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  • 1
    Call number: AWI A5-09-0035
    Description / Table of Contents: Den untersten Teil der Erdatmosphäre, der von der Erdoberfläche direkt beeinflusst wird, nennt man die Atmosphärische Grenzschicht. Sie gehört zur unmittelbaren Umwelt der meisten Lebewesen (Mensch, Tier, Pflanzenwelt) und erhält dadurch und durch viele ihr eigene Prozesse und Eigenschaften eine besondere Bedeutung. Deshalb hat sich auch ein eigenes Teilgebiet der Meteorologie, die Grenzschicht-Meteorologie, entwickelt. Dieses Buch stellt die wesentlichen Grundlagen dieser Disziplin zusammen und erläutert sie. Dabei stehen einerseits physikalische Gesetze der Hydrodynamik (z. B. der Turbulenz) und der Thermodynamik, andererseits die stark interdisziplinär ausgerichtete Mikrometeorologie bzw. Mikroklimatologie im Vordergrund des Interesses. Dieses Buch möchte Leser ansprechen, die an der Meteorologie und vor allem an der bodennahen Atmosphäre interessiert sind. Darüber hinaus wendet es sich an alle, die sich mit der Wechselwirkung zwischen Erdoberfläche und Atmosphäre auseinandersetzen, z. B. an Geographen, Bodenkundler und Pflanzenökologen.
    Type of Medium: Monograph available for loan
    Pages: IX, 211 S. : Ill., graph. Darst.
    ISBN: 978-3-540-75980-5
    Language: German
    Note: Inhaltsverzeichnis: TEIL I - PHYSIK DER ATMOSPHÄRISCHEN GRENZSCHICHT. - 1 Der Grenzschicht-Begriff. - 1.1 Die Atmosphärische Grenzschicht, der unterste Teil der Troposphäre. - 1.2 Der Grenzschicht-Begriff in der allgemeinen Strömungslehre. - 1.3 Anwendung der Bewegungsgleichung. - 1.4 Gedanklicher Übergang zur Atmosphärischen Grenzschicht. - 1.5 Skalenanalyse. - 1.5.1 Beispiel 1: Thermische Diffusion bei vorgegebener charakteristischer Länge. - 1.5.2 Beispiel 2: Höhe einer stationären Laborgrenzschicht. - 1.5.3 Beispiel 3: Höhe einer stationären Atmosphärischen Grenzschicht. - 1.6 Dimensionsanalyse. - 1.7 Unterschiedliche Definitionen der Grenzschichthöhe aus dem Profilverlauf. - 1.8 Typen der Atmosphärischen Grenzschicht. - 2 Flussdichten. - 2.1 Turbulenz. - 2.2 Formulierung von Flussdichten. - 2.2.1 Die transportierte Eigenschaft ist ein Skalar. - 2.2.2 Die transportierte Eigenschaft ist die Komponente eines Vektors. - 2.2.3 Der molekulare Impulstransport. - 3 Die hydrodynamischen Grundgleichungen. - 3.1 Die Komponentenschreibweise. - 3.2 Die Kontinuitätsgleichung. - 3.3 Die Gasgleichung. - 3.4 Skalenanalyse von mit Fluktuationsgrößen gebildeten Termen. - 3.5 Die Bewegungsgleichung. - 3.6 Die Haushaltsgleichungen für die fühlbare Wärme und den Wasserdampf. - 3.7 Die Randbedingungen. - 4 Haushaltsgleichungen von Größen, die dieTurbulenz beschreiben. - 4.1 Die Haushaltsgleichung für die turbulente kinetische Energie. - 4.2 Weitere Gleichungen fur kinetische Energien. - 4.3 Allgemeines über Haushaltsgleichungen für Momente zweiter Ordnung. - 4.4 Spektraler Transfer. - 4.5 Quantitative Beispiele. - 5 Die Parametrisierung. - 5.1 Das Problem. - 5.2 Die Schließung erster Ordnung. - 5.2.1 Der K-Ansatz und die Theorie des Mischungsweges. - 5.2.2 Der Differenzen-Ansatz. - 5.3 Schließungen höherer Ordnung. - 6 Dynamik der Ekman-Schicht. - 6.1 Die Ekman-Spirale in der Atmosphäre. - 6.1.1 Die Ekman-Gleichungen. - 6.1.2 Lösung der Ekman-Gleichungen mit KM = const. - 6.1.3 Lösung der Ekman-Gleichungen mit höhenabhängigem KM. - 6.1.4 Darstellung und Interpretation der Lösungen. - 6.2 Die vertikale Struktur der Atmosphärischen Grenzschicht. - 6.2.1 Die Höhe der Prandtl-Schicht. - 6.2.2 Die Höhe der dynamischen Grenzschicht. - 6.2.3 Das Gesamtbild der Struktur der horizontal homogenen dynamischen Grenzschicht. - 6.3 Die Ekman-Spirale im Ozean. - 7 Die Prandtl-Schicht. - 7.1 Das logarithmische Windprofil bei neutraler Schichtung. - 7.2 Überlegungen zum diabatischen Windprofil. - 7.3 Stabilitätsbetrachtungen. - 7.4 Das Turbulenzkriterium von L.F. Richardson. - 7.5 Die Ähnlichkeitstheorie von Monin und Obukhov. - 7.6 Das aus der Ähnlichkeitstheorie folgende Windprofil. - 7.7 Allgemeine Formulierung der Profilbeziehungen. - 7.8 Die Bestimmung der Funktionen φ (ζ) und j (ζ). - 7.9 Die Bulk-Transportkoeffizienten oder -widerstände. - 7.10 Weitere Gesetzmäßigkeiten der Prandtl-Schicht. - 8 Die Rossby-Zahl-Ähnlichkeitstheorie. - 8.1 Grundlagen. - 8.2 Die Widerstandsgesetze der AGS. - 8.3 Einfache Modelle für die gesamte AGS. - 9 Die konvektive Grenzschicht. - 9.1 Einordnung in die Grundtypen der AGS. - 9.2 Ähnlichkeitsbetrachtungen. - 9.3 Die beobachtete Struktur der konvektiven Grenzschicht. - 9.4 Konzeptionelle Modelle. - 9.4.1 Die Grundstruktur der konvektiven Grenzschicht. - 9.4.2 Die