
Synchronization in power grid networks
07 May 2015  Presentations  Contributor(s): Laura Slivinski
This survey discusses Master Stability Function (MSF) analysis for determining stability of synchronization of coupled oscillators on network. In addition, we briefly discuss the derivation of the Swing equation that determine the dynamics of a node in power grid network, and...

Complex Energy Systems
07 May 2015  Presentations  Contributor(s): Laura Slivinski
This is the opening guest lecture for the Electric Grid Focus Group. Dr. Michael Chertkov of Los Alamos National Lab describes the statistical and mathematical problems arising in complex energy systems, including the electric grid and gas networks. Systems with high penetration of...

A Survey of Grid Control and Optimization
07 May 2015  Presentations  Contributor(s): Laura Slivinski
This is an introductory survey of how control problems arise on different time scales in electric grid transmission problems. The set up and general form of such problems are considered, along with operational considerations.

LowOrder Climate Models
04 May 2015  Educational Materials  Contributor(s): Laura Slivinski
This is a list of 'simple' climate models by Daniel Koll. The papers are meant to be comprehensible & interesting to a general audience as well as relevant to climate researchers.

Complex Phytoplankton Dynamics: The Mathematical Perspective
04 May 2015  Educational Materials  Contributor(s): Laura Slivinski
Bibliography by Arjen Doelman and Antonios Zagaris to accompany tutorial lecture on PhytoplanktonNutrient Modeling at the 2011 MBI Workshop on Ocean Ecologies and their Physical Habitats in a Changing Climate, and the followon lectures on Phytoplankton growth in oligotrophic oceans: Linear...

Deriving the Shallow Water Model in Geophysical Fluid Dynamics
01 Jan 2013  Series  Contributor(s): Laura Slivinski
These collected lectures go over key concepts in the derivation shallow water model as a conceptual model for ocean dynamics. The attached PDF notes in the supporting documents expand on these lectures. This short lecture series was part of the MCRN Mathematics of Climate Modelling...