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Mathematics of Climate Modeling

  • Book
  • © 1997

Overview

Authors:
  1. Valentin P. Dymnikov

    1. Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia

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  2. Aleksander N. Filatov

    1. Hydrometeorological Center of Russia, Moscow, Russia

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Dynamical Systems. Attractors, Invariant Measures

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 1-76

  3. Non-autonomous Dissipative Systems, Their Attractors and Averaging

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 77-108

  4. Analysis of Barotropic Model

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 109-130

  5. Discretization of Systems Possessing Attractors

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 131-169

  6. Numerical Study of Structure of Attractor Generated by Barotropic Equations on Sphere

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 171-188

  7. Two-Layer Baroclinic Model

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 189-209

  8. Investigation of Structure of Climate Attractors by Observed Data Series

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 211-219

  9. Regimes of Atmosphere Circulation

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 221-233

  10. Solvability of Ocean and Atmosphere Models

    • Valentin P. Dymnikov, Aleksander N. Filatov
    Pages 235-246

  11. Back Matter

    Pages 247-264
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Keywords

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.

Authors and Affiliations

  • Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia

    Valentin P. Dymnikov

  • Hydrometeorological Center of Russia, Moscow, Russia

    Aleksander N. Filatov

Bibliographic Information

  • Book Title: Mathematics of Climate Modeling

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

  • Series Title: Modeling and Simulation in Science, Engineering and Technology

  • DOI: https://doi.org/10.1007/978-1-4612-4148-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1997

  • Hardcover ISBN: 978-0-8176-3915-0Published: 01 May 1997

  • Softcover ISBN: 978-1-4612-8674-5Published: 14 October 2011

  • eBook ISBN: 978-1-4612-4148-5Published: 06 December 2012

  • Series ISSN: 2164-3679

  • Series E-ISSN: 2164-3725

  • Edition Number: 1

  • Number of Pages: XVI, 264

  • Topics: Applications of Mathematics, Atmospheric Sciences

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