Handbook Of Geomathematics

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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 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, 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. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

E-Book Content

Handbook of Geomathematics Willi Freeden, M. Zuhair Nashed, Thomas Sonar (Eds.) Handbook of Geomathematics Volume  With  Figures and  Tables 123 Willi Freeden Geomathematics Group Technische Universität Kaiserslautern P. O. Box   Kaiserslautern Germany M. Zuhair Nashed Department of Mathematics University of Central Florida Orlando, FL  USA Thomas Sonar Computational Mathematics Technische Universität Braunschweig Pockelsstraße   Braunschweig Germany Library of Congress Control Number:  ISBN: –––– This publication is available also as: Electronic publication under ISBN –––– and Print and electronic bundle under ISBN –––– This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September , , in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg  The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Springer is part of Springer Science+Business Media springer.com Editor: Clemens Heine, Heidelberg, Germany Development Editor: Sylvia Blago, Heidelberg, Germany Production: SPI-Publishing, Pondicherry, India Cover Design: Frido Steinen-Broo, Girona, Spain Printed on acid-free paper Preface Mathematics concerned with problems of geoscientifical relevance, i.e., geomathematics, is becoming increasingly important. Surprisingly, there is no authoritative mathematical forum offering appropriate means of assimilating, assessing, and reducing to comprehensible form the readily increasing flow of data from geochemical, geodetic, geological, geophysical, and satellite sources and providing an objective basis for scientific interpretation, classification, testing of concepts, modeling, simulation, and solution of problems. Therefore, it seems that the stage is set for a “Handbook of Geomathematics” as
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