trockene konvektive Grenzschicht. - 9.4.3 Die konvektive Grenzschicht mit Wolken (feuchte CBL). - 10 Die stabile Grenzschicht. - 10.1 Das Phänomen. - 10.2 Der nächtliche Grenzschicht-Strahlstrom. - TEIL II - MIKROMETEOROLOGIE. - 11 Die Energiebilanz an der Erdoberfläche. - 11.1 Die Strahlungsbilanz. - 11.2 Der Bodenwärmestrom. - 11.3 Die Energiebilanzterme über wirklichen Oberflächen. - 11.4 Zusammenhänge zwischen den Energiebilanztermen. - 11.5 Messung der Energiebilanzterme. - 11.6 Beispiele. - 12 Mikroklimate. - 12.1 Definition. - 12.2 Beispiele. - 12.3 Interne Grenzschichten. - 13 Das Bestandsklima. - 13.1 Eigenschaften einer Vegetationsdecke. - 13.2 Die Verdunstung. - 13.2.1 Photosynthese und Respiration. - 13.2.2 Die potentielle Verdunstung. - 13.2.3 Die aktuelle Verdunstung. - 13.3 Boden-Vegetation-Atmosphäre-Wechselwirkung (SVAT). - 14 Mikrometeorologie über Schnee- und Eisoberflächen. - 14.1 Problematik und einige Phänomene. - 14.2 Freie und bedeckte Ablation. - 14.2.1 Grundlagen für ein einfaches Modell. - 14.2.2 Freie Ablation. - 14.2.3 Bedeckte Ablation. - 14.2.4 Ablationsdiagramme. - Anhang - Zur Geschichte der Grenzschicht-Meteorologie. - Literaturverzeichnis. - Sachverzeichnis.
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  • 2
    Monograph available for loan
    Monograph available for loan
    Berlin [u.a.] : Springer
    Associated volumes
    Call number: AWI A4-13-0079
    In: Springer Praxis books in geophysical sciences
    Description / Table of Contents: Contents: Preface to the first edition. - Preface to the second editon. - List of figures. - List of tables. - List of symbols. - List of abbreviations. - 1 Introduction. - 2 Drift ice material. - 2.1 Sea ice cover. - 2.2 Ice floes to drift ice particles. - 2.3 Sea ice growth and melting. - 2.4 Ice thickness distribution. - 2.5 Sea ice ridges. - 2.6 Drift ice state. - 3 Ice kinematics. - 3.1 Description of ice velocity field. - 3.2 Observations. - 3.3 Stochastic modelling. - 3.4 Conservation of ice. - 4 Sea ice rheology. - 4.1 General. - 4.2 Viscous laws. - 4.3 Plastic laws. - 4.4 Granular floe collision models. - 4.5 Scaling of ice strength. - 5 Equation of drift ice motion. - 5.1 Derivation of the equation of motion. - 5.2 Atmospheric and oceanic boundary layers. - 5.3 Sea ice-ocean interaction. - 5.4 Scale analysis. - 5.5 Dynamics of a single ice floe. - 6 Free drift. - 6.1 Steady state solution. - 6.2 Non-steady case. - 6.3 Linear coupled ice-ocean model. - 6.4 Frequency spectrum of free drift. - 6.5 Spatial aspects of free drift. - 7 Drift in the presence of internal friction. - 7.1 The role of internal friction. - 7.2 Channel flow of sea ice. - 7.3 Ice drift along coastal boundary. - 7.4 Zonal sea ice drift. - 7.5 Modelling of ice tank experiments. - 7.6 Timespace scaling of ice drift. - 8 Numerical modelling. - 8.1 Numerical solutions. - 8.2 Examples of sea ice dynamics models. - 8.3 Short-term modelling applications. - 8.4 Oil spills in ice conditions. - 8.5 Climate models. - 9 Use and need of knowledge on ice drift. - 9.1 Science. - 9.2 Practice. - 9.3 Final comments. - 10 Study problems. - 10.1 Problems. - 10.2 Instructions and solutions. - 11 References. - Index.
    Description / Table of Contents: This new edition of The drift of sea ice brings the theory, observations and practical applications of research into sea ice drift completely up to date, taking in to account and discussing the many new scientific results which have been published, in particular connected with thermodynamics, ice-ocean interaction, scaling, and numerical model applications in short-term and climate forecasting. This revised and expanded text presents the geophysical theory, observations from field programs, mathematical modelling techniques, and applications of sea ice drift science. It shows how the fundamental laws of sea ice drift come from the material properties of sea ice and the basic laws of mechanics. The book provides detailed analytical modelling and mathematical models and presents the construction of numerical ice drift models. The drift of sea ice gives a collection of worked examples on sea ice dynamics; details the derivation of the fundamental laws of sea ice dynamics in an understandable form; teaches methods for local and regional ice forecasting for ice engineering applications; analyses the system of equations for the general properties of sea ice drift and the derivation of the free drift model and analytical models for ice drift in the presence of internal friction; makes an excellant source book for climate research concerning the role of sea ice dynamics in the global climate.
