Adjoint Equations And Analysis Of Complex Systems

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Adjoint Equations And Analysis Of Complex Systems

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Author : Guri I. Marchuk
language : en
Publisher:
Release Date : 2014-03-14

Adjoint Equations And Analysis Of Complex Systems written by Guri I. Marchuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with categories.

Adjoint Equations And Analysis Of Complex Systems

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Author : Guri I. Marchuk
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-01-31

Adjoint Equations And Analysis Of Complex Systems written by Guri I. Marchuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-31 with Computers categories.

New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.

Modelling Of Pollutants In Complex Environmental Systems

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Author : Grady Hanrahan
language : en
Publisher: ILM Publications
Release Date : 2009

Modelling Of Pollutants In Complex Environmental Systems written by Grady Hanrahan and has been published by ILM Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Nature categories.

This title showcases modern environmental modelling methods, the basic theory behind them and their incorporation into complex environmental investigations.

Computational Science Iccs 2003 Part 4

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Author : Peter Sloot
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-05-22

Computational Science Iccs 2003 Part 4 written by Peter Sloot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-22 with Computers categories.

The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.

Mathematical Methods For The Assessment And Control Of Industrial Emissions

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Author : Yuri N. Skiba
language : en
Publisher: Springer Nature
Release Date : 2024-09-16

Mathematical Methods For The Assessment And Control Of Industrial Emissions written by Yuri N. Skiba and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-16 with Technology & Engineering categories.

This book delves onto modern mathematical methods aimed at mitigating environmental pollution risks caused by industrial activities. Showing the alarming global issue of industrial pollution, the text explores the complexities of emission control strategies and dispersion models. Through a systematic approach, readers will gain insights into the utilization of mathematical models to assess pollutant dispersion, regulate emissions, and pinpoint sources of excessive pollution. With a focus on averting health risks and ensuring compliance with sanitary standards, the book elucidates the application of control strategies to manage pollutant concentrations effectively. From differential equations to optimization theory, the narrative navigates through interdisciplinary concepts, offering a wealth of knowledge for researchers, professionals, and students alike. Chapters brim with illustrative examples, shedding light on air and marine pollution control, while emphasizing the versatility of the discussed strategies. Whether tackling two-dimensional or three-dimensional dispersion models, the book equips readers with essential tools to confront the pressing challenges of industrial pollution in both developed and developing regions.

Free Surface Flow

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Author : Nikolaos D. Katopodes
language : en
Publisher: Butterworth-Heinemann
Release Date : 2018-08-30

Free Surface Flow written by Nikolaos D. Katopodes and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Technology & Engineering categories.

Free-Surface Flow: Shallow-Water Dynamics presents a novel approach to this phenomenon. It bridges the gap between traditional books on open-channel flow and analytical fluid mechanics. Shallow-water theory is established by formal integration of the Navier-Stokes equations, and boundary resistance is developed by a rigorous construction of turbulent flow models for channel flow. In addition, the book presents a comprehensive description of shallow-water waves by mathematical analysis. These methods form the foundation for understanding flood routing, sudden water releases, dam and levee break, sluice gate dynamics and wave-current interaction. - Bridges the gap between traditional books on open-channel flow and wave mechanics - Presents a comprehensive description of shallow-water waves by characteristic and bicharacteristic analysis - Presents techniques for wave control and active flood mitigation

Mathematical Models Of Life Support Systems Volume I

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Author : Valeri I. Agoshko
language : en
Publisher: EOLSS Publications
Release Date : 2009-10-10

Mathematical Models Of Life Support Systems Volume I written by Valeri I. Agoshko and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-10 with categories.

Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Mathematical Modelling Of Immune Response In Infectious Diseases

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Author : Guri I. Marchuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Mathematical Modelling Of Immune Response In Infectious Diseases written by Guri I. Marchuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions. The results presented in this monograph are based on the construc tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.

Multigrid Methods For Finite Elements

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Author : V.V. Shaidurov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Multigrid Methods For Finite Elements written by V.V. Shaidurov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.

Regularization Of Ill Posed Problems By Iteration Methods

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Author : S.F. Gilyazov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Regularization Of Ill Posed Problems By Iteration Methods written by S.F. Gilyazov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.