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  1. 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...

  2. 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...

  3. 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.

  4. Low-Order 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.

  5. 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 Phytoplankton-Nutrient Modeling at the 2011 MBI Workshop on Ocean Ecologies and their Physical Habitats in a Changing Climate, and the follow-on lectures on Phytoplankton growth in oligotrophic oceans: Linear...

  6. 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...