    Type of Medium: Monograph available for loan
    Pages: XXX, 347 Seiten , Illustrationen
    Edition: 2. Aufl., Softcover reprint of hardcover 2011
    ISBN: 9783642267574
    Series Statement: Springer Praxis books in geophysical sciences
    Language: English
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  • 3
    Call number: AWI G3-17-90622
    In: Lecture Notes in Earth Sciences, 118
    Type of Medium: Monograph available for loan
    Pages: XXIX, 387 S. , Ill., graph. Darst., Kt. , 24 cm
    ISBN: 9783642002878 (GB.) , 9783642002885 (electronic)
    Series Statement: Lecture notes in earth sciences 118
    Language: English
    Note: Contents: PART I GEOLOGICAL AND PALEOECOLOGICAL EVENTS OF THE LATE PLEISTOCENE AND HOLOCENE IN NORTHERN EURASIA. - 1 Geological and Paleoecological Events of the Late Pleistocene along Eurasian Coastal Areas of the Arctic Ocean. - General Upper Pleistocene Stratigraphie Scheme for Northern Eurasia. - Duration of the Mikulino Interglaciation. - Correlation of the Natural Events Correlative with MIS 5d-5a in Northern West Europe and Northwestern Russia. - 2 Late Pleistocene Geologic-Paleoecological Events in the North of European Russia. - Relationship between Land and Sea Areas during the Mikulino Interglacial in Northern Eurasia. - Genetic Types of Continental Sediments. - Marine Sediments of the Boreal Transgression in the North of European Russia. - 3 Main Geologic-Paieoecoioglcal Events of the Late Pleistocene in the North of Western Siberia. - 4 Geologic-Paleoecological Events of the late Pleistocene in the Northern-Siberian Lowland and Taimyr Peninsula. - 5 The Late Glacial Time and Holocene of Northern Eurasia. - 6 Outlines of the Late Pleistocene and Holocene History of the East Arctic Seas. - 7 The Deglaciation Time and Holocene of Northern Eurasia. - PART II MARINE SEDIMENTATION IN THE ARCTIC OCEAN AND SUBARCTIC SEAS. - 8 The Seas of West Subarctic Region. - Geologic and Oceanographic Setting. - History of Sedimentation. - History of Sedimentation Rates. - History of Sedimentation on the Vøring Plateau During the Last 25 ka. - History of Sedimentation at the Continental Margin of Eastern and South-Eastern Greenland During the Last 130 ka. - 9 The Arctic Ocean. - Recent Environment. - Morphostructure, Oceanographic and Sea-Ice Setting, Recent Sediments and Their Mineral Composition. - Facies Variations of Holocene Sediments on the Yermak Plateau (According to Study Data of 〉 63 mkm Fraction). - History of Sedimentation. - History of Sedimentation Rates During the Last 130 ka. - History of Sedimentation on the Yermak Plateau During the Last 190 ka. - Organic-Geochemical Sediment Studies of the Eastern Part of the Central Arctic. - 10 The Western Arctic Seas. - Recent Sedimentation Environment. - The Barents Sea. - The Kara Sea. - Surface Sediments of the Pechora Sea. - Surface Sediments of St. Anna Trough. - Facies Zonality of Surface Sediments in the Eastern Kara Sea. - History of Sedimentation. - Late- and Post-Glacial History of Sedimentation in the Eastern Part of the Barents Sea. - Holocene Sedimentation History in the Southern Novaya Zemlya Trough. - History of Sedimentation in the Pechora Sea During the Late Pleistocene and Holocene. - Light Fraction Mineralogy of the Upper Quaternary Sediments from the Saint Anna Trough and Its Paleoceanographic Interpretation. - Holocene History of Yenisei River Discharge. - Holocene History of Ob River Discharge. - 11 Eastern Arctic Seas. - Recent Sedimentation Environment. - The Laptev Sea. - The East Siberian Sea. - The Chukchi Sea. - History of Sedimentation. - History of Sedimentation in the Laptev Sea During the Late Weichselian to Holocene by Geophysical and Geochemical Data. - Holocene History of the Lena and Other Rivers Discharge in the Laptev Sea. - Organic Geochemical Data About Sedimentation History Along the Continental Slope of the East Siberian Sea During the Last Climatic Cycle. - Preliminary Data About Accumulation of Diatom-Bearing Clayey Silts at the Chukchi Sea Shelf. - 12 Seas of the Eastern Subarctic. - Recent Sedimentation Environment. - History of Sedimentation. - History of Sedimentation in the Deep-Water Part of the Shirshov Ridge (Bering Sea) During the Last Three Marine-Isotope Stages. - History of Sedimentation in the Northern Sea of Okhotsk During the Last 1.1 Ma. - PART III THE LATE PLEISTOCENE PALEOGEOGRAPHIC EVENTS OF NORTHERN EURASIA AND HISTORY OF SEDIMENTATION IN THE SUBARCTIC SEAS AND THE ARCTIC OCEAN IN RELATION TO THE NORTHERN HEMISPHERE GLACIATION DURING THE LAST CLIMATIC CYCLE. - 13 Characteristic Features of the Mikulino Landscapes. - 14 Results of Paleoclimate Studies. - 15 Particularities of Sedimentation Processes Within the Continental Blocks and Marine Basins. - Deglaciation Peculiarities. - Facies Variability during Glaciations, Deglaciations, Interglacials. - Geological History of the Arctic Ocean Sea Ice during the Last 60 ka. - Intercoupling of Atmo-, Hydro-, Cryo-, Bio-, and Lithospheres. - References. - Index.
