
A nonsmooth example: An approximation to the Jormungand climate model
30 Nov 2015  Contributor(s):: Jim Walsh

A Survey of Grid Control and Optimization
07 May 2015   Contributor(s):: Colin James Grudzien
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.

Chaotic Dynamical Systems: the Bernoulli Shift
04 May 2016   Contributor(s):: Christopher KRT Jones
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...

Chaotic Dynamical Systems: the Horseshoe Map
04 May 2016   Contributor(s):: Christopher KRT Jones
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...

Complex Energy Systems
07 May 2015   Contributor(s):: Michael Chertkov
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...

Deriving the SWM Lecture 1: Conservation of Potential Vorticity
04 May 2016   Contributor(s):: Christopher KRT Jones
This lecture develops the conservation equation for potential vorticity in the shallow water model.

Deriving the SWM Lecture 2: Stream Functions for Velocity Fields
04 May 2016   Contributor(s):: Christopher KRT Jones
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.

Deriving the SWM Lecture 3: Barotropic Vorticity Equations
04 May 2016   Contributor(s):: Christopher KRT Jones
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.

Geometric Dynamical Systems: Manifolds and Stability Part I
04 May 2016   Contributor(s):: Christopher KRT Jones
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...

Geometric Dynamical Systems: Manifolds and Stability Part II
04 May 2016   Contributor(s):: Christopher KRT Jones
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.

Geometric Dynamical Systems: Manifolds and Stability Part III
04 May 2016   Contributor(s):: Christopher KRT Jones
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.

Introduction to the Mathematics of Climate at UMN  Lecture 12
12 May 2015   Contributor(s):: Richard McGehee
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.

Introduction to the Mathematics of Climate at UMN  Lecture 13
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 13 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.

Introduction to the Mathematics of Climate at UMN  Lecture 14
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 14 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.

Introduction to the Mathematics of Climate at UMN  Lecture 15
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 15 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.

Introduction to the Mathematics of Climate at UMN  Lecture 16
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 16 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.

Introduction to the Mathematics of Climate at UMN  Lecture 17
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 17 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.

Introduction to the Mathematics of Climate at UMN  Lecture 18
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 18 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.

Introduction to the Mathematics of Climate at UMN  Lecture 19
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 19 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.

Introduction to the Mathematics of Climate at UMN  Lecture 2
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 2 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.