Handbook of Geomathematics

Freeden, Willi; Nashed, M. Zuhair; Sonar, Thomas

Handbook of Geomathematics

Edited by Willi Freeden (), M. Zuhair Nashed () and Thomas Sonar ()

Date: 2015
Edition: 2nd ed. 2015
ISBN: 978-3-642-54551-1
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Chapters in this book:

Geomathematics: Its Role, Its Aim, and Its Potential: Willi Freeden
Navigation on Sea: Topics in the History of Geomathematics: Thomas Sonar
Gauss’ and Weber’s “Atlas of Geomagnetism” (1840) Was not the first: the History of the Geomagnetic Atlases: Karin Reich and Elena Roussanova
Earth Observation Satellite Missions and Data Access: Henri Laur and Volker Liebig
Satellite-to-Satellite Tracking (Low-Low/High-Low SST): Wolfgang Keller
GOCE: Gravitational Gradiometry in a Satellite: Reiner Rummel
Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation: Nils Olsen, Gauthier Hulot and Terence J. Sabaka
Classical Physical Geodesy: Helmut Moritz
Geodetic Boundary Value Problem: F. Sansò
Time-Variable Gravity Field and Global Deformation of the Earth: Jürgen Kusche
Satellite Gravity Gradiometry (SGG): From Scalar to Tensorial Solution: Willi Freeden and Michael Schreiner
Spacetime Modeling of the Earth’s Gravity Field by Ellipsoidal Harmonics: Erik W. Grafarend, Matthias Klapp and Zdeněk Martinec
Multiresolution Analysis of Hydrology and Satellite Gravitational Data: Helga Nutz and Kerstin Wolf
Time-Varying Mean Sea Level: Luciana Fenoglio-Marc and Erwin Groten
Self-Attraction and Loading of Oceanic Masses: Julian Kuhlmann, Maik Thomas and Harald Schuh
Unstructured Meshes in Large-Scale Ocean Modeling: Sergey Danilov and Jens Schröter
Numerical Methods in Support of Advanced Tsunami Early Warning: Jörn Behrens
Gravitational Viscoelastodynamics: Detlef Wolf
Elastic and Viscoelastic Response of the Lithosphere to Surface Loading: V. Klemann, M. Thomas and H. Schuh
Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics: Yalchin Efendiev and Michael Presho
Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches: Rainer Helmig, Bernd Flemisch, Markus Wolff and Benjamin Faigle
Convection Structures of Binary Fluid Mixtures in Porous Media: Matthias Augustin, Rudolf Umla and Manfred Lücke
Numerical Dynamo Simulations: From Basic Concepts to Realistic Models: Johannes Wicht, Stephan Stellmach and Helmut Harder
Mathematical Properties Relevant to Geomagnetic Field Modeling: Terence J. Sabaka, Gauthier Hulot and Nils Olsen
Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents: Christian Gerhards
Toroidal-Poloidal Decompositions of Electromagnetic Green’s Functions in Geomagnetic Induction: Jin Sun
Using B-Spline Expansions for Ionosphere Modeling: Michael Schmidt, Denise Dettmering and Florian Seitz
The Forward and Adjoint Methods of Global Electromagnetic Induction for CHAMP Magnetic Data: Zdeněk Martinec
Modern Techniques for Numerical Weather Prediction: A Picture Drawn from Kyrill: Nils Dorband, Martin Fengler, Andreas Gumann and Stefan Laps
Radio Occultation via Satellites: Christian Blick and Sarah Eberle
Asymptotic Models for Atmospheric Flows: Rupert Klein
Stokes Problem, Layer Potentials and Regularizations, and Multiscale Applications: Carsten Mayer and Willi Freeden
On High Reynolds Number Aerodynamics: Separated Flows: Mario Aigner
Turbulence Theory: Steffen Schön and Gaël Kermarrec
Forest Fire Spreading: Sarah Eberle, Willi Freeden and Ulrich Matthes
Phosphorus Cycles in Lakes and Rivers: Modeling, Analysis, and Simulation: Andreas Meister and Joachim Benz
Model-Based Visualization of Instationary Geo-Data with Application to Volcano Ash Data: Martin Baumann, Jochen Förstner, Vincent Heuveline, Jonas Kratzke, Sebastian Ritterbusch, Bernhard Vogel and Heike Vogel
Modeling of Fluid Transport in Geothermal Research: Jörg Renner and Holger Steeb
Fractional Diffusion and Wave Propagation: Yuri Luchko
Modeling Deep Geothermal Reservoirs: Recent Advances and Future Perspectives: Matthias Augustin, Mathias Bauer, Christian Blick, Sarah Eberle, Willi Freeden, Christian Gerhards Maxim Ilyasov, René Kahnt, Matthias Klug, Sandra Möhringer, Thomas Neu, Helga Nutz, Isabel Michel née Ostermann and Alessandro Punzi
Noise Models for Ill-Posed Problems: Paul N. Eggermont, Vincent LaRiccia and M. Zuhair Nashed
