Introduction to the Mathematics of Climate at UMN - Lecture 1
07 May 2015 | Presentations | Contributor(s): Richard McGehee
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
07 May 2015 | Series | Contributor(s): Richard McGehee
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...
Synchronization in power grid networks
07 May 2015 | Presentations | Contributor(s): Suman Acharyya
This survey discusses Master Stability Function (MSF) analysis for determining stability of synchronization of coupled oscillators on network. In addition, we briefly discuss the derivation of the Swing equation that determine the dynamics of a node in power grid network, and...
Complex Energy Systems
07 May 2015 | Presentations | 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...
A Survey of Grid Control and Optimization
07 May 2015 | Presentations | 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.
Biology, Chemistry, and Physics of Biofilms: Survey of basics
04 May 2015 | Educational Materials | Contributor(s): Isaac Klapper
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
Low-Order Climate Models
04 May 2015 | Educational Materials | Contributor(s): Daniel Koll
This is a list of 'simple' climate models by Daniel Koll. The papers are meant to be comprehensible & interesting to a general audience as well as relevant to climate researchers.
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 Phytoplankton-Nutrient Modeling at the 2011 MBI Workshop on Ocean Ecologies and their Physical Habitats in a Changing Climate, and the follow-on lectures on Phytoplankton growth in oligotrophic oceans: Linear...
Particle filters for geophysical applications
30 Apr 2015 | Presentations | Contributor(s): Javier Amezcua
Avoiding degeneracy is a crucial challenge for particle filters. Results have shown that the number of particles scales exponentially with respect to the number of independent observations. In this talk I will review attempts to counteract this phenomenon by exploiting proposal densities. I will...
Toward a hybrid particle-ensemble Kalman filter for assimilating data from Lagrangian instruments into high dimensional models
30 Apr 2015 | Presentations | Contributor(s): Elaine Spiller
Presented by Elaine Spiller on 3-26-15Abstract:We discuss a recently proposed hybrid particle-ensemble Kalman filter for assimilating Lagrangian data, and apply it to a high-dimensional quasi-geostrophic ocean model. Effectively the hybrid filter applies a particle filter to the highly nonlinear,...
Emulators in climate science. Uncertainty, sensitivity, calibration and more
30 Apr 2015 | Presentations | Contributor(s): Peter Challenor
An emulator or a surrogate is a statistical approximation of a complex numerical model. Emulators are fast to run and include a measure of their own uncertainty. This makes them suitable for a number of applications in climate science. Emulators were originally devised for uncertainty...
Statistical Data Assimilation For Parameter Estimation In Costal Ocean Hydrodynamics Modeling
30 Apr 2015 | Presentations | Contributor(s): Talea Mayo
Coastal ocean models are used for a variety of applications, including modeling tides and hurricane storm surge. These models numerically solve the shallow water equations, which are derived by depth integrating the Navier-Stokes equations. The inherent uncertainties in coastal ocean models are a...
Correlated Observation Errors in Data Assimilation
30 Apr 2015 | Presentations | Contributor(s): Sarah Dance
Remote sensing observations often have correlated errors, but the correlations are typically ignored in data assimilation for numerical weather prediction. The assumption of zero correlations is often used with data thinning methods, resulting in a loss of information, and reduction in analysis...
An Introduction to Lagrangian Data Assimilation - Part II
23 Mar 2015 | Presentations | Contributor(s): Laura Slivinski
Lauara Slivinski at Woods Hole Oceanographic Institution gives an introduction to Lagrangian Data Assimilation on 11-13-2014.
An Introduction to Lagrangian Data Assimilation - Part I
23 Mar 2015 | Presentations | Contributor(s): Laura Slivinski
Laura Slivinski at Woods Hole Oceanographic Institute gives an introduction to Lagrangian Data Assimlation on 10-30-2014.
Andy Reagan: Masters Thesis
23 Mar 2015 | Presentations | Contributor(s): Andy Reagan
Andy Reagan at UVM gives a talk about his masters work on uncertainty quantification and data assimilation to improve the numerical prediction of fluids in the thermosyphon. This talk will involve several data assimilation methods, including variational techniques, but will focus on LETKF....
An Introduction to Variational Data Assimilation
23 Mar 2015 | Presentations | Contributor(s): Naratip Santitissadeekorn
Naratip Santitissadeekorn gives an introductory survey of variational techniques in data assimilation including 3D-VAR and 4D-VAR. This talk was given on 10-2-14.
Computational Techniques for Lyapunov Exponents and Vectors
23 Mar 2015 | Presentations | Contributor(s): Erik Van Vleck
In this talk we present computational techniques for Lyapunov exponents and vectors based upon continuous matrix factorizations (QR and SVD). We outline the techniques, their well-posedness, error analysis/perturbation theory, and describe codes we have developed. We then discuss application of...
Sea Ice Physics and Biology
18 Mar 2015 | Educational Materials | Contributor(s): S. F. Ackley
Bibliography by S.F.Ackley to accompany tutorial lecture on Biology/Physics Interface in Sea Ice at the 2011 MBI Workshop on Ocean Ecologies and their Physical Habitats in a Changing Climate
NSF's Science Nation Video on David Holland's field work in Greenland
18 Mar 2015 | Presentations
MCRN member and founding principal investigator David Holland was featured in the NSF's Science Nation video, titled, "Mathematician uses skills to study Greenland's retreating glaciers," on September 9,...