Computational Methods for the Atmosphere and the Oceans

"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

• Part 1. Modeling1.) Finite-Volume Methods in Meteorology2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic SimulationsPart 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 modelsPart 3. Turbulence7.) Large-eddy simulations for geophysical fluid dynamics8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactionsPart 4. Data Assimilation9.) Data Assimilation for Geophysical Fluids10.) Continuum and Discrete Covariance Propagation for Advective DynamicsPart 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 Dynamics