Call number:
13/M 99.0115
;
PIK N453-00-0549
;
AWI S1-98-0188
Description / Table of Contents:
The movement of oceanic water has important consequences for a variety of applications, such as climate change, sealevel change, biological productivity, weather forecasting, and many others. This book addresses the problem of inferring the state of the ocean circulation, understanding it dynamically, and even forecasting it through a quantitative combination of theory and observation. It focuses on so-called inverse methods and related methods of statistical inference. Both time-independent and time-dependent problems are considered, including Gauss-Markov estimation, sequential estimators, and adjoint / Pontryagin principle methods. This book is intended for use as a graduate-level text for students of oceanography and other related fields. It will also be of interest to working physical ocanographers.
Type of Medium:
Monograph available for loan
Pages:
xiv, 442 S.
,
graph. Darst., Kt.
Edition:
1. publ.
ISBN:
0521480906
Classification:
Oceanology
Language:
English
Note:
Contents:
Preface. -
Notation. -
1 Introduction. -
1.1 Background. -
1.2 What is an inverse problem?. -
1.3 What's here. -
2 Physics of the ocean circulation. -
2.1 Basic physical elements. -
2.2 Observations. -
2.3 The classical problem. -
2.4 Hidaka's problem and the algebraic formulation. -
2.5 The absolute velocity problem in retrospect. -
3 Basic machinery. -
3.1 Matrix and vector algebra. -
3.2 Simple statistics; regression. -
3.3 Least squares. -
3.4 The singular vector expansion. -
3.5 Using a steady model-combined least squares and adjoints. -
3.6 Gauss-Markov estimation, mapmaking, and more simultaneous equations. -
3.7 Improving solutions recursively. -
3.8 Estimation from linear constraints - a summary. -
4 The steady ocean circulation inverse problem. -
4.1 Choosing a model. -
4.2 The initial reference level. -
4.3 Simple examples. -
4.4 Property fluxes. -
4.5 Application to real data sets. -
4.6 Climatologies and box models. -
4.7 The β-spiral and variant methods. -
5 Additional useful methods. -
5.1 Inequality constraints; nonnegative least squares. -
5.2 Linear programming and eclectic models. -
5.3 Quantifying water mass; empirical orthogonal functions. -
5.4 Kriging and other variants of Gauss-Markov estimation. -
5.5 Nonlinear problems. -
6 The time-dependent inverse problem. -
6.1 Some basic ideas and notation. -
6.2 Estimation. -
6.3 Control problems: Pontryagin principle and adjoint methods. -
6.4 Duality and simplification: steady-state filter and adjoint. -
6.5 Controllability and observability. -
6.6 Nonlinear models. -
6.7 Assimilation. -
6.8 Other minimization methods and the search for practicality. -
6.9 Forward models. -
6.10 A last word. -
References. -
Author Index. -
Subject Index.
Location:
Reading room
Location:
Reading room
Location:
Reading room
Branch Library:
GFZ Library
Branch Library:
PIK Library
Branch Library:
AWI Library
Permalink
