A. Dijkstra's Books

This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.

This book presents stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability, for graduate students and researchers.

In this book, the methodology of dynamical systems theory is applied to investigate the physics of the global ocean circulation. Topics include the dynamics of the Gulf Stream in the Atlantic Ocean, the stability of the thermohaline circulation and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. On the other hand, the book also deals with the numerical methods for applying bifurcation analysis on large dimensional dynamical systems, with thousands or more degrees of freedom, which arise through discretization of ocean models. The novel approach in understanding the phenomena of climate variability is through a systematic analysis within a hierarchy of models using these techniques. In this way, a nice overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. The reader is expected to have a background in basic incompressible fluid dynamics and applied mathematics, although the level of the text is mixed and sometimes quite introductory. Each chapter is rather self-contained and many details of derivations are provided. The book is aimed at graduate students and researchers in meteorology, oceanography, and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.

Overview of applications of network theory to climate science, for researchers and students, and anyone interested in network science.

Evaluation and Optimization of Laboratory Methods and Analytical Procedures

A guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.

Book's by A. Dijkstra

Dynamical Oceanography

Dynamical Oceanography

Nonlinear Climate Dynamics

Nonlinear Climate Dynamics

Nonlinear Physical Oceanography

Nonlinear Physical Oceanography

Networks in Climate

Networks in Climate

Evaluation and Optimization of Laboratory Methods and Analytical Procedures

Evaluation and Optimization of Laboratory Methods and Analytical Procedures

Bifurcation Analysis of Fluid Flows

Bifurcation Analysis of Fluid Flows

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