Mathematische Methoden

Freeden, Willi; Nutz, Helga

doi:10.1007/978-3-642-54511-5_4

Cited by 11 publications

(3 citation statements)

References 121 publications

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“…38 and 39). An essential tool is a new class of locally supported wavelets (see Freeden and Blick 2013;Freeden and Nutz 2014) …”

Section: Development Of a Mathematical Solution Methodsmentioning

confidence: 99%

“…More material can be found in Augustin (2014), Augustin et al (2012), Bauer et al (2014), Nutz (2014), andOstermann (2011).…”

Section: Circuit: Seismic Processing From Acoustic Wave Tomographymentioning

confidence: 95%

“…Here, K is the bulk modulus of the material. In order to connect pressure changes to the displacement (see also Freeden and Nutz 2014), we observe that a small volume V may be written as V D dx 1 dx 2 dx 3 . It is transformed to…”

Section: Mathematical Analysis Of Acoustic Wave Propagationmentioning

confidence: 99%

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Geomathematics: Its Role, Its Aim, and Its Potential

Freeden

2014

Handbook of Geomathematics

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During the last decades, geosciences and geoengineering were influenced by two essential scenarios: First, the technological progress has completely changed the observational and measurement techniques. Modern high-speed computers and satellite-based techniques are more and more entering all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, and 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 spaceborne data of better and better quality, explain the strong need of new mathematical structures, tools, and methods, i.e., geomathematics.This paper deals with geomathematics, its role, its aim, and its potential. Moreover, the "circuit" geomathematics is exemplified by three problems involving the Earth's structure, namely, gravity field determination from terrestrial deflections of the vertical, ocean flow modeling from satellite (altimeter measured) ocean topography, and reservoir detection from (acoustic) wave tomography.

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“…38 and 39). An essential tool is a new class of locally supported wavelets (see Freeden and Blick 2013;Freeden and Nutz 2014) …”

Section: Development Of a Mathematical Solution Methodsmentioning

confidence: 99%

“…More material can be found in Augustin (2014), Augustin et al (2012), Bauer et al (2014), Nutz (2014), andOstermann (2011).…”

Section: Circuit: Seismic Processing From Acoustic Wave Tomographymentioning

confidence: 95%