The analysis of univariate or multivariate time series provides crucial information to describe,
understand, and predict climatic variability. The discovery and implementation of a number …

Cheetahs and beetles run, dolphins and salmon swim, and bees and birds fly with grace
and economy surpassing our technology. Evolution has shaped the breathtaking abilities of …

The numerical solution of partial differential equations (PDEs) is challenging because of the
need to resolve spatiotemporal features over wide length-and timescales. Often, it is …

Numerical approximation methods for the Koopman operator have advanced considerably
in the last few years. In particular, data-driven approaches such as dynamic mode …

This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

Turbulence pervades our world, from weather patterns to the air entering our lungs. This
book describes methods that reveal its structures and dynamics. Building on the existence of …

This book develops the theory of global attractors for a class of parabolic PDEs that includes
reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated …

Since publication of the first edition of this book in 1983, a very active area in the theory of
Navier–Stokes equations has been the study of these equations as a dynamical system in …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …

We present and discuss a framework for computer-aided multiscale analysis, which enables
models at a fine (microscopic/stochastic) level of description to perform modeling tasks at a …