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MCRN

Complex Energy Systems

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 renewable energy …
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 2

This is lecture 2 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.It continues to address the questionsIs the globe warming?What determines the Earth's temper…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 3

This is lecture 3 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.This lecture covers basics of earth's energy balance, including concepts such as the Stefan-…
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 5

This is lecture 5 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.It explores the what and why of Earth's glacial cycles. Topics treated include:how analysis …
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 7

This is lecture 7 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.It reviews previous lectures on glacial cycles, and illustrates how Budyko's model fails to …
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 8

This is lecture 8 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.It continues the survey of recent developments in modeling glacial cycles, including Huybers'…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 14

This is lecture 14 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.It provides an introduction to linear analysis of equilibria to better understand the nature of…
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 19

This is lecture 19 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.It presents some basics of bifurcation theory, including saddle-node bifurcations, Poincare con…
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 22

This is lecture 22 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.This lecture treats the phenomenon of exponential growth in errors for chaotic systems, using L…
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MCRN

Midwest Mathematics and Climate Conference

The conference is sponsored by the National Science Foundation, Institute of Mathematics and Its Applications, the Office of Research,College of Liberal Arts and Sciences, and the Department of Mathematics, Department of Geography/Atmospheric Science Program, and The Commons at the University of Kan…
  • Resource Workshops
MCRN

Deriving the SWM Lecture 1: Conservation of Potential Vorticity

This lecture develops the conservation equation for potential vorticity in the shallow water model. This is the first in a series of short lectures on deriving the shallow water model, given by Chris Jones in 2013. This lecture develops the conservation equation for potential vorticity in the shallo…
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MCRN

Geometric Dynamical Systems: Manifolds and Stability Part III

This is the final 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 second ye…
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MCRN

Chaotic Dynamical Systems: the Horseshoe Map

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 cours…
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QUBES

XPPAUT

From Bard Ermentrout (2007), Scholarpedia, 2(1):1399:XPPAUT is a general numerical tool for simulating, animating, and analyzing dynamical systems. These can range fromdiscrete finite state models (e.g., McCulloch-Pitts neurons) tostochastic Markov models, todiscretization of partial differential eq… Launch Tool
  • Resource Software (On-site)
MCRN

Extending the square root method to account for model noise in the ensemble Kalman filter

Presented by Patrick Raanes on 2-18-2015 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 consists in right-multiplying…
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MCRN

Complex Phytoplankton Dynamics: The Mathematical Perspective

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 theory b…
  • Resource Educational Materials
MCRN

Introduction to the Mathematics of Climate

…rse webpage and syllabus below for additional information.Course webpage SyllabusLectures: 2:30 - 3:45 pm MWLind Hall 305Instructor: Professor Richard McGehee   Textbook: Hans Kaper and Hans Engler, Mathematics & Climate, SIAM, 2013. more...   Course Grade: Homework 25Project 65Subjective Evaluation* 10Total 100*The subjective evaluation includes class participation and effort.   Project: Each student must complete a class project according to the following schedule. Students are expected to discuss the project with the instructor before the preliminary proposal is due on October 1. Group proje…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 4

This is lecture 4 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.It begins by summarizing various energy balance models, building in complexity toward Budyko'…
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 6

This is lecture 6 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.It continues with lecture 5's topics of glacial cycles, Milankovitch cycles, obliquity, prec…
  • Resource Presentations
MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 13

This is lecture 13 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.This lecture works through the details of Stommel's Ocean Box Model, which displays two con…
  • Resource Presentations

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