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portada Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
Type
Physical Book
Publisher
Author
Language
English
Pages
288
Format
Paperback
ISBN13
9780367448585
Edition No.
1

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Guri I. Marchuk (Author) · Crc Press · Paperback

Adjoint Equations and Perturbation Algorithms in Nonlinear Problems - Guri I. Marchuk

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Synopsis "Adjoint Equations and Perturbation Algorithms in Nonlinear Problems "

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 problemsProperties of adjoint operators and solvability conditions for adjoint equationsPerturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilationKnown 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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