Computational and Numerical Challenges in Environmental Modelling

Autor: Ivan T. Dimov, Zahari Zlatev

Jazyk:

Väzba: Pevná

Vydavateľ: Elsevier Science & Technology

Dostupnosť: U vydavateľa na objednávku

Odosielame za 28-34 dní

176.69 €

Many large mathematical models, not only models arising and used in environmental studies, are descr...

Informácie o knihe

Autor

Ivan T. Dimov, Zahari Zlatev

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2006

Stránok

392

EAN

9780444522092

ISBN

0444522093

Enbook ID

04611554

Vydavateľ

Elsevier Science & Technology

Hmotnosť

830

Rozmery

165 x 240 x 21

Kompletný popis

Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way. The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while: it is very important to select fast numerical methods as well as; it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. It presents the use of templates in connection with the treatment of very large models. It talks about the performance of comprehensive environmental studies and obtaining reliable and robust information about pollution levels. It studies the impact of future climatic changes on high pollution levels and investigates the trends related to critical levels of pollution.

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Computational and Numerical Challenges in Environmental Modelling

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