Table of contents

  1. Front Matter
    Pages i-xxviii
  2. General Issues, Historical Background, and Future Perspectives

  3. Observational and Measurement Key Technologies

    1. Front Matter
      Pages 145-145
    2. Henri Laur, Volker Liebig
      Pages 147-170
    3. Nils Olsen, Gauthier Hulot, Terence J. Sabaka
      Pages 227-249
  4. Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)

    1. Front Matter
      Pages 251-251
    2. Helmut Moritz
      Pages 253-289
    3. F. Sansò
      Pages 291-319
    4. Willi Freeden, Michael Schreiner
      Pages 339-379
    5. Erik W. Grafarend, Matthias Klapp, Zdeněk Martinec
      Pages 381-496
    6. Luciana Fenoglio-Marc, Erwin Groten
      Pages 519-544
    7. Julian Kuhlmann, Maik Thomas, Harald Schuh
      Pages 545-565
    8. Sergey Danilov, Jens Schröter
      Pages 567-599
    9. Detlef Wolf
      Pages 623-659
    10. V. Klemann, M. Thomas, H. Schuh
      Pages 661-677
    11. Rainer Helmig, Bernd Flemisch, Markus Wolff, Benjamin Faigle
      Pages 703-749
    12. Matthias Augustin, Rudolf Umla, Manfred Lücke
      Pages 751-778
    13. Johannes Wicht, Stephan Stellmach, Helmut Harder
      Pages 779-834
    14. Terence J. Sabaka, Gauthier Hulot, Nils Olsen
      Pages 835-877
    15. Michael Schmidt, Denise Dettmering, Florian Seitz
      Pages 939-983
    16. Nils Dorband, Martin Fengler, Andreas Gumann, Stefan Laps
      Pages 1057-1088
    17. Christian Blick, Sarah Eberle
      Pages 1089-1125
    18. Rupert Klein
      Pages 1127-1154
    19. Steffen Schön, Gaël Kermarrec
      Pages 1297-1348
    20. Sarah Eberle, Willi Freeden, Ulrich Matthes
      Pages 1349-1385
    21. Martin Baumann, Jochen Förstner, Vincent Heuveline, Jonas Kratzke, Sebastian Ritterbusch, Bernhard Vogel et al.
      Pages 1417-1441
    22. Jörg Renner, Holger Steeb
      Pages 1443-1505
    23. Yuri Luchko
      Pages 1507-1545
    24. Matthias Augustin, Mathias Bauer, Christian Blick, Sarah Eberle, Willi Freeden, Christian Gerhards Maxim Ilyasov et al.
      Pages 1547-1629
  5. Analytic, Algebraic, and Operator Theoretical Methods

    1. Front Matter
      Pages 1631-1631
    2. Paul N. Eggermont, Vincent LaRiccia, M. Zuhair Nashed
      Pages 1633-1658
    3. Markus Grasmair, Markus Haltmeier, Otmar Scherzer
      Pages 1659-1687
    4. Shuai Lu, Sergei V. Pereverzev
      Pages 1689-1711

About this book


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 space borne 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 of Geomathematics’ deals with the qualitative and quantitative properties for the current and possible structures of the system Earth. As a central reference work it comprises the following geoscientific 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.


Constructive approximation Differential equations Geomathematics Inverse problems Mathematical modeling

Editors and affiliations

  • Willi Freeden
    • 1
  • M. Zuhair Nashed
    • 2
  • Thomas Sonar
    • 3
  1. 1.Geomathematics GroupUniversity of KaiserslauternKaiserslauternGermany
  2. 2.Department of MathematicsUniversity of Central FloridaOrlandoUSA
  3. 3.Computational MathematicsTechnische Universität BraunschweigBraunschweigGermany

Bibliographic information