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  • 4
    Monograph available for loan
    Monograph available for loan
    Berlin [u.a.] : Springer
    Call number: AWI A5-17-90872
    Type of Medium: Monograph available for loan
    Pages: VII, 211 S. , Ill., graph. Darst., Kt.
    ISBN: 3540578951
    Language: German
    Note: Inhaltsverzeichnis: 1 Die Einstrahlung von Sonnenergie. - 2 Der Wasserdampf in der Atmosphäre. - Luftfeuchte. - Kondensation. - 3 Vertikalbewegung der Luft und Temperaturänderung. - 4 Der Alpenföhn. - 5 Wolkenbildung. - Schichtwolken. - Nebel, Smog und Glatteis. - 6 Die vertikale Temperaturschichtung. - 7 Gewitter. - 8 Niederschlag. - 9 Die Wettersphäre als Teil der Atmosphäre. - 10 Lufdruck und Wind. - 11 Thermisch bedingte Winde. - Land-Seewind-Mechanismus. - Berg-Talwind-Mechanismus. - Das Flurwind-Phänomen (Stadteinfluß). - 12 Isobaren - der Luftdruck in der Wetterkarte. - 13 Corioliskraft und Windrichtung. - 14 Die planetarischen Windsysteme. - Tropische Zirkulation. - Außertropische Zirkulation. - 15 Hoch- und Tiefdruckgebiete. - Entstehung. - Abschwächung. - 16 Wettereinfluß von Hoch- und Tiefdruckgebieten. - Was die Isobaren verraten. - Vertikal- und Horizontalzirkulation im Bereich von Hoch und Tief. - 17 Warm- und Kaltfronten. - 18 Der Werdegang eines Tiefdruckgebietes - die Zyklonenfamilie. - 19 Wettervorgänge beim Durchzug eines Tiefdruckgebietes. - 20 Typische Großwetterlagen über Europa. - 21 Wenn die Kälte von oben einbricht. - 22 Wiederkehrende Witterungen. - 23 Wetter, Witterung und Klima. - Klimaklassifikation. - 24 Die Klimazonen der Erde. - Kombination der globalen Windgürtel. - Charakteristika und regionale Eigenheiten von Klimazonen und Klimatypen. - 25 Chaos in Wetter und Klima - das Problem der Vorhersage. - Glossar. - Sachverzeichnis.
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  • 5
    Call number: AWI G2-16-90008
    Description / Table of Contents: In many geological epochs, glacial sediments are widespread. This type of sedimentation results from the interaction between atmosphere, cryosphere, hydrosphere and biosphere under temperatures ranging from 0 to -80. Two types of glacial sediments exists: those from sea-ice and those from icebergs. Both types can be subdivided into various subfacies. Most widespread in the Northern Hemisphere is the Siberian subfacies, characterized by silt and clay and often misinterpreted as sediments of temperate zones. This reference book for researchers working on this kind of sediments provides a complete overview of the various glacial deposits in the ocean. (AUT)
    Type of Medium: Monograph available for loan
    Pages: XI, 563 S , Ill., graph. Darst., Kt
    ISBN: 3540679650 (Pp)
    Uniform Title: Ledovaja sedimentacija v Mirovom okeane
    Language: English
    Note: Russ. Ausgabe als AWI G2-02-0113 verfügbar
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  • 6
    Call number: AWI P5-14-0028
    In: Verständliche Wissenschaft ; 48, 48
    Type of Medium: Monograph available for loan
    Pages: VI, 179 S. , zahlr. Ill., graph. Darst., Kt.
    Series Statement: Verständliche Wissenschaft 48
    Note: Contents: 1. Einleitung. - 2. Gliederung, Grenzen, Ausmaße und Aufbau der Arktis. - 3. Gewässer der Arktis. - 4. Klima der Arktis. - 5. Die Lebewelt der Arktis. - 5A. Die Biosphäre. - 5B. Die Pflanzenwelt. - 5C. Die Tierwelt. - 5D. Der Mensch. - 6. Gang der Arktisforschung. - 6A. Atlantisch-europäisches Gebiet. - 6B. Polarsibirien. - 6C. Polaramerika. - 6D. Innerarktis. - 7. Die Arktis als Verkehrsraum. - 7A. Nordsibirischer Seeweg (Nordostpassage). - 7B. Nordwestpassage. - 7C. Luftverkehr. - 7D. Unterseeverkehr. - 8. Ziele und Methoden der Polarforschung. - 9. Schlußwort. - Namen und Sachverzeichnis. - Anhang: Tafel 1. Karte des Golfstrom- und Polarstromsystems. - Tafel 2. Farbige Karte der Arktis und angrenzender Länder.
