ALBERT

Note: Zugleich: Dissertation, Freie Unversität Berlin, [ca. 1963] , INHALTSVERZEICHNIS PROBLEMSTELLUNG UND ZIELSETZUNG 1. BEMERKUNGEN ZUM BEOBACHTUNGSGELÄNDE UND ZUM BEOBACHTUNGSMATERIAL 1.1 Das Beobachtungsgelände 1.2 Das Beobachtungsmaterial 2. HOMOGENITÄTSBETRACHTUNGEN 2.1 Temperatur 2.2 Niederschlag 2.3 Wind 2.4 Sonnenschein und Bewölkung 3. TEMPERATURVERHÄLTNISSE 3.1 Monats- und Jahreswerte 3.2 Tageswerte 3.3 Pentadenwerte 3.4 Häufigkeitsbetrachtungen 3.5 Interdiurne Veränderlichkeit 3.6 Der tägliche Gang 3.7 Vorkommen bestimmter Schwellenwerte 3.71 Frost- und Eistage 3.72 Sommer- und Tropentage 4. DER WASSERGEHALT DER LUFT 4.1 Monats- und Jahreswerte 4.2 Tageswerte 4.3 Häufigkeitsbetrachtungen 4.4 Interdiurne Veränderlichkeit 4.5 Der tägliche Gang 5. BEWÖLKUNGSVERHÄLTNISSE 5.1 Monats- und Jahreswerte 5.2 Tageswerte 5.3 Häufigkeitsbetrachtungen 5.4 Der tägliche Gang 5.5 Heitere und trübe Tage 5.6 Nebel 6. SONNENSCHEIN 6.1 Monats- und Jahreswerte 6.2 Tageswerte 6.3 Der tägliche Gang 7. NIEDERSCHLAGSVERHÄLTNISSE 7.1 Monats- und Jahreswerte 7.2 Niederschlagsbereitschaft 7.3 Tageswerte 7.4 Der tägliche Gang 7.5 Häufigkeitsbetrachtungen 7.6 Niederschlags- und Trockenperioden 7.7 Niederschlag und Wind· 7.8 Schneeverhältnisse 7.81 Schneefall und Schneedecke 7.82 Schneehöhe 7.9 Gewitter 8. WINDVERHÄLTNISSE 8.1 Windrichtung 8.2 Windgeschwindigkeit 8.21 Der jährliche Gang 8.22 Häufigkeitsbetrachtungen 8.23 Sturmtage und Windstillen 8.24 Der tägliche Gang 9.ZUSAMMENFASSUNG VERZEICHNIS DER TEXTTABELLEN VERZEICHNIS DER ABBILDUNGEN LITERATURVERZEICHNIS TABELLENANHANG

Note: Zugleich: Dissertation, Freie Unversität Berlin, [ca. 1963] , INHALTSVERZEICHNIS PROBLEMSTELLUNG UND ZIELSETZUNG 1. BEMERKUNGEN ZUM BEOBACHTUNGSGELÄNDE UND ZUM BEOBACHTUNGSMATERIAL 1.1 Das Beobachtungsgelände 1.2 Das Beobachtungsmaterial 2. HOMOGENITÄTSBETRACHTUNGEN 2.1 Temperatur 2.2 Niederschlag 2.3 Wind 2.4 Sonnenschein und Bewölkung 3. TEMPERATURVERHÄLTNISSE 3.1 Monats- und Jahreswerte 3.2 Tageswerte 3.3 Pentadenwerte 3.4 Häufigkeitsbetrachtungen 3.5 Interdiurne Veränderlichkeit 3.6 Der tägliche Gang 3.7 Vorkommen bestimmter Schwellenwerte 3.71 Frost- und Eistage 3.72 Sommer- und Tropentage 4. DER WASSERGEHALT DER LUFT 4.1 Monats- und Jahreswerte 4.2 Tageswerte 4.3 Häufigkeitsbetrachtungen 4.4 Interdiurne Veränderlichkeit 4.5 Der tägliche Gang 5. BEWÖLKUNGSVERHÄLTNISSE 5.1 Monats- und Jahreswerte 5.2 Tageswerte 5.3 Häufigkeitsbetrachtungen 5.4 Der tägliche Gang 5.5 Heitere und trübe Tage 5.6 Nebel 6. SONNENSCHEIN 6.1 Monats- und Jahreswerte 6.2 Tageswerte 6.3 Der tägliche Gang 7. NIEDERSCHLAGSVERHÄLTNISSE 7.1 Monats- und Jahreswerte 7.2 Niederschlagsbereitschaft 7.3 Tageswerte 7.4 Der tägliche Gang 7.5 Häufigkeitsbetrachtungen 7.6 Niederschlags- und Trockenperioden 7.7 Niederschlag und Wind· 7.8 Schneeverhältnisse 7.81 Schneefall und Schneedecke 7.82 Schneehöhe 7.9 Gewitter 8. WINDVERHÄLTNISSE 8.1 Windrichtung 8.2 Windgeschwindigkeit 8.21 Der jährliche Gang 8.22 Häufigkeitsbetrachtungen 8.23 Sturmtage und Windstillen 8.24 Der tägliche Gang 9.ZUSAMMENFASSUNG VERZEICHNIS DER TEXTTABELLEN VERZEICHNIS DER ABBILDUNGEN LITERATURVERZEICHNIS TABELLENANHANG

