An Invitation to Geomathematics

The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduce... Ausführliche Beschreibung

1. Person: Freeden, Willi
Weitere Körperschaften: SpringerLink (Online service)
Weitere Personen: Heine, Clemens [author]; Nashed, M. Zuhair [author]
Format: E-Buch
Sprache: English
Veröffentlicht: Cham Springer International Publishing 2019, 2019
Beschreibung: XVI, 129 p. 39 illus., 33 illus. in color online resource
Ausgabe: 1st ed. 2019
Serien: Lecture Notes in Geosystems Mathematics and Computing
Schlagworte: Differential equations, partial
Integral equations
Potential Theory
Potential theory (Mathematics)
Partial Differential Equations
Integral Equations
Online Zugang: Volltext
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245 0 0 |a An Invitation to Geomathematics  |h Elektronische Ressource  |c by Willi Freeden, Clemens Heine, M. Zuhair Nashed 
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505 0 |a Novel Exploration Methods -- Recent Activities in Geomathematics -- Appendix: GEM - International Journal on Geomathematics -- Reference -- Index 
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653 |a Integral equations 
653 |a Potential Theory 
653 |a Potential theory (Mathematics) 
653 |a Partial Differential Equations 
653 |a Integral Equations 
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700 1 |a Nashed, M. Zuhair  |e [author] 
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490 0 |a Lecture Notes in Geosystems Mathematics and Computing 
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520 |a The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given 

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