Mathematics and Its Applications

Adjoint Equations and Analysis of Complex Systems

Authors: Marchuk, Guri I.

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About this book

New statements of problems arose recently demanding thorough ana­ lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ­ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac­ tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.

Table of contents (9 chapters)

  • Introduction

    Marchuk, Guri I.

    Pages 1-5

  • Main and Adjoint Equations. Perturbation Theory

    Marchuk, Guri I.

    Pages 9-94

  • Simple Main and Adjoint Equations of Mathematical Physics

    Marchuk, Guri I.

    Pages 95-122

  • Nonlinear Equations

    Marchuk, Guri I.

    Pages 123-162

  • Inverse Problems and Adjoint Equations

    Marchuk, Guri I.

    Pages 163-205

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-017-0621-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-7923-3013-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-90-481-4444-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Adjoint Equations and Analysis of Complex Systems
Authors
Series Title
Mathematics and Its Applications
Series Volume
295
Copyright
1995
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-0621-6
DOI
10.1007/978-94-017-0621-6
Hardcover ISBN
978-0-7923-3013-4
Softcover ISBN
978-90-481-4444-0
Edition Number
1
Number of Pages
X, 468
Additional Information
Originally published in Russian
Topics