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Modeling and Simulation in Science, Engineering and Technology

Mathematics of Climate Modeling

Authors: Dymnikov, Valentin P., Filatov, Aleksander N.

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  • ISBN 978-1-4612-4148-5
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About this book

The present monograph is dedicated to a new branch of the theory of climate, which is titled by the authors, "Mathematical Theory of Climate. " The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa­ tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda­ tions of Wayne Yuhasz (we are truly grateful to him for this advice), we named the English edition of the book "Mathematics of Climate Modelling. " This title appears to be more appropriate, since the con­ structive results of the theory are at present preliminary and have not been fully tested with experiments in climate modelling. This branch of science is yet developing and its practical results will be obtained only in the near future. Nevertheless, we want to keep the terminology which we have used in the introduction to the Russian edition of the book, since the authors hope that this term will be accepted by the scientific community for identification of a given branch of climate theory. On preparing the English edition, new ideas were established con­ necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourage­ ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Dynamical Systems. Attractors, Invariant Measures

    Pages 1-76

    Dymnikov, Valentin P. (et al.)

  • Non-autonomous Dissipative Systems, Their Attractors and Averaging

    Pages 77-108

    Dymnikov, Valentin P. (et al.)

  • Analysis of Barotropic Model

    Pages 109-130

    Dymnikov, Valentin P. (et al.)

  • Discretization of Systems Possessing Attractors

    Pages 131-169

    Dymnikov, Valentin P. (et al.)

  • Numerical Study of Structure of Attractor Generated by Barotropic Equations on Sphere

    Pages 171-188

    Dymnikov, Valentin P. (et al.)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-4612-4148-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
Softcover $149.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of Climate Modeling
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4148-5
DOI
10.1007/978-1-4612-4148-5
Hardcover ISBN
978-0-8176-3915-0
Softcover ISBN
978-1-4612-8674-5
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XVI, 264
Topics

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