Geomathematics: Its Role, Its Aim, and Its Potential

Willi Freeden
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Willi Freeden: Technische Universität Kaiserslautern, Geomathematics Group

Chapter 1 in Handbook of Geomathematics, 2010, pp 1-42 from Springer

Abstract: Abstract 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 more and more enter all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, namely 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 chapter deals with geomathematics, its role, its aim, and its potential. Moreover, the “circuit” geomathematics is exemplified by two classical problems involving the Earth’s gravity field, namely gravity field determination from terrestrial deflections of the vertical and ocean flow modeling from satellite (altimeter measured) ocean topography.

Keywords: Gravity Field; Mantle Plume; Geoidal Height; Equipotential Surface; Gravity Disturbance (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-01546-5_1

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DOI: 10.1007/978-3-642-01546-5_1

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