
Emulators in climate science. Uncertainty, sensitivity, calibration and more
30 Apr 2015  Presentations  Contributor(s): Mary Lou Zeeman
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): Mary Lou Zeeman
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 NavierStokes equations. The inherent uncertainties in coastal ocean models are a...

Correlated Observation Errors in Data Assimilation
30 Apr 2015  Presentations  Contributor(s): Mary Lou Zeeman
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): Mary Lou Zeeman
Lauara Slivinski at Woods Hole Oceanographic Institution gives an introduction to Lagrangian Data Assimilation on 11132014.

An Introduction to Lagrangian Data Assimilation  Part I
23 Mar 2015  Presentations  Contributor(s): Mary Lou Zeeman
Laura Slivinski at Woods Hole Oceanographic Institute gives an introduction to Lagrangian Data Assimlation on 10302014.

Andy Reagan: Masters Thesis
23 Mar 2015  Presentations  Contributor(s): Mary Lou Zeeman
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): Mary Lou Zeeman
Naratip Santitissadeekorn gives an introductory survey of variational techniques in data assimilation including 3DVAR and 4DVAR. This talk was given on 10214.

Computational Techniques for Lyapunov Exponents and Vectors
23 Mar 2015  Presentations  Contributor(s): Mary Lou Zeeman
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 wellposedness, 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
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,...

Extending the square root method to account for model noise in the ensemble Kalman filter
25 Feb 2015  Presentations  Contributor(s): Mary Lou Zeeman
Presented by Patrick Raanes on 2182015 Abstract:A novel approach to account for model noise in the forecast step of the Ensemble Kalman filter (EnKF) is proposed. The core method is based on the approach of the analysis step of ensemble square root filters (ETKF), and...

Deriving the Shallow Water Model in Geophysical Fluid Dynamics
01 Jan 2013  Series  Contributor(s): Laura Slivinski
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...