ALBERT

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

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: Table of Contents: Copyright; Additional copies. - Foreword and acknowledgements. - Chapter 1. Cosmochemistry of the Rare Earth Elements: Condensation and Evaporation Processes / by William V. Boynton. - Introduction. - Meteorites. - Astrophysical context for interpretation of cosmochemical data. - Solar nebula. - Solar abundances. - Cosmochemical properties of the REE. - REE condensation reactions. - Activity coefficients. - Partial pressures. - Solid / gas distribution coefficients. - Why are the REE volatilities so different?. - Calculated REE patterns. - Early condensates. - Removing REE in the gas. - Comparison with meteoritic data. - Ultra-refractory component. - Group II inclusions. - FUN inclusions. - REE condensation as a function of oxygen fugacity. - Rims on CAI. - What have we learned from the REE?. - High temperatures were achieved in the solar nebula. - A very efficient mechanism for gas/dust separation existed in the solar nebula. - The high nebular temperatures existed for a long time. - A very intense, very brief, heat source also existed. - The solar nebula was a chaotic environment. - Summary. - Acknowledgements. - References. - Chapter 2. Radiogenic Isotope Geochemistry of Rare Earth Elements / by P. Jonathan Patchett. - Introduction. - Long-lived radioactive isotopes of Rare Earth Elements. - 138La-138Ce decay. - 147Sm-143Nd decay. - 176Lu-176Hf decay. - Cemical variations of La/Ce, Sm/Nd and Lu/Hf ratios. - Geochronological studies. - La-Ce and Lu-Hf chronology. - Sm-Nd chronology. - Defining bulk planetary isotopic evolution. - Isotopic study of planetary interiors. - The Moon. - The Earth. - Nd isotopes in studies of terrestrial crustal evolution. - Model Nd ages of continental crust. - Growth curves for the continental crust. - Origin of granitoids. - Nd isotopes and the sedimentary system. - Characterization of whole crustal terranes. - Crustal Lu-Hf isotopic studies. - Major unsolved problems. - Continental crustal growth curve. - Abundance of Archean continental crust. - Origin of mantle isotopic variations. - References. - Chapter 3. Partitioning of Rare Earth Elements between Major Silicate Minerals and Basaltic Melts / by Gordon A. McKay. - Introduction. - Usefulness of the REE for petrogenetic modelling. - Scope of this chapter. - Caveat. - How partition coefficients are measured. - Phenocryst/matrix studies of natural samples. - Experimental measurement of partition coefficients. - Basic experimental approach. - Equilibrium. - Percent level doping technique. - Beta-track mapping technique. - Other experimental approaches. - Henry's law: The applicability of percent-level doping results. - Factors governing mineral/melt partitioning. - Ionic size and charge of trace element. - Crystal field effects. - Cristallographic versus defect sites: The Henry's law question. - Phase compositions. - Oxidation state. - Thermodynamic relationships: Dependence of partitioning on temperature and composition. - Other predictive approaches. - Special applications. - Eu as an oxygen fugacity indicator. - Origin of the Eu anomaly in lunar mare basalts. - REE partition coefficient patterns for the major minerals. - Plagioclase. - Olivine. - Pyroxene. - Low-Ca pyroxene. - High-Ca pyroxene. - Garnet. - Future directions. - Acknowledgements. - References. - Chapter 4. An Approach to Trace Element Modeling Using a Simple Igneous System as an Example / by Gilbert N. Hanson. - Introduction. - Review of trace element equations. - Melting. - Fractional crystallization. - Melting versus fractional crystallization. - Essential structural constituents. - Example of petrogenetic approach. - Discussion and summary. - Acknowledgements. - References. - Chapter 5. Rare Earth Elements in Upper Mantle Rocks / by W. F. McDonough and Fredrick A. Frey. - Introduction. - Massive