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 Non-equilibrium Phenomena on 11-4-2015.  This talk presents joint research by Chris Jones at UNC-CH 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 10-7-2015.

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

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 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

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 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

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

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.

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 space-based technological systems that depend on the near-Earth space environment are being built, vulnerabilities to variations in the ionosphere are also increasing. These vulnerabilities are especially prominent during extreme space-weather events,...

MAA-NCS Summer Seminar Conceptual Climate Models

22 Feb 2016 | Educational Materials

MAA North Central Section Summer Seminar Conceptual Climate Models, July 22-24, 2013, Augsburg College in Minneapolis, MNSeminar home page: http://homepages.gac.edu/~hvidsten/MAASeminar/index.html 

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...

Where's the Math in Climate Science?

09 Nov 2015 | Presentations

Abstract: Climate science is dominated by the use of large-scale 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...

Where's the Math in Climate Science?

09 Nov 2015 | Presentations | Contributor(s): Laura Slivinski

Abstract: Climate science is dominated by the use of large-scale 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 skew-product structure.   Christopher Jones, University of North Carolina at Chapel Hill, presents joint work with Naratip...

Mathematics and Climate Research Network - An Example of a Successful Community-Building Effort

19 Oct 2015 | Presentations | Contributor(s): Colin James Grudzien

Slides Hans Kaper prepared for a talk on October 1, 2015, titled "The Mathematics and Climate Research Network (MCRN) - An Example of a Successful Community-Building Effort."  It was part of the MPE 2013+ Workshop on Education for the Planet Earth of Tomorrow, September...