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  1. 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.

  2. Chaotic Dynamical Systems: the Bernoulli Shift

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This is the first part of a series of lectures on chaotic dynamics, and focuses on the Bernoulli shift. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a second year...

  3. Chaotic Dynamical Systems: the Horseshoe Map

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This is the second part of a series of lectures on chaotic dynamics, and focuses on the Horseshoe Map. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a second year graduate...

  4. 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...

  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...

  7. Deriving the SWM Lecture 1: Conservation of Potential Vorticity

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This lecture develops the conservation equation for potential vorticity in the shallow water model.

  8. Deriving the SWM Lecture 2: Stream Functions for Velocity Fields

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This lecture develops the formulation of the stream function for the velocity field of the shallow water equation.  his is the second in a series of short lectures on deriving the shallow water model, given by Chris Jones in 2013. 

  9. Deriving the SWM Lecture 3: Barotropic Vorticity Equations

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This lecture develops the barotropic vorticity equations for the shallow water model.  This is background lecture 2.1C in the Mathematics of Climate Modelling course.

  10. Geometric Dynamical Systems: Manifolds and Stability Part I

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This is the first part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a...

  11. Geometric Dynamical Systems: Manifolds and Stability Part II

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This is the second part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1B for the Mathematics of Climate Modelling course.

  12. Geometric Dynamical Systems: Manifolds and Stability Part III

    04 May 2016 | Presentations | Contributor(s): Laura Slivinski

    This is the final part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1C for the Mathematics of Climate Modelling course.

  13. ICMS Tipping Points: Fundamentals and Applications

    13 Jun 2015 | Workshops

    Objectives: This workshop (September, 2013) brings together mathematicians and statisticians, whose research expertise is relevant to investigating threshold behaviour in complex environmental systems, with the climate scientists and ecologists who exploit mathematical modelling in their research...

  14. Introduction to the Mathematics of Climate

    07 May 2015 | Series | Contributor(s): Laura Slivinski

    This course will investigate the following questions from a mathematical perspective. What determines the Earth's surface temperature? Why does the carbon dioxide in the atmosphere affect the climate? How do changes in the Earth's orbital parameters change the climate? Why has the Earth...

  15. Introduction to the Mathematics of Climate

    07 May 2015 | Series | Contributor(s): Colin James Grudzien

    This course will investigate the following questions from a mathematical perspective. What determines the Earth's surface temperature? Why does the carbon dioxide in the atmosphere affect the climate? How do changes in the Earth's orbital parameters change the climate? Why has the Earth...

  16. Introduction to the Mathematics of Climate at UMN - Lecture 1

    07 May 2015 | Presentations | Contributor(s): Colin James Grudzien

    This is lecture 1 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.       

  17. Introduction to the Mathematics of Climate at UMN - Lecture 10

    12 May 2015 | Presentations | Contributor(s): Colin James Grudzien

    This is lecture 10 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  18. Introduction to the Mathematics of Climate at UMN - Lecture 11

    12 May 2015 | Presentations | Contributor(s): Colin James Grudzien

    This is lecture 11 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.      

  19. Introduction to the Mathematics of Climate at UMN - Lecture 12

    12 May 2015 | Presentations | Contributor(s): Laura Slivinski

    This is lecture 12 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

  20. Introduction to the Mathematics of Climate at UMN - Lecture 12

    12 May 2015 | Presentations | Contributor(s): Colin James Grudzien

    This is lecture 12 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.