Adjoint Equations and Analysis of Complex Systems

Adjoint Equations and Analysis of Complex Systems

Author: Guri I. Marchuk

Publisher: Springer Science & Business Media

ISBN: 9789401706216

Category: Computers

Page: 468

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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.
Adjoint Equations and Analysis of Complex Systems
Language: en
Pages: 468
Authors: Guri I. Marchuk
Categories: Computers
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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
Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
Language: en
Pages: 114
Authors: Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev
Categories: Mathematics
Type: BOOK - Published: 2018-04-24 - Publisher: CRC Press

Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This
Selected Questions of Mathematical Physics and Analysis
Language: en
Pages: 402
Authors: I. V. Volovich, I︠U︡riĭ Nikolaevich Drozhzhinov, Alekseĭ Georgievich Sergeev
Categories: Mathematical analysis
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:-the theory of generalized functions-complex and $p$-adic analysis-mathematical questions of quantum field theory and statistical mechanics-computational mathematics and
Modelling of Pollutants in Complex Environmental Systems
Language: en
Pages: 336
Authors: Grady Hanrahan
Categories: Science
Type: BOOK - Published: 2009 - Publisher: ILM Publications

Environmental modelling has enjoyed a long tradition, but there is a defined need to continually address both the power and the limitations of such models, as well as their quantitative assessment. This book showcases modern environmental modelling methods, the basic theory behind them and their incorporation into complex environmental investigations.
Delay Differential Equations and Applications to Biology
Language: en
Pages: 286
Authors: Fathalla A. Rihan
Categories: Mathematics
Type: BOOK - Published: 2021-08-19 - Publisher: Springer Nature

This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also