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Computational and numerical challenges in environmental modelling /

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 sy...

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Bibliographic Details
Main Authors: Zlatev, Zahari, 1939
Corporate Authors: Elsevier Science & Technology
Group Author: Dimov, Ivan, 1963
Published: Elsevier,
Publisher Address: Amsterdam :
Publication Dates: 2006.
Literature type: eBook
Language: English
Edition: First edition.
Series: Studies in computational mathematics, 13
Subjects:
Environmental protection > Mathematical models
Ecology > Mathematical models
Pollution > Mathematical models
SCIENCE > Environmental Science see also Chemistry > Environmental
NATURE > Ecosystems & Habitats > Wilderness
NATURE > Ecology
SCIENCE > Life Sciences > Ecology
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/1570579X/13
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 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
Carrier Form: 1 online resource (xviii, 373 pages) : illustrations (some color), maps (some color).
Bibliography: Includes bibliographical references (pages 333-356) and indexes.
ISBN: 9780444522092
0444522093
0080462480
9780080462486
Index Number: TD170
CLC: X11
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 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.

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