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Adjoint Equations and Analysis of Complex Systems : Mathematics and Its Applications - Guri I. Marchuk

Adjoint Equations and Analysis of Complex Systems

Mathematics and Its Applications

Hardcover Published: 31st January 1995
ISBN: 9780792330134
Number Of Pages: 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.

Author's Preface to the English Edition
Introductionp. 1
Adjoint Equations and Perturbation Theoryp. 7
Main and Adjoint Equations. Perturbation Theoryp. 9
Simple Main and Adjoint Equations of Mathematical Physicsp. 95
Nonlinear Equationsp. 123
Inverse Problems and Adjoint Equationsp. 164
Problems of Environment and Optimization Methods on the Basis of Adjoint Equationsp. 207
Analysis of Mathematical Models in Environmental Problemsp. 212
Adjoint Equations, Optimizationp. 269
Adjoint Equations and Models of General Circulation of Atmosphere and Oceanp. 326
Adjoint Equations in Data Processing Problemsp. 389
Appendix I: Splitting Methods in the Solution of Global Problemsp. 422
Appendix II: Difference Analogue of Non-Stationary Heat Diffusion Equation in Atmosphere and Oceanp. 441
Bibliographyp. 448
Indexp. 464
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792330134
ISBN-10: 0792330137
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 468
Published: 31st January 1995
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.69
Weight (kg): 0.85

Earn 474 Qantas Points
on this Book