Note: Erscheinungsjahr in Vorlageform:2004

Note: Contents 1 Introduction 2 Features of the Arctic Seas of Russia and Their Ecosystems 2.1 Brief History of the Studies 2.2 Physical Geography 2.3 Features of Geological Structure and Sedimentation 2.4 Hydrology 2.5 Hydrochemistry 2.5.1 Oxygen 2.5.2 pH 2.5.3 Alkalinity 2.5.4 Nutrients (P, N, and Si) 3 Biological Production of the Arctic Seas of Russia 3.1 Introduction 3.2 Barents Sea 3.3 White Sea 3.4. Kara Sea 3.5. Seas of the East Arctic 4 Particulate Matter and Vertical Carbon Fluxes in the Water–Bottom System 4.1 Introduction 4.2 Barents Sea 4.3 White Sea 4.4 Kara Sea 4.5 Laptev, East Siberian, and Chukchi Seas 4.6 Carbon Fluxes from the Photic Zone to the Seafloor 4.7 Conclusion 5 Horizontal Carbon Fluxes in the Land–Sea System 5.1 Riverine Runoff and Carbon Fluxes 5.1.1 Water Runoff and Particulate Matter Supply 5.1.2 Carbon runoff 5.2 Coastal Abrasion and Carbon Fluxes 5.3 Aerosols and Eolian Carbon Fluxes 5.4 Underground and Glacial Runoff 5.4.1 Underground Runoff 5.4.2 Ice and Glacial Discharge 5.4.3 Interstitial Waters 6 Carbon in the Bottom Sediments 6.1 Introduction 6.2 Brief History of the Studies of Carbon and Organic Matter Composition 6.3 Selected Features of the Polar Lithogenesis 6.4 Organo-Chemical Composition of the Sediments 6.5 Distribution and Accumulation Rate of Carbon in the Bottom Sediments 6.5.1 Contents of TOC and Ccarb in Different Types of the Sediments 6.5.2 Distribution of TOC and its Accumulation Rate in the Bottom Sediments 6.5.3 Distribution of Ccarb and its Accumulation Rates in the Bottom Sediments 7 Elements of Carbon Balance and Cycling in the Arctic Seas of Russia 7.1 Fluxes and Balance of Masses 7.2 Ecological Features of the Arctic Seas and their Influence on Carbon Cycling References Index

Note: Contents (I) Motivation and Methods (A) The Antarctic Ice Sheet and its Role in the Global System (A.1) Main Geographic and Glaciologic Provinces of Antarctica (A.2) Climatic Change, Sea-Level Rise,and Changes in the Cryosphere (A.3) Modeling Versus Measuring B) Satellite Remote Sensing (B.1) An Overview of Ice Sheet Observations by Satellite (B.2) Satellite Radar Altimetry (B.2.1) Satellite Missions with Radar Altimeter Observations (B.2.1.1) SEASAT (B.2.1.2) GEOSAT (B.2.1.3) ERS-1 and ERS-2 (B.2.1.4) Other Missions with Altimeters, and Related Missions (B.2.2) Mission Types: Exact Repeat Missions and Geodetic Missions (B.2.3) Radar Measurement Principles (B.3) Analysis of Satellite Radar Altimeter Data over Ice Sheets and Glaciers (B.3.1) Problems and Methods of Mapping Ice Surface Elevation (B.3.2) Derivation of Ice Surface Roughness and Morphology (C) Data Analysis