Mathematical Models in Environmental Problems

Mathematical Models in Environmental Problems
Author: G.I. Marchuk
Publisher: Elsevier
Total Pages: 221
Release: 2011-08-18
Genre: Science
ISBN: 0080875378

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Mathematical Models in Environmental Problems

Mathematical Modeling in the Environment

Mathematical Modeling in the Environment
Author: Charles R. Hadlock
Publisher: American Mathematical Soc.
Total Pages: 302
Release: 2020-05-05
Genre: Mathematics
ISBN: 088385709X

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This book has a dual objective: first to introduce the reader to some of the most important and widespread environmental issues of the day; and second to illustrate the vital role played by mathematical models in investigating these issues. The subjects covered are ground water contamination, air pollution, and hazardous materials emergencies. These issues are presented in their full real-world context and are used to develop important classical mathematical themes. The emphasis throughout is on fundamental principles and concepts, not on achieving technical mastery of state-of-the-art models.

Mathematical Modeling in Economics, Ecology and the Environment

Mathematical Modeling in Economics, Ecology and the Environment
Author: N.V. Hritonenko
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2013-04-17
Genre: Mathematics
ISBN: 1441997334

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The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems
Author: Fred S. Roberts
Publisher: Prentice Hall
Total Pages: 584
Release: 1976
Genre: Mathematics
ISBN:

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Mathematical models; Graphs; Applications of graphs; Weighted digraphs and pulse processes; Markov chains; n-Person games; Group decisionmaking; Measurement and utility; Index.

Applied Mathematics for Environmental Problems

Applied Mathematics for Environmental Problems
Author: María Isabel Asensio
Publisher: Springer Nature
Total Pages: 84
Release: 2021-02-23
Genre: Mathematics
ISBN: 3030617955

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This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain. The first paper addresses a simplified physical wildfire spread model, based on partial differential equations solved with finite element methods and integrated into a GIS to provide a useful and efficient tool. The second paper focuses on one of the causes of the unpredictable behavior of wildfire, fire-spotting, through a statistical approach. The third paper addresses low -level wind shear which represents one of the most relevant hazards during aircraft takeoff and landing. It presents an experimental wind shear alert system that is based on predicting wind velocities obtained from the Harmonie-Arome model. The last paper addresses the environmental impact of oil reservoirs. It presents high-order hybridizable discontinuous Galerkin formulation combined with high-order diagonally implicit Runge-Kutta schemes to solve one-phase and two-phase flow problems through porous media. All the contributions collected in this volume are interesting examples of how mathematics and numerical modelling are effective tools in the field of environmental problems.

Introduction to Environmental Modeling

Introduction to Environmental Modeling
Author: William G. Gray
Publisher: Cambridge University Press
Total Pages: 449
Release: 2017
Genre: Science
ISBN: 1107571693

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This textbook presents the timeless basic physical and mathematical principles and philosophy of environmental modeling to students who need to be taught how to think in a different way than they would for more narrowly-defined engineering or physics problems. Examples come from a range of hydrologic, atmospheric, and geophysical problems.

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems
Author: Fred S. Roberts
Publisher: Prentice Hall
Total Pages: 584
Release: 1976
Genre: Mathematics
ISBN:

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Mathematical models; Graphs; Applications of graphs; Weighted digraphs and pulse processes; Markov chains; n-Person games; Group decisionmaking; Measurement and utility; Index.