peridotites. - Massive peridotites: dominantly lherzolite Western Alps - Lanzo. - Western Alps -Baldissero, Balmuccia. - Eastern Liguria, Italy. - Western Liguria, Italy. - Eastern Pyrenees - France. - Ronda, Spain Effects of late stage alteration on REE. - What can be inferred about the melting process and the segregated melts?. - Massive peridotites: pyroxenite layers and veins and their wall rocks. - Amphibole-bearing pyroxenite veins. - Anhydrous pyroxenite layers. - How were the pyroxenite layers created? Evidence for multistage processes. - Implications for mantle enrichment processes (metasomatism). - Massive peridotites: dominantly harzburgite. - Oceanic peridotites. - Ultramafic xenoliths. - Group I spinel peridotites. - Garnet peridotites. - Pyroxenite and related xenoliths. - Models for REE abundance trends in peridotite xenoliths. - Megacrysts, minerals in xenoliths and damong inclusions. - Megacrysts. - Minerals in peridotites and pyroxenites. - Inclusions in diamonds. - Summary: comparison of peridotites from massifs and xenoliths and implications of REE data for Upper Mantle composition. - Acknowledgements. - References. - Chapter 6. Rare Earth Elements in Metamorphic Rocks / by Richard I. Grauch. - Introduction. - REE residence in metamorphic rocks. - REE mobility during metamorphism. - REE content of metamorphic rocks. - Suggestions for future work. - Acknowledgements. - References. - Chapter 7. Rare Earth Elements in Sedimentary Rocks: Influence of Provenance and Sedimentary Processes / by Scott M. McLennan. - Introduction. - Rare earth element properties and sedimentary rocks. - Cosmochemical considerations. - Geochemical considerations. - Aqueous geochemistry. - Normalizing and notation. - Sedimentary processes. - Weathering. - Diagenesis. - Sedimentary sorting. - REE and provenance studies. - Sedimentary rocks and crustal abundances. - Sedimentation and plate tectonics. - Archean sedimentary rocks and the Archean crust. - Archean greenstone belts. - REE in sedimentary rocks and crustal evolution. - Acknowledgements. - References. - Chapter 8. Aqueous Geochemistry of Rare Earth Elements / by Douglas G. Brookins. - Introduction. - The trivalent lanthanides (Ln III). - Types of complexes in solution. - Hydrolysis products. - Phosphate complexes. - Carbonate complexes. - Halide complexes. - Complexes with total dissolved sulfur. - Gadolinium-Terbium fractionation?. - Scandium and Yttrium. - Europium (II). - Cerium (IV). - Eh-pH diagrams. - Cerium. - Europium. - Other lanthanides. - Lanthanides in ocean waters. - Lanthanides and actinides. - Concluding remarks. - Acknowledgements. - References. - Chapter 9. Rare Earth Elements in Lunar Materials / by Larry A. Haskin. - Introduction. - The nature of planet moon. - The magma ocean hypothesis and its presumed products. - Lunar REE patterns. - Highland plutonic rocks. - Anorthosites. - Durâtes, troctolites, norites, and gabbros. - Lunar felsite (granite). - Highland volcanic rocks: KREEP. - Mare basalts. - Mare basalt sources as magma ocean products. - Assimilation of crusted material during basalt petrogenesis. - Glassy spherules. - Soils and breccias. - Caveat. - Acknowledgements. - References. - Chapter 10. Compositional and Phase Relations among Rare Earth Element Minerals / by Donald M. Burt. - Introduction. - Geochemical background. - Minerals. - Coupled substitutions. - Vector treatment. - Application to selected mineral groups. - Fluorides. - Carbonates. - Fluorocarbonates. - Monazite, xenotime, zircon, and related phases. - Apatites. - Florencite and related phases. - A-B oxides (niobates, tantalates, titanates, ferrites). - Fergusonitelbetafergusonite, ABO4. - Perovskite, ABO3. - Aeschyniteleuxenite, AB2O6. - Pyrochlore, A1-2B2O6(O,F,OH). - Allanite. - Titanite. - Garnet. - Gadolinite. - Chevkinite/perrierite. - Element distributions: acid-base relations. - Summary. - Acknowledgemen

