Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
Author :
Publisher : CRC Press
Total Pages : 288
Release :
ISBN-10 : 9781351468800
ISBN-13 : 1351468804
Rating : 4/5 (804 Downloads)

Book Synopsis Adjoint Equations and Perturbation Algorithms in Nonlinear Problems by : Guri I. Marchuk

Download or read book Adjoint Equations and Perturbation Algorithms in Nonlinear Problems written by Guri I. Marchuk and published by CRC Press. This book was released on 2018-04-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.


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