Adjoint Equations and Perturbation Algorithms in Nonlinear Problems - Softcover

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

 
9780367448585: Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
Softcover
ISBN 10: 0367448580 ISBN 13: 9780367448585
Publisher: CRC Press, 2020

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.

    • "synopsis" may belong to another edition of this title.

    About the Author

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

    From the Back Cover

    The material in this book is illustrated both with simple examples and with more complex results of numerical experiments. So, the authors of the monograph try to attract the attention of a more or less wide circle of researchers to new approaches which can result in some impulse to the creation of new technologies of planning the experiments, and the investigation of complex systems while solving applied problems.

    "About this title" may belong to another edition of this title.

    Publisher
    CRC Press
    Publication date
    2020
    Language
    English
    ISBN 10 
    0367448580
    ISBN 13 
    9780367448585
    Binding
    Paperback
    Edition number
    1
    Number of pages
    288

    Other Popular Editions of the Same Title

    9780849328718: Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

    Featured Edition

    ISBN 10:  0849328713 ISBN 13:  9780849328718
    Publisher: CRC Press, 1996
    Hardcover