Methods Applied in the Antarctic Atlas (C.0) Introduction (C.1) Corrections of Radar Altimeter Data (C.1.1) Corrections Applied to Satellite Radar Altimeter Data for Ice Surface Mapping (C.1.2) The Bad-Track Problem (C.1.3) The Need for Interpolation of Geophysical Line Survey Data (C.2) Map Projection and Atlas Mapping (C.2.1) The UTM Projection (C.2.2) The Atlas Mapping Problem (C.2.3) The Solution: The Antarctic Atlas Mapping Scheme (C.2.4) Map Sheet Calculation with TRANSVIEW (C.3) Geostatistical Estimation (C.3.1) Concept of the Regionalized Variable and Principles of Variography (C.3.2) Kriging (C.3.3) Variography for Satellite Radar Altimeter Data over Antarctic Ice Surfaces (C.3.4) Application: Search Algorithm and Kriging Parameters for Antarctic Atlas DTMs. Mapping Parameters (C.3.4.1) Search Routine for Geophysical Line Survey Data and Software (C.3.4.2) Grid Spacing (C.3.4.3) Mapping Parameters: Contouring and Coloring Scheme (C.3.5) Error Analysis (C.3.6) Influence of the Radar Altimeter Sensor Compared to Influence of the Variogramin Kriging for GEOSAT and ERS-1 Data (C.4) The Role of the Geodetic Reference Surface (C.4.1) Ellipsoid and Geoid Concepts (C.4.2) Mapping of Ice Surfaces with Reference to Geoid Models (II) The Atlas (D) Atlas Maps (D.0) Map Organization and Description Principles (D.1) Latitude Row 63-68°S: Maps from GEOSAT and ERS-1 Radar Altimeter Data Map m45e37-53n63-68 Casey Bay Map m57e49-65n63-68 Napier Mountains Map m69e61-77n63-68 Mawson Coast East Map m81e73-89n63-68 Leopold and Astrid Coast Map m93e85-101n63-68 Queen Mary Coast Map m105e97-113n63-68 Knox Coast Map m117e109-125n63-68 Sabrina Coast Map m129e121-137n63-68 Clarie Coast Map m141e133-149n63-68 Adélie Coast Map m153e145-161n63-68 Ninnis Glacier Tongue Map m297e289-305n63-68 Antarctic Peninsula (Graham Land) (D.2) Latitude Row 67-72.1°S: Maps from GEOSAT and ERS-1 Radar Altimeter Data Map m15we23W-7Wn67-721 Ekström Ice Shelf Map m3we11w-5n67-721 Fimbul Ice Shelf Map m9e1-17n67-721 Princess Astrid Coast Map m21e13-29n67-721 Erskine Iceport Map m33e25-41n67-721 Riiser-Larsen Peninsula Map m45e37-53n67-721 Prince Olav Coast Map m57e49-65n67-721 Kemp Coast Map m69e61-77n67-721 Lambert Glacier Map m81e73-89n67-721 Ingrid Christensen Coast Map m93e85-101n67-721 Wilkes Land (e85-101n67-721) Map m105e97-113n67-721 Wilkes Land (e97-113n67-721) Map m117e109-125n67-721 Wilkes Land (e109-125n67-721) Map m129e121-137n67-721 Wilkes Land (e121-137n67-721) Map m141e133-149n67-721 Wilkes Land (e133-149n67-721) Map m153e145-161n67-721 Cook Ice Shelf Map m165e157-173n67-721 Pennell Coast Map m292e284-300n67-721 Antarctic Peninsula (Palmer Land) (D.3) Latitude Row 71-77°S: Maps from ERS-1 Radar Altimeter Data Map m333e315-351n71-77 Riiser-Larsen Ice Shelf Map m357e339-15n71-77 New Schwabenland Map m21e3-39n71-77 Sør Rondane Mountains Map m45e27-63n71-77 Belgica Mountains Map m69e51-87n71-77 Upper Lambert Glacier