Note: J. B. Dawson, D. A. Carswell, J. Hall, and K.H. Wedepohl: Introduction / Geological Society, London, Special Publications, 24:vii-viii, doi:10.1144/GSL.SP.1986.024.01.01 --- R. Meissner: Twenty years of deep seismic reflection profiling in Germany—a contribution to our knowledge of the nature of the lower Variscan crust / Geological Society, London, Special Publications, 24:1-10, doi:10.1144/GSL.SP.1986.024.01.02 --- D. H. Matthews: Seismic reflections from the lower crust around Britain / Geological Society, London, Special Publications, 24:11-21, doi:10.1144/GSL.SP.1986.024.01.03 --- S. B. Smithson: A physical model of the lower crust from North America based on seismic reflection data / Geological Society, London, Special Publications, 24:23-34, doi:10.1144/GSL.SP.1986.024.01.04 --- V. Haak and R. Hutton: Electrical resistivity in continental lower crust / Geological Society, London, Special Publications, 24:35-49, doi:10.1144/GSL.SP.1986.024.01.05 --- J. Hall: The physical properties of layered rocks in deep continental crust / Geological Society, London, Special Publications, 24:51-62, doi:10.1144/GSL.SP.1986.024.01.06 --- D. S. Chapman: Thermal gradients in the continental crust / Geological Society, London, Special Publications, 24:63-70, doi:10.1144/GSL.SP.1986.024.01.07 --- J. F. Dewey: Diversity in the lower continental crust / Geological Society, London, Special Publications, 24:71-78, doi:10.1144/GSL.SP.1986.024.01.08 --- N. J. Kusznir and R. G. Park: Continental lithosphere strength: the critical role of lower crustal deformation / Geological Society, London, Special Publications, 24:79-93, doi:10.1144/GSL.SP.1986.024.01.09 --- K. Weber: Metamorphism and crustal rheology—implications for the structural development of the continental crust during prograde metamorphism / Geological Society, London, Special Publications, 24:95-106, doi:10.1144/GSL.SP.1986.024.01.10 --- S. A. F. Murrell: The role of deformation, heat, and thermal processes in the formation of the lower continental crust / Geological Society, London, Special Publications, 24:107-117, doi:10.1144/GSL.SP.1986.024.01.11 --- K. Fuchs: Intraplate seismicity induced by stress concentration at crustal heterogeneities—the Hohenzollern Graben, a case history / Geological Society, London, Special Publications, 24:119-132, doi:10.1144/GSL.SP.1986.024.01.12 --- K. Lambeck: Crustal structure and evolution of the central Australian basins / Geological Society, London, Special Publications, 24:133-145, doi:10.1144/GSL.SP.1986.024.01.13 --- R. W. Kay and S. M. Kay: Petrology and geochemistry of the lower continental crust: an overview / Geological Society, London, Special Publications, 24:147-159, doi:10.1144/GSL.SP.1986.024.01.14 --- J. Touret: Fluid inclusions in rocks from the lower continental crust / Geological Society, London, Special Publications, 24:161-172, doi:10.1144/GSL.SP.1986.024.01.15 --- S. R. Taylor and S.M. McLennan: The chemical composition of the Archaean crust / Geological Society, London, Special Publications, 24:173-178, doi:10.1144/GSL.SP.1986.024.01.16 --- R. L. Rudnick and S. R. Taylor: Geochemical constraints on the origin of Archaean tonalitic-trondhjemitic rocks and implications for lower crustal composition / Geological Society, London, Special Publications, 24:179-191, doi:10.1144/GSL.SP.1986.024.01.17 --- D. A. Carswell and S.J. Cuthbert: Eclogite facies metamorphism in the lower continental crust / Geological Society, London, Special Publications, 24:193-209, doi:10.1144/GSL.SP.1986.024.01.18 --- S. Moorbath and P.N. Taylor: Geochronology and related isotope geochemistry of high-grade metamorphic rocks from the lower continental crust / Geological Society, London, Special Publications, 24:211-220, doi:10.1144/GSL.SP.1986.024.01.19 --- B. F. Windley and J. Tarney: The structural evolution of the lower crust of orogenic belts, present and past / Geological Society, London, Special Publications, 24:221-230, doi:10.1144/GSL.SP.1986.024.01.20 --- C. Pin and J. D. Sills: Petrogenesis of layered gabbros and ultramafic rocks from Val Sesia, the Ivrea Zone, NW Italy: trace element and isotope geochemistry / Geological Society, London, Special Publications, 24:231-249, doi:10.1144/GSL.SP.1986.024.01.21 --- S. Robertson: Evolution of the late Archaean lower continental crust in southern West Greenland / Geological Society, London, Special Publications, 24:251-260, doi:10.1144/GSL.SP.1986.024.01.22 --- L. Schiøtte, D. Bridgwater, K.D. Collerson, A.P. Nutman, and A.B. Ryan: Chemical and isotopic effects of late Archaean high-grade metamorphism and granite injection on early Archaean gneisses, Saglek-Hebron, northern Labrador / Geological Society, London, Special Publications, 24:261-273, doi:10.1144/GSL.SP.1986.024.01.23 --- D. M. Shaw, J. J. Cramer, M. D. Higgins, and M. G. Truscott: Composition of the Canadian Precambrian shield and the continental crust of the earth / Geological Society, London, Special Publications, 24:275-282, doi:10.1144/GSL.SP.1986.024.01.24 --- M. Raith and P. Raase: High grade metamorphism in the granulite belt of Finnish Lapland / Geological Society, London, Special Publications, 24:283-295, doi:10.1144/GSL.SP.1986.024.01.25 --- R. C. Newton and E.C. Hansen: The South India-Sri Lanka high-grade terrain as a possible deep-crust section / Geological Society, London, Special Publications, 24:297-307, doi:10.1144/GSL.SP.1986.024.01.26 --- H.-G. Stosch, G. W. Lugmair, and H.A. Seck: Geochemistry of granulite-facies lower crustal xenoliths: implications for the geological history of the lower continental crust below the Eifel, West Germany / Geological Society, London, Special Publications, 24:309-317, doi:10.1144/GSL.SP.1986.024.01.27 --- H. Downes and A. Leyreloup: Granulitic xenoliths from the French Massif Central—petrology, Sr and Nd isotope systematics and model age estimates / Geological Society, London, Special Publications, 24:319-330, doi:10.1144/GSL.SP.1986.024.01.28 --- J. R. Broadhurst: Mineral reactions in xenoliths from the Colorado Plateau; implications for lower crustal conditions and fluid composition / Geological Society, London, Special Publications, 24:331-349, doi:10.1144/GSL.SP.1986.024.01.29 --- P. W. C. van Calsteren, N. B. W. Harris, C. J. Hawkesworth, M. A. Menzies, and N. W. Rogers: Xenoliths from southern Africa: a perspective on the lower crust / Geological Society, London, Special Publications, 24:351-362, doi:10.1144/GSL.SP.1986.024.01.30 --- W. L. Griffin and S. Y. O’Reilly: The lower crust in eastern Australia: xenolith evidence / Geological Society, London, Special Publications, 24:363-374, doi:10.1144/GSL.SP.1986.024.01.31

