Edition 
1st ed. 
Description 
1 online resource (xviii, 373 pages) : illustrations (some color), maps (some color) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file 
Series 
Studies in computational mathematics, 1570579X ; 13 

Studies in computational mathematics ; 13. 1570579X

Summary 
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 timesteps (up to several hundred thousand timesteps). 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 reiterate, 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 (a) it is very important to select fast numerical methods as well as (b) 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.  Use of templates in connection with the treatment of very large models  Performance of comprehensive environmental studies  Obtaining reliable and robust information about pollution levels  Studying the impact of future climatic changes on high pollution levels  Investigating trends related to critical levels of pollution. 
Contents 
Preface  Acknowledgements  Contents  1. PDE systems arising in air pollution modelling and justification of the need for high speed computers  2. Using splitting techniques in the treatment of air pollution models  3. Treatment of the advectiondiffusion phenomena  4. Treatment of the chemical part: general ideas and major numerical methods  5. Error analysis of the partitioning procedures  6. Efficient organization of the matrix computations  7. Parallel computations  8. Studying high pollution levels  9. Impact of future climate changes on high pollution levels  10. Implementation of variational data assimilation  11. Discussion of some open questions  Appendix A: Colour plots  Bibliography  Symbol Table  Author Index  Subject Index. 
Bibliography 
Includes bibliographical references (pages 333356) and indexes. 
Note 
Print version record. 
Subject 
Environmental protection  Mathematical models.


Ecology  Mathematical models.


Pollution  Mathematical models.


Environnement  Protection  Modèles mathématiques.


Pollution  Modèles mathématiques.


SCIENCE  Environmental Science (see also Chemistry  Environmental)


NATURE  Ecosystems & Habitats  Wilderness.


NATURE  Ecology.


SCIENCE  Life Sciences  Ecology.


Ecology  Mathematical models


Environmental protection  Mathematical models


Pollution  Mathematical models

Added Author 
Dimov, Ivan, 1963

Other Form: 
Print version: Zlatev, Zahari, 1939 Computational and numerical challenges in environmental modelling. 1st ed. Amsterdam ; Boston : Elsevier, ©2006 0444522093 9780444522092 (DLC) 2006044586 (OCoLC)66393646 
ISBN 
9780444522092 

0444522093 

0080462480 (electronic bk.) 

9780080462486 (electronic bk.) 
Standard No. 
AU@ 000044897123 

AU@ 000048130125 

AU@ 000056736454 

CHNEW 001006661 

DEBBG BV036962360 

DEBBG BV039830228 

DEBBG BV042317352 

DEBSZ 27681035X 

DEBSZ 482355999 

NZ1 12435176 

AU@ 000075312621 