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  • 7
    Call number: AWI S3-08-0024
    In: Springer series in computational mathematics, 33
    Description / Table of Contents: This book descibes numerical methods for partial differential equations (PDEs) coupling advection, diffusion and reaction terms,encompassing methods for hyperbolic, parabolic and stiff and nonstiff ordinary differential equations (ODEs). The emphasis lies on time-dependent transport-chemistry problems, describing e.g. the evolution of concentrations in environmental and biological applications. Along with the common topics of stability and convergence, much attention is paid on how to prevent spurious, negative concentrations and oscillations, both in space and time. Many of the theoretical aspects are illustrated by numerical experiments on models from biology, chemistry and physics. A unified approach is followed by emphasizing the method of lines or semi-discretization. In this regard this book differs substantially from more specialized textbooks which deal exclusively with either PDEs or ODEs. This book treats integration methods suitable for both classes of problems and thus is of interest to PDE researchers unfamiliar with advanced numerical ODE methods, as well as to ODE researchers unaware of the vast amount of interesting results on numerical PDEs.
    Type of Medium: Monograph available for loan
    Pages: X, 471 S. : graph. Darst.
    Edition: corr. 2. print.
    ISBN: 978-3-540-03440-7
    Series Statement: Springer series in computational mathematics 33
    Note: Table of Contents: I BASIC CONCEPTS AND DISCRETIZATIONS. - 1 Advection-Diffusion-Reaction Equations. - 1.1 Nonlinear Reaction Problems from Chemistry. - 1.2 Model Equations for Advection-Diffusion. - 1.3 Multi-dimensional Problems. - 1.4 Examples of Applications. - 2 Basic Discretizations for ODEs. - 2.1 Initial Value Problems and Euler's Method. - 2.2 Norms and Matrices. - 2.3 Perturbations on ODE Systems. - 2.4 The θ-Method and Stiff Problems. - 2.5 Stability of the θ-Method. - 2.6 Consistency and Convergence of the θ-Method. - 2.7 Nonlinear Results for the θ-Method. - 2.8 Concluding Remarks. - 3 Basic Spatial Discretizations. - 3.1 Discrete Fourier Decompositions. - 3.2 The Advection Equation. - 3.3 The Diffusion Equation. - 3.4 The Advection-Diffusion Equation. - 4 Convergence of Spatial Discretizations. - 4.1 Stability, Consistency and Convergence. - 4.2 Advection-Diffusion with Constant Coefficients. - 4.3 Advection with Variable Coefficients. - 4.4 Diffusion with Variable Coefficients. - 4.5 Variable Coefficients and Higher-Order Schemes. - 5 Boundary Conditions and Spatial Accuracy. - 5.1 Refined Global Error Estimates. - 5.2 Outflow with Central Advection Discretization. - 5.3 Boundary Conditions with the Heat Equation. - 5.4 Boundary Conditions and Higher-Order Schemes. - 6 Time Stepping for PDEs. - 6.1 The Method of Lines and Direct Discretizations. - 6.2 Stability, Consistency and Convergence. - 6.3 Stability for MOL - Stability Regions. - 6.4 Von Neumann Stability Analysis. - 7 Monotonicity Properties. - 7.1 Positivity and Maximum Principle. - 7.2 Positive Semi-discrete Systems. - 7.3 Positive Time Stepping Methods. - 7.4 Numerical Illustrations. - 8 Numerical Test Examples. - 8.1 The Nonlinear Schrödinger Equation. - 8.2 The Angiogenesis Model. - II TIME INTEGRATION METHODS. - 1 Runge-Kutta Methods. - 1.1 The Order Conditions. - 1.2 Examples. - 1.3 The Stability Function. - 1.4 Step Size Restrictions for Advection-Diffusion. - 1.5 Rosenbrock Methods. - 2 Convergence of Runge-Kutta Methods. - 2.1 Order Reduction. - 2.2 Local Error Analysis. - 2.3 Global Error Analysis. - 2.4 Concluding Notes. - 3 Linear Multistep Methods. - 3.1 The Order Conditions. - 3.2 Examples. - 3.3 Stability Analysis. - 3.4 Step Size Restrictions for Advection-Diffusion. - 3.5 Convergence Analysis. - 4 Monotone ODE Methods. - 4.1 Linear Positivity for One-Step Methods. - 4.2 Nonlinear Positivity for One-Step Methods. - 4.3 Positivity for Multistep Methods. - 4.4 Related Monotonicity Results. - 5 Variable Step Size Control. - 5.1 Step Size Selection. - 5.2 An Explicit Runge-Kutta Example. - 5.3 An Implicit Multistep Example. - 5.4 General Purpose ODE Codes. - 6 Numerical Examples. - 6.1 A Model for Antibodies in Tumorous Tissue. - 6.2 The Nonlinear Schrödinger Equation. - III ADVECTION-DIFFUSION DISCRETIZATIONS. - 1 Non-oscillatory MOL Advection Discretizations. - 1.1 Spatial Discretization for Linear Advection. - 1.2 Numerical Examples. - 1.3 Positivity and the TVD Property. - 1.4 Nonlinear Scalar Conservation Laws. - 2 Direct Space-Time Advection Discretizations. - 2.1 Optimal-Order