Note: Inhalt = Content 1. Vorwort = Introduction 2. Ausgewählte Forschungsthemen = Selected research topics Rinnen im Meereis: Heizung für die Atmosphäre? = Leads in Sea Ice: Heating the Atmosphere? / Christof Lüpkes, Vladimir Gryanik, Anna Barbara Herold, Gerit Birnbaum, Ulrike Wacker, Jörg Hartmann Die polaren Ozeane vor dem Hintergrund der Klimaänderung – Ein Vergleich = The Polar Oceans in the context of climate change – commons and contrasts / Eberhard Fahrbach, Christian Haas und Ursula Schauer Wissenschaftliches Rechnen und Ozeanographie für das Krisenmanagement: Der Beitrag des Alfred-Wegener-Instituts zum Deutsch-Indonesischen Tsunami-Frühwarnsystem = Scientific computing and oceanography for hazard management: The contribution of the Alfred Wegener Institute to the German-Indonesian Tsunami Early Warning System / Jörn Behrens, Wolfgang Hiller, Jens Schröter Klimaarchiv Eis – Das European Project for Ice Coring in Antarctica (EPICA) = Climate archive in ice - the European Project for Ice Coring in Antarctica (EPICA) / Hubertus Fischer, Frank Wilhelms, Sepp Kipfstuhl, Hans Oerter, Hanno Meyer, Peter Köhler, Rainer Gersonde & Heinz Miller Schwarzschiefer vom Nordpol entschlüsseln Klimageschichte: Der Arktische Ozean war vor 45 Millionen Jahren so warm wie die Ostsee heute = Black shales near the North Pole decipher climate history: The Arctic Ocean at 45 Ma was as warm as the modern Baltic Sea / Ruediger Stein, Petra Weller, Bettina Boucsein und Jens Matthiessen Leben auf dem Mars? Methan-bildende Mikroorganismen aus sibirischen Permafrost-böden als Studienobjekte = Life on Mars? Methane-forming micro-organisms from Siberian permafrost soils as study objects / Dirk Wagner und Daria Morozova Seeelefanten helfen Südozeanmodellierern = Elephant Seals help validate Finite Element Ice-Ocean Model / Ralph Timmermann Neuigkeiten in der Krillforschung: Licht kontrolliert Lebensfunktionen des Krills = News in Krill research: Light controls life functions of krill / Mathias Teschke, Bettina Meyer, Carsten Pape, Susanne Spahic Wie wird man 400 Jahre alt? Altersvorsorge der Islandmuschel (Arctica islandica) = Living 400 years – what is the secret of the ocean quahog (Arctica islandica)? / Doris Abele, Eva Philipp, Julia Strahl, Thomas Brey Langzeitforschung auf Helgoland und Sylt: Ein Finger am Puls der Nordsee = Long-Term Ecological Research at Helgoland and Sylt: Keeping a Finger at the Pulse of the North Sea / Justus E.E. van Beusekom, Maarten Boersma, Karsten Reise and Karen H. Wiltshire 3. Forschung = Research MARCOPOLI 3.1 MARINE 3.2 COAST 3.3 POLAR 3.4 Neue Themen = Additional funding 4. Helmholtz-Nachwuchsgruppen = Helmholtz Young Investigator Groups 5. Entwicklungen in den Fachbereichen = Progresses in the Scientific Divisions 6. Neue Technologien = New technologies 7. Logistik und Forschungsplattformen = Logistics and research platforms 8. Nationale und internationale Zusammenarbeit = National and international cooperation 9. Mariner Umweltschutz = Marine environmental protection 10. Wissenschaftliches Rechenzentrum = Scientific data processing centre 11. Bibliothek = Library 12. Technologietransfer = Technology transfer 13. Presse- und Öffentlichkeitsarbeit = Public relations department 14. Schulprojekt = School project 15. Personeller Aufbau und Haushaltsentwicklung = Personnel structure and budget trends 16. Veröffentlichungen, Patente = Publications, patents Anhang = Annex , Text in deutscher und englischer Sprache

