
Hybrid EnKF and Particle Filter: Langrangian DA and Parameter Estimation
02 Jun 2016
This is a talk delivered at the Imperial College meeting on Stochastic Modeling in GFD, Data Assimilation and Nonequilibrium Phenomena on 1142015. This talk presents joint research by Chris Jones at UNCCH and Naratip Santitissandeekorn on hybrid data assimilation methods.

A Tutorial on Kalman Filters
01 Jun 2016
This is an introduction to the Kalman filter, explaining some underlying assumptions, use and extensions of the method.This talk was given on 1072015.

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...

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...

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...

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.

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.

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.

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.

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.

Vegetation patterns in mathematical models, and vegetation patterns in Horn of Africa
21 Apr 2016  Presentations
Visually striking largescale spatial patterns of vegetation have been observed in semiarid regions in the Americas, Africa and Australia. These have led to suggestions by theoretical ecologists that certain characteristics of the patterns may serve as earlywarning signs of desertification....

Data assimilation for extreme ionospheric events: observing system experiments of the September 26, 2011 geomagnetic storm
14 Apr 2016  Presentations
As increasingly sophisticated ground and spacebased technological systems that depend on the nearEarth space environment are being built, vulnerabilities to variations in the ionosphere are also increasing. These vulnerabilities are especially prominent during extreme spaceweather events,...

Local and nonlocal mechanisms of Arctic warming
25 Feb 2016  Presentations
Polar amplification (PA) is a prominent feature of currently observed and predicted future climate change suggested by both observations and models. We will discuss several PA mechanisms and feedbacks in the ocean and the atmosphere suggested by different researchers and connect it to the real...

New averaging results motivated by climate models: fat tails, oscillations, and tipping
10 Dec 2015  Presentations
We review recent results where new averaging approaches are developed and applied in the context of systems with multiple time scales and fat tails and in nonautonomous multiple scale systems with oscillatory forcing. These types of systems appear in a variety of higher dimensional...

Jafarov Seminar
30 Nov 2015  Presentations
Dr. Elchin Jafarov is a research associate at the National Snow and Ice Data Center, at the Cooperative Institute for Research in Environmental Sciences, University of Colorado Boulder. He has a PhD in Geophysics and a masters degree in Mathematics both from the University of Alaska Fairbanks....

Where's the Math in Climate Science?
09 Nov 2015  Presentations  Contributor(s): Laura Slivinski
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...

Hybrid EnKF and Particle Filter: Lagrangian DA and Parameter Estimation
06 Nov 2015  Presentations
Dealing with high dimensional systems is one of the central problems of data assimilation. A strategy is proposed here for systems that enjoys a skewproduct structure. Christopher Jones, University of North Carolina at Chapel Hill, presents joint work with Naratip...

OptIC project: An intercomparison of optimization techniques for parameter estimation in terrestrial biogeochemical models
20 Sep 2015  Educational Materials
A comparison of different optimization techniques for parameter estimation for a very simple ecosystem model (2 ODEs).

The REFLEX project: Comparing different algorithms and implementations for the inversion of a terrestrial ecosystem model against eddy covariance data
20 Sep 2015  Educational Materials
A comparison of parameter estimation techniques for a simplified ecosystem model. A followon to the OpTIC study with a more complex model (DALEC).

Tipping points and power cuts
18 Jun 2015  Presentations