Map m93e75-111n71-77 American Highland Map m117e99-135n71-77 Dome Charlie Map m141e123-159n71-77 Southern Wilkes Land (e123-159) Map m165e147-183n71-77 Victoria Land Map m213e195-231n71-77 Ruppert Coast Map m237e219-255n71-77 Bakutis Coast Map m261e243-279n71-77 Walgreen Coast Map m285e267-303n71-77 Ellsworth Land Map m309e291-327n71-77 Black Coast (D.4) Latitude Row 75-80°S: Maps from ERS-1 Radar Altimeter Data Map m333e315-351n75-80 Coats Land Map m357e339-15n75-80 Western Queen Maud Land (North) Map m21e3-39n75-80 Central Queen Maud Land (North) Map m45e27-63n75-80 Valkyrie Dome Map m69e51-87n75-80 South of Lambert Glacier Map m93e75-111n75-80 East Antarctica (Sovetskaya) Map m117e99-135n75-80 East Antarctica (Vostok) Map m141e123-159n75-80 East Antarctica (Mt. Longhurst) Map m165e147-183n75-80 Scott Coast Map m189e171-207n75-80 Roosevelt Island Map m213e195-231n75-80 Saunders Coast Map m237e219-255n75-80 Northern Marie Byrd Land Map m261e243-279n75-80 Northern Hollick-Kenyon Plateau Map m285e267-303n75-80 Zumberge Coast Map m309e291-327n75-80 Ronne Ice Shelf (D.5) Latitude Row 78-81.5°S: Maps from ERS-1 Radar Altimeter Data Map m333e315-351n78-815 Filchner Ice Shelf Map m357e339-15n78-815 Western Queen Maud Land (South) Map m21e3-39n78-815 Central Queen Maud Land (South) Map m45e27-63n78-815 Eastern Queen Maud Land (South) Map m69e51-87n78-815 Dome Argus Map m93e75-111n78-815 East Antarctica (e75-111n78-815) Map m117e99-135n78-815 EastAntarctica (e99-135n78-815) Map m141e123-159n78-815 Byrd Glacier Map m165e147-183n78-815 Hillary Coast Map m189e171-207n78-815 Ross Ice Shelf Map m213e195-231n78-815 Shirase Coast Map m237e219-255n78-815 Southern Marie Byrd Land Map m261e243-279n78-815 Southern Hollick-Kenyon Plateau Map m285e267-303n78-815 Ellsworth Mountains Map m309e291-327n78-815 Berkner Island (III) Applications (E) Monitoring Changes in Antarctic Ice SurfaceTopography: The Example of the Lambert Glacier/Amery Ice Shelf System (E.1) The Problem of Monitoring Changes (E.2) Time Series of Digital Terrain Models and Maps (E.3) Altimeter Data: Acquisition and Corrections (E.4) Visual Comparison - Quantitative Comparison (E.5) Calculation of Elevation Changes (E.6) Discussion of Results on Elevation Changes (E.6.1) Results of the Monitoring Study (E.6.2) Comparison with Other Maps of Lambert Glacier/Amery Ice Shelf (E.7) On the Potential Existence of Surge Glaciers in the Lambert Glacier/Amery Ice Shelf System (E.7.1) Introduction to the Surge Phenomenon and Relationship to Results of the Monitoring Study (E.7.2) Discussion of the Surge Hypothesis in the Glaciologic Literature (F) Detailed Studies of Selected Antarctic Outlet Glaciers and Ice Shelves (F.0) Introduction (F.1) Detail Map 1: Slessor Glacier (ERS-1 Data 1995) (F.2) Detail Map 2: Stancomb-Wills Glacier (ERS-1 Data 1995) (F.3) Detail Map 3: Jutulstraumen Glacier (ERS-1 Data 1995) (F.4) Detail Map 4: Shirase Glacier (ERS-1 Data 