Note: Oslo, Univ., Diss., 2007

Note: Oslo, Univ., Diss., 2007

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

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: Chapter 1. Rate Laws of Chemical Reactions by Antonio C. Lasaga, p. 1 - 68 Chapter 2. Dynamic Treatment of Geochemical Cycles: Global Kinetics by Antonio C. Lasaga, p. 69 - 110 Chapter 3. Kinetics of Weathering and Diagenesis by Robert A. Berner, p. 111 - 134 Chapter 4. Transition State Theory by Antonio C. Lasaga, p. 135 - 170 Chapter 5. Irreversible Thermodynamics in Petrology by George W. Fisher and Antonio C. Lasaga, p. 171 - 210 Chapter 6. Diffusion in Electrolyte Mixtures by David E. Anderson, p. 211 - 260 Chapter 7. The Atomistic Basis of Kinetics: Defects in Minerals by Antonio C. Lasaga, p. 261 - 320 Chapter 8. Kinetics of Crystallization of Igneous Rocks by R. James Kirkpatrick, p. 321 - 398

Note: Teilweise in deutscher, englischer, französischer, russischer und spanischer Sprache

Note: Contents Part I: Mafic rocks Introduction: Magmatic deposits associated with mafic rocks / A. J. Naldrett Sulfide melts: crystallization temperatures, solubilities in silicate melts, and Fe, Ni, and Cu partitioning between basaltic magmas and olivine / A. J. Naldrett Vapor associated with mafic magma and controls on its composition / E. A. Mathez Geochemistry of platinum-group elements in mafic and ultramafic rocks / E. A. Mathez & C. L. Peach Komatite-associated nickel sulfide deposits / C.M. Lesher Ores associated with flood basalts / A. J. Naldrett Contamination and the origin of the sudbury structure and its ores / A. J. Naldrett Stratiform PGE deposits in layered intrusions / A. J. Naldrett Interactions involving fluids in the stillwater and bushveld complexes: observations from the rocks / E. A. Mathez Part II: Silicic rocks Introduction: Ore deposits associated with silicic rocks / J.A. Whitney Origin and evolution of silicic magmas / J.A. Whitney Magmatic ore-forming fluids: Thermodynamic and mass-transfer calculations of metal concentrations / P.A. Candela Felsic magmas, volatiles, and metallogenesis / P.A. Candela Granitoid textures, compositions, and volatile fugacities associated with the formation of Tungsten-dominated skarn deposits / J.D. Keith, W. van Middelaar, A. H. Clark, & C. J. Hodgson