Overview

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: oPrinciples for constructing adjoint operators in nonlinear problemsoProperties of adjoint operators and solvability conditions for adjoint equationsoPerturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilationoKnown results on adjoint equations and perturbation algorithms in nonlinear problemsThis 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.

Full Product Details

Author:   Guri I. Marchuk ,  Valeri I. Agoshkov ,  Victor P. Shutyaev
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   0.594kg
ISBN:  

9780849328718

ISBN 10:   0849328713
Pages:   288
Publication Date:   07 May 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Principles of Construction of Adjoint Operators in Non-Linear Problems. Properties of Adjoint Operators Constructed on the Basis of Various Principles. Solvability of Main and Adjoint Equations in Non-Linear Problems. Transformation Groups, Conservation Laws and Construction of the Adjoint Operators in Non-Linear Problems. Perturbation Algorithms in Non-Linear Problems. Adjoint Equations and the N-th Order Perturbation Algorithms in Non-Linear Problems of Transport Theory. Adjoint Equations and Perturbation Algorithms for a Quasilinear Equation of Motion. Adjoint Equations and Perturbation Algorithms for a Non-Linear Mathematical Model of Mass Transfer in Soil. Applications of Adjoint Equations in Science and Technology. Backcover Copy

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

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