DST Schemes. - 2.2 A Non-oscillatory Third-Order DST Scheme. - 2.3 Explicit Schemes with Unconditional Stability. - 3 Implicit Spatial Discretizations. - 3.1 Order Conditions. - 3.2 Examples. - 3.3 Stability and Convergence. - 3.4 Monotonicity. - 3.5 Time Integration Aspects. - 4 Non-uniform Grids - Finite Volumes (1D). - 4.1 Vertex Centered Schemes. - 4.2 Cell Centered Schemes. - 4.3 Numerical Illustrations. - 4.4 Higher-Order Methods and Limiting. - 5 Non-uniform Grids - Finite Elements (1D). - 5.1 The Basic Galerkin Method. - 5.2 Standard Galerkin Error Estimates. - 5.3 Upwinding. - 6 Multi-dimensional Aspects. - 6.1 Cartesian Grid Discretizations. - 6.2 Diffusion on Cartesian Grids. - 6.3 Advection on Cartesian Grids. - 6.4 Transformed Cartesian Grids. - 6.5 Unstructured Grids. - 7 Notes on Moving Grids and Grid Refinement. - 7.1 Dynamic Regridding. - 7.2 Static Regridding. - IV SPLITTING METHODS. - 1 Operator Splitting. - 1.1 First-Order Splitting. - 1.2 Second-Order Symmetrical Splitting. - 1.3 Higher-Order Splittings. - 1.4 Abstract Initial Value Problems. - 1.5 Advection-Diffusion-Reaction Splittings. - 1.6 Dimension Splitting. - 1. 7 Boundary Values and Stiff Terms. - 2 LOD Methods. - 2.1 The LOD-Backward Euler Method. - 2.2 LOD Crank-Nicolson Methods. - 2.3 The Trapezoidal Splitting Method. - 2.4 Boundary Correction Techniques. - 2.5 Numerical Comparisons. - 3 ADI Methods. - 3.1 The Peaceman-Rachford Method. - 3.2 The Douglas Method. - 4 IMEX Methods. - 4.1 The IMEX-θ Method. - 4.2 IMEX Multistep Methods. - 4.3 Notes on IMEX Runge-Kutta Methods. - 4.4 Concluding Remarks and Tests. - 5 Rosenbrock AMF Methods. - 5.1 One-Stage Methods of Order One and Two. - 5.2 Two-Stage Methods of Order Two and Three. - 5.3 A Three-Stage Method of Order Two. - 5.4 Concluding Remarks and Tests. - 6 Numerical Examples. - 6.1 Two Chemo-taxis Problems from Biology. - 6.2 The Numerical Methods. - 6.3 Numerical Experiments. - V STABILIZED EXPLICIT RUNGE-KUTTA METHODS. - 1 The RKC Family. - 1.1 Stability Polynomials. - 1.2 Integration Formulas. - 1.3 Internal Stability and Full Convergence Properties. - 2 The ROCK Family. - 2.1 Stability Polynomials. - 2.2 Integration Formulas. - 2.3 Internal Stability and Convergence. - 3 Numerical Examples. - 3.1 A Combustion Model. - 3.2 A Radiation-Diffusion Model. - Bibliography. - Index.
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  • 8
    Call number: M 92.0834 ; M 91.0343 ; AWI G6-92-0159 ; M 92.0293 ; M 92.0540
    Description / Table of Contents: The spectrum of physical and chemical dating methods now covers the entire range of earth history. But there are so many methods that it is becoming increasingly difficult to select those that are appropriate for solving a specific problem. The objective of this book is to cover the whole spectrum of methods and to give examples of their applications. Thus it is addressed to everybody interested in the application of physical and chemical dating methods to the geosciences and archeology. It is especially valuable as a concise, but comprehensive reference for students and practitioners.
    Type of Medium: Monograph available for loan
    Pages: XI, 503 S. : Ill., graph. Darst.
    ISBN: 3540512764
    Classification:
    Stratigraphy
    Classification:
    Stratigraphy
    Language: English
    Note: Contents: 1 Introduction. - 2 Time Scales and Ages. - 2.1 Absolute Time Scales. - 2.2 Relative Time Scales. - 2.3 Physical and Chemical Time Scales. - 3 Selection, Collection, Packing, Storage, Transport,and Description of the Samples. - 3.1 Selection and Collection of the Samples. - 3.2 Packing, Storage, and Transport of the Samples. - 3.3 Sample Description. - 4 Treatment and Interpretation of the Raw Data. - 4.1 Suitability of a Sample for Dating and Reliabilityof the Dates. - 4.1.1 Soft-Rock Dating. - 4.1.2 Hard-Rock Dating. - 4.1.3 Isotope Geochemistry. - 4.2 Mathematical Evaluation of Physical and Chemical Age Data. - 4.2.1 Rules for Simple Calculations with the Dating Results; Statistical Tests. - 4.2.2 Comparison of Age Values. - 4.2.3 Numerical and Graphical Evaluation of Age Values. - 4.3 Publication of the Age Values. - 5 Physical Dating Methods. - 5.1 Principles. - 5.2 Sample Treatment and Measurement Techniques. - 5.2.1 Sample Treatment. - 5.2.1.1 Hard-Rock Samples. - 5.2.1.2 Soft-Rock Samples. - 5.2.2 Radioactivity Measurements: Decay Counting Methods. - 5.2.2.1 Gas-Filled Proportional and Geiger-Müller Counters. - 5.2.2.2 Scintillation Counters. - 5.2.2.3 Semiconductor Detectors. - 5.2.3 Measurement of Stable and Long-Lived Isotopes: Atom Counting Methods. - 5.2.3.1 Mass Spectrometry (MS). - 5.2.3.2 Accelerator Mass Spectrometry (AMS). - 5.2.3.3 Resonance-Ionization Spectrometry (RIS). - 5.2.4 Other Analytical Techniques. - 5.2.4.1 Isotope Dilution Analysis (ID). - 5.2.4.2 Neutron Activation Analysis (NAA). - 5.2.4.3 Flame Photometry, Atomic Absorption Spectrometry (AA) and Inductive Coupled Plasma Analysis (ICP). - 5.2.4.4 Ion-Microprobe (IMP) and Laser Microprobe Mass Analysis (LAMMA). - 5.2.4.5 X-Ray Fluorescence Analysis (XRF) . - 6 Radiometric Dating Methods. - 6.1 Parent/Daughter Isotope Ratios as a Geochronometer. - 6.1.1 Potassium/Argon (40K/40Ar) Method. - 6.1.1.1 Conventional Potassium/Argon (40K/40Ar) Method. - 6.1.1.2 Argon/Argon (39Ar/40Ar) Method. - 6.1.2 Potassium/Calcium (40K/40Ca) Method. - 6.1.3 Rubidium/Strontium (87Rb/87Sr) Method. - 6.1.4 Lanthanum/Cerium (138La/138Ce) Method. - 6.1.5 Lanthanum/Barium (138La/138Ba) Method. - 6.1.6 Samarium/Neodymium (147Sm/143Nd) Method. - 6.1.7 Lutetium/Hafnium (176Lu/176Hf) Method. - 6.1.8 Rhenium/Osmium (187Re/187Os) Method. - 6.1.9 Uranium/Thorium/Lead Methods (238U/206Pb, 235U/207Pb and 232Th/208Pb Methods). - 6.1.10 Common Lead Method. - 6.1.11 Lead/Lead (207Pb/206Pb) Method. - 6.1.12 Chemical Lead Method. - 6.1.13 Lead/Alpha Method (Larsen Method). - 6.1.14 Krypton/Krypton (Krsf/Krn) Method. - 6.1.15 Xenon Methods. - 6.1.15.1 Uranium/Xenon (U/Xesf) Method. - 6.1.15.2 Xenon/Xenon (Xesf/Xen) Method. - 6.2 Dating with Cosmogenic Radionuclides. - 6.2.1 Radiocarbon (14C) Method. - 6.2.2 Tritium (3H) Methods. - 6.2.2.1 Classical Tritium (3H) Method. - 6.2.2.2 Tritium/Helium-3 (3H/3He) and Helium-3 (3He)Methods. - 6.2.3 Beryllium-10 (10Be) Method. - 6.2.4 Sodium-22 (22Na) Method. - 6.2.5 Aluminium-26 (26Al) Method. - 6.2.6 Silicon-32 (32Si) Method. - 6.2.7 Chlorine-36 (36Cl) Method. - 6.2.8 Argon-39 (39Ar) Method. - 6.2.9 Calcium-41 (41Ca) Method. - 6.2.10 Manganese-53 (53Mn) Method. - 6.2.11 Krypton-81 (81Kr) Method. - 6.2.12 Iodine-129 (129I) Method. - 6.2.13 Aluminium-26/Beryllium-10 (26Al/10Be) Method. - 6.2.14 Beryllium-10/Chlorine-36 (10Be/36Cl) Method. - 6.3 Dating Based on Radioactive Disequilibrium of the Uranium, Thorium, and Protactinium Decay Series: The Uranium/Thorium/Protactinium Methods. - 6.3.1 230Th/234U Method. - 6.3.2 231Pa/235U Method. - 6.3.3 231Pa/230Th Method. - 6.3.4 234U/238U Method. - 6.3.5 230Th-excess Method. - 6.3.6 231Pa-excess Method. - 6.3.7 230Th-excess/232Th or 230Th/238U Method. - 6.3.8 231Pa-excess/23Th-excess Method. - 6.3.9 234Th-excess Method. - 6.3.10 228Th-excess/232Th Method. - 6.3.11 Dating Methods Based on Supported 226Ra and Unsupported 226Ra. - 6.3.12 224Ra and 228Ra Methods. - 6.3.13 210Pb Method. - 6.3.14 Uranium/Helium (U/He) Method. - 6.3.15 Radium/Radon Method. - 6.4 Age Determination Using Radiation Damage. - 6.4.1 Thermoluminescence (TL) Method. - 6.4.2 Optical Dating (OSL) Method. - 6.4.3 Electron Spin Resonance (ESR or EPR) Method. - 6.4.4 Exo-Electron Method (TSEE Method). - 6.4.5 Thermally Stimulated Current (TSC) Method. - 6.4.6 Differential Thermoanalysis (DTA). - 6.4.7 Fission Track Method (FT Method). - 6.4.8 Alpha-Recoil Track Method. - 6.4.9 Age Determination Using Pleochroic Haloes. - 6.5 Dating Meteorites and Lunar Rocks. - 6.5.1 Introduction. - 6.5.2 Sample Preparation and Measurement. - 6.5.3 Formation Interval. - 6.5.4 Solidification Ages. - 6.5.5 Gas Retention Ages. - 6.5.6 Cosmic Ray Exposure Ages. - 6.5.7 Terrestrial Ages of Meteorites. - 7 Chronostratigraphic Methods Using Global Time Markers. - 7.1 Paleomagnetic Dating Methods. - 7.2 Chronostratigraphic Time-Scale Using [Delta] 18O Values. - 7.3 Chronostratigraphic Time-Scale Using [Delta] 34S and [Delta] 13C Values and 87Sr/86Sr Ratios. - 7.4 Artificial Radionuclides as Time Markers. - 7.5 Geochemical Time Markers. - 7.6 Chemical Pollution as Time Markers. - 8 Chemical Dating Methods. - 8.1 Amino-Acid Racemization Method (AAR). - 8.2 Amino-Acid Degradation Method. - 8.3 Dating of Bones Using the Nitrogen or Collagen Content. - 8.4 Chemical Electron-Spin-Resonance (ESR) Dating. - 8.5 Molecular (Protein and DNA) Clocks. - 8.6 Obsidian Hydration Method. - 8.7 Dating of Man-Made Glass. - 8.8 Calcium Diffusion and Cation-Ratio Methods. - 8.9 Dating of Bones Using the Fluorine or Uranium Content. - 9 Phanerozoic Time-Scale. - 9.1 Objectives and History of Geochronolgy. - 9.2 Geological Time-Scales. - 9.3 The Future. - 10 Literature. - 10.1 Journals that Frequently Publish Geochronological Papers. - 10.2 Geochronology Textbooks. - 10.3 References. - Acknowledgments. - Appendix A: Geochronology Glossary. - Appendix B: Radioactive and Stable Isotopes in Geochronology. - Appendix C: List of Addresses. - Subject Index. - Foldout Table: Dating Methods, Ranges, and Materials.
