Philippe G Ciarlet

Computational Methods for the Atmosphere and the Oceans (Computational Methods for the Atmosphere and the Oceans Special Volume) - Handbook of Numerical Analysis Philippe G Ciarlet

Marc Notes: Includes bibliographical references and index. Table of Contents: Part 1. Modeling1.) Finite-Volume Methods in Meteorology2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic Simulations Part 2. Nonlinear Methods3.) Bifurcation analysis of ocean, atmosphere and climate models4.) Time-Periodic Flows in Geophysical and Classical Fluid Dynamics5.) Discrete momentum maps for lattice EPDiff6.) Numerical generation of stochastic differential equations in climate models Part 3. Turbulence7.) Large-eddy simulations for geophysical fluid dynamics8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactions Part 4. Data Assimilation9.) Data Assimilation for Geophysical Fluids10.) Continuum and Discrete Covariance Propagation for Advective Dynamics Part 5. Analysis11.) The 3D Primitive Equations in the absence of viscosity: Boundary Conditions and well-posedness in the linearized case12.) Some Mathematical Problems in Geophysical Fluid DynamicsReview 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"

Contributor Bio:  Ciarlet, Philippe G Philippe G. Ciarlet began his academic career at the Universite Pierre et Marie Curie, Paris, in 1974, and moved to the City University of Hong Kong in 2002. He is a member of eight academies, including the French Academy of Sciences and the Hong Kong Institution of Science, and is a Fellow of SIAM and the AMS. Ciarlet is the recipient of a Grand Prize from the French Academy of Sciences and a Humboldt Research Award, as well as many other awards. He is Doctor Honoris Causa, or Honorary Professor, at eight universities and the author of 190 research papers and fifteen books.