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 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.Additional ISBNs0367448580, 0849328713, 1351468804, 1315136708, 9780367448585, 9780849328718, 9781351468800, 9781315136707Adjoint Equations and Perturbation Algorithms in Nonlinear Problems 1st Edition is written by Guri I. Marchuk; Valeri I. Agoshkov; Victor P. Shutyaev and published by CRC Press. ISBNs for Adjoint Equations and Perturbation Algorithms in Nonlinear Problems are 9781351468794, 1351468790 and the print ISBNs are 9780849328718, 0849328713. Additional ISBNs include 0367448580, 0849328713, 1351468804, 1315136708, 9780367448585, 9780849328718, 9781351468800, 9781315136707.