Editors: István Faragó, Ágnes Havasi, Zahari Zlatev

Advanced Numerical Methods for Complex Environmental Models: Needs and Availability

eBook: US $79 Special Offer (PDF + Printed Copy): US $186
Printed Copy: US $147
Library License: US $316
ISBN: 978-1-60805-777-1 (Print)
ISBN: 978-1-60805-778-8 (Online)
Year of Publication: 2013
DOI: 10.2174/97816080577881130101


High air pollution levels pose a significant threat to plants, animals and human beings. Efforts by researchers are directed towards keeping air pollution levels below well defined ‘critical‘ levels in order to maintain a sustainable atmosphere and environmental system. The application of advanced mathematical models is important for researchers to achieve this goal as efficiently as possible.

Mathematical models can be used to predict answers to many important questions about the environment. However, their application will be successful only when several theoretical and practical obstacles are efficiently removed. A successfully applicable mathematical model needs to enable researchers to

  • - Mathematically describe all important physical and chemical processes.
  • - Apply fast and sufficiently accurate numerical methods.
  • - Ensure that the model runs efficiently on modern high speed computers.
  • - Use high quality input data, both meteorological data and emission inventories, in the runs.
  • - Verify the model results by comparing them with reliable measurements taken in different parts of the spatial domain of the model.
  • - Carry out long series of sensitivity experiments to check the response of the model to changes of different key parameters.
  • - Visualize and animate the output results in order to make them easily understandable even to non-specialists.

This monograph thoroughly describes mathematical methods useful for various situations in environmental modeling - including finite difference methods, splitting methods, parallel computation, etc. - and provides a framework for resolving problems posed in relation to the points listed above. Chapters are written by well-known specialists making this book a handy reference for researchers, university teachers and students working and studying in the areas of air pollution, meteorology, applied mathematics and computer science.

Foreword by László Bozó

- Pp. i-ii (2)
László Bozó
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Foreword by Clemens Mensink

- Pp. iii-iv (2)
Clemens Mensink
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- Pp. v-vi (2)
István Faragó, Ágnes Havasi, Zahari Zlatev
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List of Contributors

- Pp. vii-ix (3)
István Faragó, Ágnes Havasi, Zahari Zlatev
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Treatment of Some Classes of PDEs and ODEs Part A: Complex Numerical Atmospheric Environmental Models - Overall Description and Applications

- Pp. 3-28 (26)
Adolf Ebel, Michael Memmesheimer
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Part B: Finite-Difference Methods for Extremely Anisotropic Diffusion

- Pp. 29-52 (24)
Bram van Es, Barry Koren, Hugo J. de Blank
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Part C: Treatment of the Chemical Reactions in an Air Pollution Model

- Pp. 53-78 (26)
István Faragó, Ágnes Havasi, Zahari Zlatev
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Introduction of Splitting Procedures Part A: Implementation of Splitting Procedures

- Pp. 79-125 (47)
István Faragó, Ágnes Havasi, Zahari Zlatev
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Part B: Application of Splitting in an Air Pollution Model

- Pp. 126-165 (40)
István Faragó, Ágnes Havasi, Zahari Zlatev
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Parallel Computations in a Large-Scale Air Pollution Model

- Pp. 166-202 (37)
Zahari Zlatev, Krassimir Georgiev, Ivan Dimov
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Handling of Some Classes of Inverse Problems Part A: Adjoint Methods and their Application in Earth Sciences

- Pp. 203-275 (73)
Tamás Práger, Fanni Dóra Kelemen
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Part B: Sensitivity Analysis in Nonlinear Variational Data Assimilation: Theoretical Aspects and Applications

- Pp. 276-300 (25)
Dacian N. Daescu, Ionel M. Navon
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Part C: Sensitivity of European Pollution Levels to Changes of Human-Made Emissions

- Pp. 301-326 (26)
Zahari Zlatev, Krassimir Georgiev, Ivan Dimov
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Studying the Air Quality and the Influence of Climate Changes on Our Environment Part A: Air Quality Modeling at Street-Scale

- Pp. 327-364 (38)
Carlos Borrego, Jorge H. Amorim, Oxana Tchepel, Ana M. Costa, Ana I. Miranda
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Part B: Operational Forecasting System to Evaluate the Impact of Industrial Sources on the Air Quality

- Pp. 365-393 (29)
Roberto San José, Juan L. Pérez, Rosa M. González
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Part C: Uncertainty Analysis of the Regional Climate Model PRECIS

- Pp. 394-415 (22)
Ildikó Pieczka, Rita Pongrácz, Judit Bartholy
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- Pp. 416-424 (9)
István Faragó, Ágnes Havasi, Zahari Zlatev
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