
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...

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 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.

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...

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

Where's the Math in Climate Science?
09 Nov 2015   Contributor(s):: Christopher KRT Jones
Abstract: Climate science is dominated by the use of largescale models, of which there are only 30 or so around the world. It might then seem that the need for mathematics is limited to areas that directly support the operation of such models. I will explain, by digging into the way the models...

Midwest Mathematics and Climate Conference  Day 2 Afternoon Session
12 May 2015   Contributor(s):: Colin James Grudzien
Charles Jackson, University of Texas, AustinDualstate Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) globalscale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...

Midwest Mathematics and Climate Conference  Day 3 Afternoon Session
12 May 2015 
Mary Silber, Northwestern UniversityPattern Formation in the Drylands: Self Organization in SemiArid EcosystemsMuch of our understanding of spontaneous pattern formation in spatially extended systems was developed in the “wetlands" of fluid mechanics. That setting allowed...

Introduction to the Mathematics of Climate at UMN  Lecture 23
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 23 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 22
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 22 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 21
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 21 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 20
12 May 2015   Contributor(s):: Richard McGehee
This is lecture 20 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 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 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 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.