Sparsity in Inverse Geophysical Problems: Markus Grasmair, Markus Haltmeier and Otmar Scherzer
Multiparameter Regularization in Downward Continuation of Satellite Data: Shuai Lu and Sergei V. Pereverzev
Evaluation of Parameter Choice Methods for Regularization of Ill-Posed Problems in Geomathematics: Frank Bauer, Martin Gutting and Mark A. Lukas
Quantitative Remote Sensing Inversion in Earth Science: Theory and Numerical Treatment: Yanfei Wang
Correlation Modeling of the Gravity Field in Classical Geodesy: Christopher Jekeli
Inverse Resistivity Problems in Computational Geoscience: Alemdar Hasanov (Hasanoǧlu) and Balgaisha Mukanova
Identification of Current Sources in 3D Electrostatics: Aron Sommer, Andreas Helfrich-Schkarbanenko and Vincent Heuveline
Transmission Tomography in Seismology: Guust Nolet
Numerical Algorithms for Non-smooth Optimization Applicable to Seismic Recovery: Ignace Loris
Strategies in Adjoint Tomography: Yang Luo, Ryan Modrak and Jeroen Tromp
Potential-Field Estimation Using Scalar and Vector Slepian Functions at Satellite Altitude: Alain Plattner and Frederik J. Simons
Multidimensional Seismic Compression by Hybrid Transform with Multiscale-Based Coding: Amir Z. Averbuch, Valery A. Zheludev and Dan D. Kosloff
Tomography: Problems and Multiscale Solutions: Volker Michel
RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences: Volker Michel
Material Behavior: Texture and Anisotropy: Ralf Hielscher, David Mainprice and Helmut Schaeben
Rayleigh Wave Dispersive Properties of a Vector Displacement as a Tool for P- and S-Wave Velocities Near Surface Profiling: Andrey Konkov, Andrey Lebedev and Sergey Manakov
Simulation of Land Management Effects on Soil N2O Emissions Using a Coupled Hydrology-Biogeochemistry Model on the Landscape Scale: Martin Wlotzka, Vincent Heuveline, Steffen Klatt, Edwin Haas, David Kraus, Klaus Butterbach-Bahl, Philipp Kraft and Lutz Breuer
An Introduction to Prediction Methods in Geostatistics: Ralf Korn and Alexandra Kochendörfer
Statistical Analysis of Climate Series: Helmut Pruscha
Oblique Stochastic Boundary-Value Problem: Martin Grothaus and Thomas Raskop
Geodetic Deformation Analysis with Respect to an Extended Uncertainty Budget: Hansjörg Kutterer
It’s All About Statistics: Global Gravity Field Modeling from GOCE and Complementary Data: Roland Pail
Mixed Integer Estimation and Validation for Next Generation GNSS: Peter J. G. Teunissen
Mixed Integer Linear Models: Peiliang Xu
Special Functions in Mathematical Geosciences: An Attempt at a Categorization: Willi Freeden and Michael Schreiner
Clifford Analysis and Harmonic Polynomials: Klaus Gürlebeck and Wolfgang Sprößig
Splines and Wavelets on Geophysically Relevant Manifolds: Isaac Pesenson
Scalar and Vector Slepian Functions, Spherical Signal Estimation and Spectral Analysis: Frederik J. Simons and Alain Plattner
Dimension Reduction and Remote Sensing Using Modern Harmonic Analysis: John J. Benedetto and Wojciech Czaja
Radial Basis Function-Generated Finite Differences: A Mesh-Free Method for Computational Geosciences: Natasha Flyer, Grady B. Wright and Bengt Fornberg
Numerical Integration on the Sphere: Kerstin Hesse, Ian H. Sloan and Robert S. Womersley
Fast Spherical/Harmonic Spline Modeling: Martin Gutting
Multiscale Approximation: Stephan Dahlke
Sparse Solutions of Underdetermined Linear Systems: Inna Kozlov and Alexander Petukhov
Nonlinear Methods for Dimensionality Reduction: Charles K. Chui and Jianzhong Wang
Cartography: Liqiu Meng
Theory of Map Projection: From Riemann Manifolds to Riemann Manifolds: Erik W Grafarend
Modeling Uncertainty of Complex Earth Systems in Metric Space: Jef Caers, Kwangwon Park and Céline Scheidt
Geometrical Reference Systems: Manuela Seitz, Detlef Angermann, Michael Gerstl, Mathis Bloßfeld, Laura Sánchez and Florian Seitz
Analysis of Data from Multi-satellite Geospace Missions: Joachim Vogt
Geodetic World Height System Unification: Michael Sideris
Mathematical Foundations of Photogrammetry: Konrad Schindler
Potential Methods and Geoinformation Systems: Hans-Jürgen Götze
Geoinformatics: Monika Sester

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DOI: 10.1007/978-3-642-54551-1

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