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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems by Guri I. Marchuk
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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems by Guri I. Marchuk

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9780367448585
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Description

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.


    • Book Information
    ISBN 9780367448585
    Author Guri I. Marchuk
    Format Paperback
    Page Count 288
    Imprint CRC Press
    Publisher Taylor & Francis Ltd
    Weight(grams) 530g

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