Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Adjoint Equations and Perturbation Algorithms in Nonlinear Problems by Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev, CRC Press
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Author: Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev ISBN: 9781351468794
Publisher: CRC Press Publication: April 24, 2018
Imprint: CRC Press Language: English
Author: Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev
ISBN: 9781351468794
Publisher: CRC Press
Publication: April 24, 2018
Imprint: CRC Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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