Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P.

ISBN 10: 0367448580 / ISBN 13: 9780367448585

Published by CRC Press, 2020

About this Item

pp. 288.

Seller Inventory # 385822442

Bibliographic Details

• Title: Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
• Publisher: CRC Press
• Publication Date: 2020
• Language: English
• ISBN 10: 0367448580
• ISBN 13: 9780367448585
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

About the Author

Marchuk, Guri I. | Agoshkov, Valeri I. | Shutyaev, Victor P.