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  • 9
    Call number: 12/M 93.0473 ; 12/M 92.1243 ; AWI G6-93-0058 ; AWI G6-05-0111
    In: NATO ASI Series
    Type of Medium: Monograph available for loan
    Pages: XIV, 344 S. , Ill. , 24 cm
    ISBN: 3540531238
    Series Statement: NATO ASI series : I, Global and environmental change 2
    Classification:
    Historical Geology
    Language: English
    Note: Table of Contents: Prologue. - List of authors and participants. - I. RADIOCARBON AND ABSOLUTE CHRONOLOGIES. - Tree-ring 14C calibration at 10.000 BP / B. Kromer and B. Becker. - On flow model dating of stable isotope records from Greenland ice cores 7 S. J. Johnsen and W. Dansgaard. - The clay-varve based Swedish time scale and its relation to the Late Weichselian radiocarbon chronology / S. björck, I. Cato, L. Brunnberg, B. Strömberg. - A step towards an absolute time-scale for the Late-Glacial: annually laminated sediments from Soppensee (Switzerland) / A. F. Lotter. - B. Ammann, J. Beer, I. Hajdas, M. Sturm. - The late glacial-holocene transition in central Europe derived from isotope studies of laminated sediments from Lake Gościaź (Poland) / K. Rozanski, T. Goslar, M. Dulinski, T. Kuc, M. F. Pazdur, A. Walanus. - Younger Dryas oscillation - varve dated microstratigraphic, palynological and palaeomagnetic records from Lake Holzmaar, Germany / B. Zolitschka, B. Haverkamp, J. F. W. Negendank. - 230Th/234U and 14C ages obtained by mass spectrometry on corals from Barbados (West Indies), Isabela (Galapagos) and Mururoa (French Polynesia) / E. Bard, R. G. Fairbanks, M. Arnold, B. Hamelin. - II. COSMONUCLIDE PRODUCTION CHANGES DURING THE PAST. - Expected secular variations in the global terrestrial production rate of radiocarbon / D. Lal. - 10Be deposition at Vostok, Antarctica, during the last 50,000 years and its relationship to possible cosmogenic production variations during this period / G. M. Raisbeck, F. Yiou, J. Jouzel, J. R. Petit, N. I. Barkov, E. Bard. - 10Be peaks as time markers in polar ice cores / J. Beer, S. J. Johnsen, G. Bonani, R. C. Finkel, C. C. Langway, H. Oeschger, B. Stauffer, M. Suter, W. Woelfli. - Variation of geomagnetic field intensity from 8-60 Ky BP, Massif Central France / J. Salis and N. Bonhommet. - A geomagnetic calibration of the radiocarbon time-scale / A. Mazaud, C. Laj, E. Bard, M. Arnold, E. Tric. - III. CLIMATIC CHANGES DURING THE LAST DEGLACIATION. - The strength of the nordic heat pump / W. S. Broecker. - δ18O time-slice reconstruction of meltwater anomalies at Termination 1 in the North Atlantic between 50 and 80°N / M. Sarnthein, E. Jansen, M. Arnold, J. C. Duplessy, H. Erlenkeuser, A. Flatoy, T. Veum, E. Vogelsang, M. S. Weinelt. - A new method to reconstruct sea surface salinity: application to the North Atlantic ocean during the Younger Dryas / J.-C. Duplessy, L. Labeyrie, A. Juillet-Leclerc, J. Duprat. - The determination of past ocean-atmosphere radiocarbon differences / J. R. Southon, D. E. Nelson, J. S. Vogel. - The last deglaciation in Antarctica: further evidence of a "Younger Dryas" type climatic event / J. Jouzel, J. R. Petit, N. I. Barkov, J. M. Barnola, J. Chappellaz, P. Ciais, V. M. Kotkyakov, C. Lorius, V. N. Petrov, D. Raynaud, C. Ritz. - Possible ice-core evidence for a fresh melt water cap over the Atlantic ocean in the early Holocene / D. A. Fisher. - Climatic changes in Northwest Africa during the last deglaciation (16-7 ka BP) / F. Gasse, J. Ch. Fontes. - The palynological expression and timing of the Younger Dryas event - Europe versus Eastern North America / D. M. Peteet.
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  • 10
    Monograph available for loan
    Monograph available for loan
    Berlin [u.a.] : Springer
    Call number: 10/M 01.0013 ; AWI G6-97-0035
    Type of Medium: Monograph available for loan
    Pages: 201 S.
    Edition: 4th, completely rev., update, and enl. ed.
    ISBN: 3540611266
    Classification:
    Geochemistry
    Language: English
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