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...
| Published in: | Springer eBooks |
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| Corporate Author: | |
| Other Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2015.
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| Edition: | 2nd ed. 2015. |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-642-54551-1 Перейти в каталог НБ ТГУ |
Table of Contents:
- 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.