1.

Record Nr.

UNINA9910338252003321

Autore

Freeden Willi

Titolo

An Invitation to Geomathematics / / by Willi Freeden, Clemens Heine, M. Zuhair Nashed

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019

ISBN

3-030-13054-1

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (140 pages)

Collana

Lecture Notes in Geosystems Mathematics and Computing, , 2730-5996

Disciplina

550.151

551.0151

Soggetti

Partial differential equations

Integral equations

Potential theory (Mathematics)

Partial Differential Equations

Integral Equations

Potential Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Earth Science System -- Geomathematics -- Exemplary Applications: Novel Exploration Methods -- Recent Activities in Geomathematics -- Appendix: GEM - International Journal on Geomathematics -- Reference -- Index.

Sommario/riassunto

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.