**Variational Modelling: Energies, gradient flows, and large deviations**

by Mark A. Peletier

**Publisher**: arXiv 2014**Number of pages**: 64

**Description**:

The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.

Download or read it online for free here:

**Download link**

(700KB, PDF)

## Similar books

**Valuations and Hyperbolicity in Dynamics**

by

**Thomas Ward**-

**University of East Anglia**

These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.

(

**4644**views)

**The Hopf Bifurcation and Its Applications**

by

**J. E. Marsden, M. McCracken**-

**Springer**

The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.

(

**8695**views)

**Dynamical Systems and Chaos**

by

**Evans M. Harrell II**

Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.

(

**10094**views)

**Data Assimilation: A Mathematical Introduction**

by

**K.J.H. Law, A.M. Stuart, K.C. Zygalakis**-

**arXiv.org**

This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.

(

**959**views)