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  1. 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...

  2. 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...

  3. 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...

  4. 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.

  5. 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.

  6. 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.

  7. 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. 

  8. 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.

  9. Local and non-local 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...

  10. 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....

  11. 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...

  12. Mathematics and Climate Research Network - An Example of a Successful Community-Building Eff ort

    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...

  13. Orbital Forcing and Ice Age

    02 Jun 2015 | Educational Materials

    Annotated Bibliography by Daniel Koll

  14. Midwest Mathematics and Climate Conference - Day 2 Afternoon Session

    12 May 2015 | Presentations | Contributor(s): Laura Slivinski

    Charles Jackson, University of Texas, AustinDual-state Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) global-scale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...

  15. Midwest Mathematics and Climate Conference - Day 3 Afternoon Session

    12 May 2015 | Presentations | Contributor(s): Laura Slivinski

    Mary Silber, Northwestern UniversityPattern Formation in the Drylands: Self Organization in Semi-Arid EcosystemsMuch of our understanding of spontaneous pattern formation in spatially extended systems was developed in the “wetlands" of fluid mechanics. That setting allowed...

  16. Midwest Mathematics and Climate Conference

    12 May 2015 | Workshops | Contributor(s): Laura Slivinski

    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...

  17. Midwest Mathematics and Climate Conference

    12 May 2015 | Workshops

    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...

  18. Midwest Mathematics and Climate Conference - Day 1 Afternoon Session

    12 May 2015 | Presentations

    Graham Feingold, National Oceanic & Atmospheric AdministratonDynamical System Analogues to Cloud SystemsShallow convection exhibits fascinating cellular structures at scales of a few to several hundred kilometers. Configurations of relatively cloud free open cell states, or much cloudier...

  19. Introduction to the Mathematics of Climate at UMN - Lecture 23

    12 May 2015 | Presentations | Contributor(s): Laura Slivinski

    This is lecture 23 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.

  20. Introduction to the Mathematics of Climate at UMN - Lecture 23

    12 May 2015 | Presentations | Contributor(s): Colin James Grudzien

    This is lecture 23 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.