Systems 7.3 A Strange and Routine Case 7.4 A Genuine Puzzle — Fractionation or Mixing? 7.5 Cracking the Closed Systems 7.6 Equilibrium Fractionation, Subtle Drama in the Cold 7.7 A Supply/Demand Model for Open System Fractionation 7.8 Open System Fractionation and Evolution of the Earth's Sulfur Cycle 7.9 Open System Legacies 7.10 Conducting Fractionation Experiments 7.11 Chapter Summary Chapter 8. Scanning the Future Overview 8.1 The Isotope Scanner 8.2 Mangrove Maude 8.3 The Beginner's Advantage—Imagine! 8.4 Chapter Summary Appendix. Important Isotope Equations and Useful Conversions Index Supplemental Electronic Materials on the Accompanying CD A. Chapter 1 Color Figures and Cartoon Problems B. Chapter 2 Color Figures and Cartoon Problems Technical Supplement 2A: Measuring Spiked Samples Technical Supplement 2B: Ion Corrections Technical Supplement 2C: The Ratio Notation and The Power of 1 C. Chapter 3 Color Figures and Cartoons Problems D. Chapter 4 Color Figures and Cartoons Problems I Chi Spreadsheets E. Chapters 5 Color Figures and Cartoons Problems I Chi Spreadsheets F. Chapter 6 Color Figure and Cartoon Problems I Chi Spreadsheet Technical Supplement 6A: How Much Isotope Should I Add? Technical Supplement 6B: Noisy Data and Data Analysis with Enriched Samples G. Chapter 7 Color Figures and Cartoons Problems I Chi Spreadsheets Technical Supplement 7A: A Chemist's View of Isotope Effects Technical Supplement 7B: Derivations of Closed System Isotope Equations H. Chapter 8 Color Figures and Cartoons Problems I. All Problems for Chapters 1-8 J. All Answers to Problems for Chapters 1-8 K. All Figures and Cartoons L. All I Chi Spreadsheets M. A Reading List

Note: Contents: 1. Introduction. 2. RC Filter. 3. General linear time invariant systems. 4. The seismometer. 5. The sampling process. 6. Analog-to-digital conversion. 7. From infinitely continuous to finite discrete. 8. The digital anti-alias filter. 9. Inverse and simulation filtering of digital seismograms. 10. The measurement of wavelet parameters from digital seismograms. References. Appendix: Solution to problems.

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.: Bremen, Univ., Diss., 2006

Note: Methodology of Lithium Analytical Chemistry and Isotopic MeasurementsCosmochemistry of Lithium -- Li Partitioning, Diffusion and Associated Isotopic Fractionation: Theoretical and Experimental Insights -- Lithium in the Deep Earth: Mantle and Crustal Systems -- The Surficial Realm: Low Temperature Geochemistry of Lithium..