1995) (F.5) Detail Map 5: Lambert Glacier (ERS-1 Data 1995) (F.6) Detail Map 6: West Ice Shelf (ERS-1 Data 1995) (F.7) Detail Map 7: Denman Glacier (ERS-1 Data 1995) (F.8) Detail Map 8: Vanderford Glacier (ERS-1 Data 1995) (F.9) Detail Map 9: Totten Glacier (ERS-1 Data 1995) (F.10) Detail Maps 10: Mertz Glacier,11: Ninnis Glacier, and 12: Mertz and Ninnis Glaciers (GEOSAT Data 1985-86) (F.11) Detail Map 13: Rennick Glacier (ERS-1 Data 1995) (F.12) Detail Map 14: David Glacier/Drygalski Ice Tongue (ERS-1 Data 1995) (F.13) Detail Map15: Thwaites Glacier (ERS-1 Data 1995) (F.14) Detail Map 16: PineIsland Glacier (ERS-1 Data 1995) (G) Combination of SAR and Radar Altimeter Data: Lambert Glacier/Amery Ice Shelf (IV) References and Appendix (H) References (I) Appendix (I.1)Glaciological Glossary (I.2) Index of Place Names (I.3) Antarctic Expeditions (I.3.1) Early Seagoing Expeditions (I.3.2) Expeditions to the Antarctic Continent (I.3.3) Antarctic Expeditions after the International Geophysical Year

Note: Contents: Contributing Authors. - SECTION 1. HISTORY OF RESEARCH OF POLAR SOIL. - The History of Research of Polar Soil: Introduction / S. V. Goryachkin. - Chapter 1. Soil Research in Arctic Alaska, Greenland, and Antarctica / J.C.F. Tedrow. - Chapter 2. The History of Research of Eurasian Cryosols / S.V. Goryachkin, N.A. Karavaeva, and O.V. Makeev. - Chapter 3. Northern Soil Research in Canada / C. Tarnocai. - SECTION 2. THE GEOGRAPHY OF CRYOSOLS. - The Geography of Cryosols: Introduction / C.A. Scott Smith and S.V. Goryachkin. - Chapter 1. Similarities and Differences in Arctic and Antarctic Soil Zones / S. V. Goryachkin, H.P. Blume, L. Beyer, I. Campbell, G. Claridge, J. G. Bockheim, N.A. Karavaeva, V. Targulian, and C. Tarnocai. - Chapter 2. Cryosols in Alaska / C.-L. Ping, M. H. Clark, and D. K. Swanson. - Chapter 3. Cryosols of Arctic Canada / C. Tarnocai. - Chapter 4. Cryosols of the Boreal, Subarctic, and Western Cordillera Regions of Canada / C. A. S. Smith and H. Veldhuis. - Chapter 5. Cryosols in the Russian Arctic Archipelagos / S. V. Goryachkin and N. A. Karavaeva. - Chapter 6. Soils and Soil Cover of Northeastern Eurasia / Ye. M. Naumov. - Chapter 7. Cryosols of the Russian European North / S. V. Goryachkin and I. V. Ignatenko. - Chapter 8. Cryosols of Western Siberia / N. Karavaeva. - Chapter 9. Cryosols of the Mountains of Southern Siberia and Far Eastern Russia / R. G. Gracheva. - Chapter 10. Geography and Ecology of Cryogenic Soils of Mongolia / S. V. Maximovich. - Chapter 11. The Periglacial Environment and Distribution of Cryosols in China / C.