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Computational and numerical challeng...

Dimov, Ivan, (1963-)

Computational and numerical challenges in environmental modelling

Record Type:	Electronic resources : Monograph/item
Title/Author:	Computational and numerical challenges in environmental modellingZahari Zlatev, Ivan Dimov.
Author:	Zlatev, Zahari,
other author:	Dimov, Ivan,
Published:	Amsterdam ;Elsevier,c2006.
Description:	xviii, 373 p. :ill. (some col.), maps (some col.) ;25 cm.
Series:	Studies in computational mathematics,
Subject:	Environmental protectionMathematical models.
Online resource:	An electronic book accessible through the World Wide Web; click for information
Online resource:	http://www.engineeringvillage.com/controller/servlet/OpenURL?genre=book&isbn=9780444522092
Online resource:	http://www.loc.gov/catdir/enhancements/fy0634/2006044586-d.html
ISBN:	9780444522092

Computational and numerical challenges in environmental modelling
Zlatev, Zahari,1939-

Computational and numerical challenges in environmental modelling[electronic resource] /Zahari Zlatev, Ivan Dimov. - 1st ed. - Amsterdam ;Elsevier,c2006. - xviii, 373 p. :ill. (some col.), maps (some col.) ;25 cm. - Studies in computational mathematics,131570-579X ;.

Includes bibliographical references (p. 333-356) and indexes.

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 advection-diffusion 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.

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 (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.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444522092

Source: 131877:131984Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

454284
Environmental protection
--Mathematical models.Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: TD170.2 / .Z62 2006eb

Dewey Class. No.: 577.01/5118

Computational and numerical challenges in environmental modelling
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100 1 $a Zlatev, Zahari, $d 1939- $3 454283
245 1 0 $a Computational and numerical challenges in environmental modelling $h [electronic resource] / $c Zahari Zlatev, Ivan Dimov.
250 $a 1st ed.
260 $a Amsterdam ; $a Boston : $b Elsevier, $c c2006.
300 $a xviii, 373 p. : $b ill. (some col.), maps (some col.) ; $c 25 cm.
440 0 $a Studies in computational mathematics, $x 1570-579X ; $v 13
504 $a Includes bibliographical references (p. 333-356) and indexes.
505 0 $a 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 advection-diffusion 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.
520 $a 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 (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.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on Aug. 2, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Environmental protection $x Mathematical models. $3 454284
650 0 $a Ecology $x Mathematical models. $3 188710
650 0 $a Pollution $x Mathematical models. $3 202448
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Dimov, Ivan, $d 1963- $3 344706
710 2 $a ScienceDirect (Online service) $3 307425
776 1 $c Original $z 0444522093 $z 9780444522092 $w (DLC) 2006044586 $w (OCoLC)66393646
856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/publication?issn=1570579X&volume=13 $z An electronic book accessible through the World Wide Web; click for information
856 4 0 $3 Referex $u http://www.engineeringvillage.com/controller/servlet/OpenURL?genre=book&isbn=9780444522092 $z An electronic book accessible through the World Wide Web; click for information
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy0634/2006044586-d.html
994 $a C0 $b TEF

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