
A Survey of Grid Control and Optimization
07 May 2015  Presentations
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.

Biology, Chemistry, and Physics of Biofilms: Survey of basics
04 May 2015  Educational Materials
Bibliography by Isaac Klapper to accompany tutorial lecture on Modeling of Microbial Biofilms and Mats at the 2011 MBI Workshop on Ocean Ecologies and their Physical Habitats in a Changing Climate

Complex Energy Systems
07 May 2015  Presentations
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...

Complex Phytoplankton Dynamics: The Mathematical Perspective
04 May 2015  Educational Materials  Contributor(s): Arjen Doelman, Antonios Zagaris
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...

Complex Phytoplankton Dynamics: The Mathematical Perspective
04 May 2015  Educational Materials
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
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...

Deriving the SWM Lecture 1: Conservation of Potential Vorticity
04 May 2016  Presentations
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  Presentations
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  Presentations
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.

Global Warming Could Be Nonlinear
23 Nov 2015  Presentations
It is widely acknowledged that many components of the Earth's climate system exhibit nonlinear behavior when forced, with examples ranging from ice sheets to ocean circulations to savanna. These changes, as profound as they are, are not expected to greatly impact global climate, as...

Introduction to the Mathematics of Climate
07 May 2015  Series  Contributor(s): Arjen Doelman, Antonios Zagaris
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...

Introduction to the Mathematics of Climate
07 May 2015  Series
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...

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...

Introduction to the Mathematics of Climate
07 May 2015  Series
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...

Introduction to the Mathematics of Climate at UMN  Lecture 1
07 May 2015  Presentations  Contributor(s): Arjen Doelman, Antonios Zagaris
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.

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.

Introduction to the Mathematics of Climate at UMN  Lecture 10
12 May 2015  Presentations  Contributor(s): Arjen Doelman, Antonios Zagaris
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.

Introduction to the Mathematics of Climate at UMN  Lecture 10
12 May 2015  Presentations
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.

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.

Introduction to the Mathematics of Climate at UMN  Lecture 11
12 May 2015  Presentations  Contributor(s): Arjen Doelman, Antonios Zagaris
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.