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Computational Methods for the Atmosphere and the Oceans

Special Volume

  • 1st Edition, Volume 14 - November 28, 2008
  • Latest edition
  • Editors: Philippe G. Ciarlet, Roger Temam, Joe Tribbia
  • Language: English

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the… Read more

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Description

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered.

Key features

  • Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics
  • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences
  • Contributions uniquely address central problems and provide a survey of the frontier of research

Readership

This compilation is ideal for graduate students and researchers alike: Physical Sciences and Engineering, Numerical Methods in Engineering, Numerical Analysis, Applied Mathematics.

Table of contents

Part 1. Modeling

1.) Finite-Volume Methods in Meteorology

2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic Simulations

Part 2. Nonlinear Methods

3.) Bifurcation analysis of ocean, atmosphere and climate models

4.) Time-Periodic Flows in Geophysical and Classical Fluid Dynamics

5.) Discrete momentum maps for lattice EPDiff

6.) Numerical generation of stochastic differential equations in climate models

Part 3. Turbulence

7.) Large-eddy simulations for geophysical fluid dynamics

8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactions

Part 4. Data Assimilation

9.) Data Assimilation for Geophysical Fluids

10.) Continuum and Discrete Covariance Propagation for Advective Dynamics

Part 5. Analysis

11.) The 3D Primitive Equations in the absence of viscosity: Boundary Conditions and well-posedness in the linearized case

12.) Some Mathematical Problems in Geophysical Fluid Dynamics

Review quotes

"Since the IXth volume in the series ‘Handbook of Numerical Analysis’, volumes are devoted to a single specific application and are for this reason called ‘Special Volumes’. This XIVth volume focuses on Computational Methods of the Atmosphere and the Ocean and serves to bring useful and important geophysical problems to the attention of mathematicians as well as to present useful tools developed by mathematicians. As such, it addresses a wide audience of researchers and is most useful to those which have some previous knowledge of the subject… All chapters of the book are self-contained, include references and, if applicable, mostly gray-scale plots. 31 color-plates are collected at the end of the book."—Zentralblatt MATH 1226-1

Product details

  • Edition: 1
  • Latest edition
  • Volume: 14
  • Published: November 28, 2008
  • Language: English

About the editors

PC

Philippe G. Ciarlet

Affiliations and expertise
City University of Hong Kong, Kowloon

RT

Roger Temam

Affiliations and expertise
Indiana University, Bloomington, USA 1

JT

Joe Tribbia

Affiliations and expertise
University Corporation for Atmospheric Research, Boulder, CO, USA

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