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.
By:
Guri I. Marchuk, Valeri I. Agoshkov, Victor P. Shutyaev Imprint: CRC Press Country of Publication: United Kingdom Dimensions:
Height: 234mm,
Width: 156mm,
Weight: 453g ISBN:9780367448585 ISBN 10: 0367448580 Pages: 288 Publication Date:30 June 2020 Audience:
College/higher education
,
Primary
Format:Paperback Publisher's Status: Active
Marchuk, Guri I. | Agoshkov, Valeri I. | Shutyaev, Victor P.