-L. Ping, G. Qiu, and L.Zhao. - Chapter 12. Cryosols of the Arid Antarctic / I. B. Campbell and G. G. C. Claridge. - Chapter 13. The Soil Cover of Central Siberia / I. A. Sokolov, T. V. Ananko, and D. Ye. Konyushkov. - SECTION 3. PROPERTIES AND PROCESSES OF CRYOSOLS. - Properties and Processes of Cryosols: Introduction / B. Van Vliet-Lanoë. - Chapter 1. Physico-Chemical Processes in Cryogenic Soils / V. Ostroumov. - Chapter 2. Micromorphology of Cryosols / B. Van Vliet-Lanoë, C. A. Fox, and S. V. Gubin. - Chapter 3. The Thermal Regime of Cryosols / C. R. Burn. - Chapter 4. Cryosols in the Extremely Arid Transantarctic Mountains Region of Antarctica / I. B. Campbell and G. G. C. Claridge. - Chapter 5. Mineralogy and Weathering of Antarctic Cryosols / H.-P. Blume, J. Chen, E. Kalk, and D. Kuhn. - Chapter 6. Weathering Processes in Arid Cryosols / G. G. C. Claridge and I. B. Campbell. - SECTION 4. ECOLOGICAL PROCESSES OF CRYOSOLS. - Ecological Processes of Cryosols: Introduction / L. Beyer. - Chapter 1. Organic Matter and Bioactivity in Cryosols of Arctic Alaska / G. J. Michaelson, X.Y. Dai, and C.-L Ping. - Chapter 2. The Biological Cycle in Terrestrial Polar Ecosystems and its Influence on Soil Formation / D. G. Zamolodchikov and D. G. Fedorov-Davydov. - Chapter 3. Soil Organic Matter Storage in Cold Soils of CoastalEastern Antarctica (Casey Station, Wilkes Land) / L. Beyer, K. Pingpank, M. Bölter, and R. D. Seppelt. - Chapter 4. Composition and Transformation of Soil Organic Matter in Cryosols and Gelic Histosols in Coastal Eastern Antarctica (Casey Station, Wilkes Land) / L. Beyer, D. M. White, K. Pingpank, and M. Bolter. - Chapter 5. Microorganisms and Microbial Processes in Antarctic Soils / M. Bolter and E. Kandeler. - Chapter 6. The Biology of Arid Cryosols / G. G. C. Claridge and I. B. Campbell. - Chapter 7. Biodiversity, primary productivity, and the seasonal dynamic of soil processes in Taimyr soil-permafrost complexes / V. D. Vassiljevskaja, B. Pospelova, and V. Telesnina. - SECTION 5. CLASSIFICATION OF CRYOSOLS. - Classification of Cryosols: Introduction / G. Broil and D. Ye. Konyushkov. - Chapter 1. Classification of Cryosols in Canada / C. Tarnocai. - Chapter 2. Classification of Cryosols in Russia / G. Mazhitova. - Chapter 3. The Gelisol Order in Soil Taxonomy / R. J. Ahrens, J. G. Bockheim, and C-L. Ping. - Chapter 4. Classification of Permafrost-Affected Soils in the WRB / C. Tarnocai, G. Broil, and H.-P. Blume. - SECTION 6. MANAGEMENT AND USE OF CRYOSOLS. - Management and Use of Cryosols: Introduction / I. B.Campbell. - Chapter 1. Agricultural Use of Tundra Soils in the Vorkuta Area, Northeast European Russia / I. A. Archegova, N. Kotelina, and G. Mazhitova. - Chapter 2. Disposal of Mine Tailings in Continuous Permafrost Areas:Environmental Aspects and Future Control Strategies / B. Elberling. - Chapter 3. Environmental Impacts and Recovery from Human Activities on Cryosols of the Transantarctic Mountains / I. B. Campbell and G. G. C. Claridge. - Chapter 4. Soil Properties and Relationships in Cryosols of theRegion of the Transantarctic Mountains in Antarctica / I. B. Campbell and G. G. C. Claridge

Note: Erscheinungsjahr in Vorlageform:c 2003

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.

