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Handbook of Geomathematics, 3 Pts.

 Buch
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9783642545504
Einband:
Buch
Seiten:
3170
Autor:
Willi Freeden
Gewicht:
5648 g
Format:
242x178x169 mm
Sprache:
Englisch
Beschreibung:

This book covers key facets of Geomathematics including observational and measurement technologies, modelling of Earth systems, algebraic, statistical, stochastic, computational and numerical methods of analysis, historical background and future perspectives.
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...
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as space borne data of better and better quality explain the strong need of new mathematical structures, tools and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important.

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.

This book covers key facets of Geomathematics including observational and measurement technologies, modelling of Earth systems, algebraic, statistical, stochastic, computational and numerical methods of analysis, historical background and future perspectives.
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...
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as space borne data of better and better quality explain the strong need of new mathematical structures, tools and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important.

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.
Editiert von: Willi Freeden, M. Zuhair Nashed, Thomas Sonar
Prof. Dr. Willi Freeden is working at the Technische Universität Kaiserslautern. His Subjects of Research are:special functions of mathematical (geo)physics (in particular orthogonal polynomials, (scalar, vectorial, tensorial) spherical harmonics, Bessel and Hankel functions, etc.)partial differential equations (potential theory, elasticity, electromagnetism, fluid dynamics, refraction, geothermal flow)constructive approximation (in particular radial basis functions, finite elements, splines, wavelets etc.), integral transformsnumerical methods ("scientific computing", particularly of georelevant problems in potential theory, elasticity and electromagnetic theory)inverse problems in geophysics, geodesy and satellite technology (e.g., geomagnetics, gravimetry, satellite to satellite tracking, satellite gradiometry, seismics, etc.)mathematics in industry: transfer of mathematical know how into (geo)practice, in particular in geothermal research.

M. Zuhair Nashed is professor of Mathematics at the University of Central Florida. His research interests include:
Integral and Operator Equations, Inverse and Ill-posed Problems, Numerical and Nonlinear Functional Analysis, Optimization and Approximation Theory, Operator Theory, Optimal Control Theory, Signal Analysis and Signal Processing.

Thomas Sonar is professor of Mathematics and head of the Institute of Computational Mathematics at Technische Universität Braunschweig.
Autor: Willi Freeden
ISBN-13:: 9783642545504
ISBN: 3642545505
Verlag: Springer, Berlin
Gewicht: 5648g
Seiten: 3170
Sprache: Englisch
Auflage 2. Aufl.
Sonstiges: Buch, 242x178x169 mm, 255 SW-Abb., 523 Farbabb.