Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …

The spectral view of variability is a compelling and adaptable tool for understanding
variability of the climate. In Mitchell (1976) seminal paper, it was used to express, on one …

This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …

For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …

An abrupt climatic transition could be triggered by a single extreme event, and an α-stable
non-Gaussian Lévy noise is regarded as a type of noise to generate such extreme events. In …

We present Pasado, a technique for synthesizing precise static analyzers for Automatic
Differentiation. Our technique allows one to automatically construct a static analyzer …

A fundamental challenge in mathematical modelling is to find a model that embodies the
essential underlying physics of a system, while at the same time being simple enough to …

Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical
systems and chaos theory, important and exciting areas that have shaped many scientific …

The current climate change, unlike previous ones, is caused by human activity and is
characterized by an unprecedented rate of increase in the near-surface temperature and an …

Climate variability occurs on a multitude of temporal and spatial scales and the associated
phenomena are studied using observations and a hierarchy of climate models. The aim of …