Note: Russ. Ausgabe als AWI G2-02-0113 verfügbar

Note: Inhaltsverzeichnis: 1 Einleitung. - 1.1 Wesen und Funktion thematischer Karten. - 1.1.1 Funktion thematischer Karten. - 1.1.2 Definition der thematischen Karte. - 1.1.3 Typologie. - 1.1.4 Anforderungen und Grenzen. - 1.2 Thematische Karten in der raumbezogenen Forschung. - 1.3 Vorteile des Desktop Mapping. - 1.4 Geschichte der Computerkartographie. - 2 Einfiihrung in die thematische Kartographie. - 2.1 Aufbau einer thematischen Karte. - 2.1.1 Formale Bereiche. - 2.1.2 Kartenrandangaben. - 2.1.3 Inhaltliche Schichten. - 2.2 Grundkarte. - 2.2.1 Kartengrundlage. - 2.2.2 Maßstab. - 2.2.3 Netzentwürfe. - 2.2.4 Entwurf der Grundkarte. - 2.3 Ausdrucksformen und ihr Entwurf. - 2.3.1 Standortkarten. - 2.3.2 Choroplethenkarten. - 2.3.3 Diagrammkarten. - 2.3.4 Mehrschichtige Karten. - 2.3.5 Andere Kartentypen. - 2.4 Darstellung der Sachdaten. - 2.4.1 Darstellung qualitativer Daten. - 2.4.2 Darstellung quantitativer Daten. - 2.4.3 Darstellung zeitlicher Veränderungen und Abläufe. - 2.4.4 Darstellung von Richtungsdaten. - 2.4.5 Darstellung von Zusammenhängen. - 2.5 Gestaltung. - 2.5.1 Graphischer Aufbau. - 2.5.2 Graphische Grundelemente. - 2.5.3 Farbe. - 2.5.4 Beschriftungen. - 2.5.5 Kartenrandangaben. - 2.5.6 Zusammenspiel der kartographischen Elemente. - 3 Grundlagen der digitalen Kartographie. - 3.1 Hardwareausstattung des Arbeitsplatzes. - 3.1.1 Aufbau eines PCs. - 3.1.2 Komponenten im Rechnergehäuse. - 3.1.3 Bildschirm. - 3.1.4 Drucker und Plotter. - 3.1.5 Digitalisiertablett. - 3.1.6 Scanner. - 3.1.7 Kartographischer Arbeitsplatz. - 3.2 Software. - 3.2.1 Betriebssysteme. - 3.2.2 Software zur Kartographie. - 3.3 Raster- und Vektordaten. - 3.4 Geometrie- und Sachdaten. - 3.4.1 Koordinaten als Grundlage der Computerkarte. - 3.4.2 Geometriedaten und ihre Quellen. - 3.4.3 Sachdaten: Vorbereitung und Einlesen in die Karte. - 3.4.4 DDE und ODBC. - 3.5 Dateien: Typen und Umgang. - 3.5.1 Dateitypen. - 3.5.2 Graphikdateien. - 3.5.3 Organisation von Dateien. - 3.6 Kartenexport. - 3.7 Kartographie im Netz. - 3.7.1 Internet und seine Dienste. - 3.7.2 Möglichkeiten und Probleme. - 3.7.3 Präsentationsformen. - 3.7.4 Techniken im Web. - 3.8 Geoinformationssysteme. - 4 Software zur Kartenerstellung. - 4.1 Datenorientierte Anwendungen. - 4.2 Kartographie in Tabellenkalkulation und Statistik. - 4.3 Kartographieprogramme. - 4.3.1 ArcView GIS. - 4.3.2 EasyMap. - 4.3.3 Maplnfo Professional. - 4.3.4 MapViewer. - 4.3.5 MERCATOR. - 4.3.6 PCMap. - 4.3.7 PolyPlot. - 4.3.8 RegioGraph. - 4.3.9 THEMAP. - 4.4 Graphikprogramme. - 4.5 Programme zur Bildbearbeitung und -analyse. - 5 Zusammenfassung. - Literatur. - Anhang. - Anhang 1: Wichtige Adressen. - A. Statistische Ämter. - B. Landesvermessungsämter Deutschlands. - Anhang 2: Kartographische Software. - Anhang 3: Die grauen Kästen. - Anhang 4: Dokumentation der CD-ROM. - Index. , Systemvoraussetzungen der CD-ROM: Pentium III, 20 MB freier Festplattenspeicher, mind. 32 MB RAM, empfohlen 64 MB RAM, CD-Laufwerk, Windows 95/98/ME/NT 4.0/2000/XP Home, Internet Browser; Bildschirm mind. 1024x768 Pixel, 256 Farben; Acrobat Reader (Version 5.0 auf CD), Bitte beachten: Nicht jede der 10 Anwendungen lässt sich auf allen genannten Betriebssystemen installieren!