Handbook of Geomathematics

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 g...

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Bibliographic Details
Other Authors: Freeden, Willi (Editor), Nashed, M. Zuhair (Editor), Sonar, Thomas (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2015, 2015
Edition:2nd ed. 2015
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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
  • 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
  • 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
  • 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