Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

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9780849328718: 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.
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    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.

    Language Notes:

    Text: English (translation)
    Original Language: Russian

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    G. I. Marchuk, Valeri I. Agoshkov, V.P. Shutyaev
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    Book Description Taylor Francis Inc, United States, 1996. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. 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. Bookseller Inventory # AAZ9780849328718

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    G. I. Marchuk, Valeri I. Agoshkov, V.P. Shutyaev
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    Book Description Taylor Francis Inc, United States, 1996. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. 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. Bookseller Inventory # AAZ9780849328718

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    Marchuk, Guri I., Agoshkov, Valeri I., Shutyaev, Victor P.
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    Book Description CRC Press, 1996. Book Condition: New. Presents the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This book discusses perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation. Num Pages: 288 pages, black & white illustrations. BIC Classification: PBKJ; PDE; TQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 588. . 1996. 1st Edition. Hardcover. . . . . . Bookseller Inventory # V9780849328718

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    Book Description Hardback. Book Condition: New. Not Signed; 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 w. book. Bookseller Inventory # ria9780849328718_rkm

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    Marchuk, Guri I., Agoshkov, Valeri I., Shutyaev, Victor P.
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    Book Description CRC Press. Book Condition: New. Presents the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This book discusses perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation. Num Pages: 288 pages, black & white illustrations. BIC Classification: PBKJ; PDE; TQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 588. . 1996. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780849328718

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    MARCHUK, GURI I.; AGOSHKOV, VALERI I.; SHUTYAEV, VICTOR P.
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