Computational Methods for the Atmosphere and the Oceans: Special Volume (Volume 14) (Handbook of Numerical Analysis (Volume 14))

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. • 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 Cover Page ......Page 1 Title Page ......Page 2 Copyright Page ......Page 4 General Preface......Page 5 Contents of the Handbook......Page 7 Foreword......Page 13 Acknowledgment......Page 15 Finite-Volume Methods in Meteorology......Page 16 Computational Kernel Algorithms for Fine-Scale, Multiprocess, Longtime Oceanic Simulations......Page 134 Bifurcation Analysis of Ocean, Atmosphere, and Climate Models......Page 197 Time-Periodic Flows in Geophysical and Classical Fluid Dynamics......Page 240 Momentum Maps for Lattice EPDiff......Page 256 Numerical Generation of Stochastic Differential Equations in Climate Models......Page 288 Large-eddy Simulations for Geophysical Fluid Dynamics......Page 316 Two Examples from Geophysical and Astrophysical Turbulence on Modeling Disparate Scale Interactions......Page 346 Data Assimilation for Geophysical Fluids......Page 389 Energetic Consistency and Coupling of the Mean and Covariance Dynamics......Page 446 Boundary Value Problems for the Inviscid Primitive Equations in Limited Domains......Page 482 Some Mathematical Problems in Geophysical Fluid Dynamics......Page 577 Index......Page 751 Colour Plates ......Page 762 Mathematical Finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. This book addresses the three aspects in the field: mathematical models, computational methods, and applications.