Buch, Englisch, 3170 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 5301 g
Buch, Englisch, 3170 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 5301 g
ISBN: 978-3-642-54550-4
Verlag: Springer
The ‘Handbook of Geomathematics’ deals with the qualitative and quantitative properties for the current and possible structures of the system Earth. As a central reference work it comprises the following geoscientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.
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Research
Autoren/Hrsg.
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Weitere Infos & Material
Part 1: General Issues, Historical Background, and Future Perspectives.- Geomathematics: Its Role, Its Aim, and Its Potential.- Navigation on Sea: Topics in the History of Geomathematics.- Gauss and Weber’s “Atlas des Erdmagnetismus” (1840) Was Not the First: History of the Geomagnetic Atlases.- Part 2: Observational and Measurement Key Technologies.- Earth Observation Satellite Missions and Data Access.- Satellite-to-Satellite Tracking (Low-Low/High-Low SST).- GOCE: Gravitational Gradiometry in a Satellite.- Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation.- Part 3: Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere).- Classical Physical Geodesy.- Geodetic Boundary Value Problem.- Time-Variable Gravity Field and Global Deformation of the Earth.- Satellite Gravity Gradiometry (SGG): From Scalar to Tensorial Solution.- Spacetime Modelling of the Earth’s Gravity Field by Ellipsoidal Harmonics.- Multiresolution Analysis of Hydrology and Satellite Gravitational Data Time Varying Mean Sea Level.- Self-Attraction and Loading of Oceanic Masses.- Unstructured Meshes in Large-Scale Ocean Modeling.- Numerical Methods in Support of Advanced Tsunami Early Warning.- Gravitational Viscoelastodynamics.- Elastic and Viscoelastic Reaction of the Lithosphere to Loads.- Use of Multiscale Methods in Geomathematics.- Efficient Modeling of Flow and Transport in Porous Media Using.- Multiphysics and Multiscale Approaches.- Convection Structures of Binary Fluid Mixtures in Porous Media.- Numerical Dynamo Simulations: From Basic Concepts to Realistic Models.- Mathematical Properties Relevant to Geomagnetic Field Modeling.- Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents.- Toroidal - Poloidal Decompositions of Electromagnetic Green's Functions in Geomagnetic Induction.- Using B-Spline Expansions for Ionosphere Modeling.- The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data.- Climate Dynamics.- Modern Techniques for Numerical Weather Prediction: A Picture Drawn from Kyrill.- Radio Occultation via Satellites.- Asymptotic Models for Atmospheric Flows.- Stokes Problem, Layer Potentials and Regularizations, Multiscale Applications.- On High Reynolds Number Aerodynamics - Separated Flows.-Turbulence Theory.- Analysis of Forest Fire Spreading Theory.- Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation.- Model-based Visualization of Instationary Geo-Data with Application to Volcano Ash Data.- Modeling of Fluid Transport in Geothermal Research.- Fractional Diffusion and Wave Propagation.- Modeling Deep Geothermal Reservoirs: Recent Advances and Future Problems.- Part 4: Analytic, Algebraic, and Operator Theoretical Methods.- Noise Models for Ill-Posed Problems.- Sparsity in Inverse Geophysical Problems.- Multiparameter Regularization in Downward Continuation of Satellite Data.- Evaluation of Parameter Choice Methods for Regularization of Ill-Posed Problems in Geomathematics.- Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment.- Correlation Modeling of the Gravity Field in Classical Geodesy.- Inverse Resistivity Problems in Computational Geoscience.- Identification of Current Sources in 3D Electrostatics.- Numerical Simulation and Inversion for Geo-Electromagnetic Methods.- Transmission Tomography in Seismology.- Numerical Algorithms for Non-Smooth Optimization Applicable to Seismic Recovery.- Strategies in Adjoint Tomography.- Potential-field Estimation using Scalar and Vector Slepian Functions at Satellite Altitude.- Multidimensional Seismic Compression by Hybrid Transform with Multiscale Based Coding Tomography: Problems and Multiscale Solutions.- RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences.- Material Behavior: Texture and Anisotropy.- Rayleigh Wave Dispersive Properties of a Vector Displacement as a Tool for P- and S-wave Velocities Near Surface Profiling.- Dynamic Simulation of Land Use Change and Management Effects on Soil N2O Emissions.- Part 5: Statistical and Stochastic Methods.- Selected Statistical Methods.- Statistical Analysis of Climate Series.- Oblique Stochastic Boundary-Value Problem.- Geodetic Deformation Analysis with Respect to an Extended Uncertainty Budget).- It's All About Statistics Global Gravity Field Modeling from GOCE and Complementary Data.- Mixed Integer Estimation and Validation for Next Generation GNSS.- Mixed Integer Linear Models.- Part 6: Special Function Systems and Methods.- Special Functions in Mathematical Geosciences: An Attempt at a Categorization.- Clifford Analysis and Harmonic Polynomials.- Splines and Wavelets on Geophysically Relevant Manifolds.- Slepian Functions and Their Use in Signal Estimation and Spectral Analysis.- Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis.- Low Discrepancy Methods.- Part 7: Computational and Numerical Methods.- Radial Basis Function-generated Finite Differences: A Mesh-free Method for Computational Geosciences.- Numerical Integration on the Sphere.- Fast Spherical/Harmonic Spline Modeling.- Multiscale Approximation.- Sparse Solutions of Underdetermined Linear Systems.- Nonlinear Methods for Dimensionality Reduction.- Part 8: Cartographic, Photogrammetric, Information Systems and Methods.- Cartography.- Map Projections: Cartographic Information Systems.- Modeling Uncertainty of Complex Earth Systems in Metric Space.- Geometrical Reference System.- Analysis of Data from Multi-Satellite Geospace Missions.- Geodetic World Height System Unification.- Mathematical Foundations of Photogrammetry.- Potential Methods and Geoinformation Systems.- Geoinformatics.