Institute for Mathematics Applied to Geosciences (IMAGe)


  IMAGe Theme-of-the-Year Program (T-O-Y)

The Theme-of-the-Year is a program to focus on specific areas of research that will benefit from intense collaborative effort. The topics will be selected by the IMAGe external advisory panel and will be coordinated by a Visiting Co-director.

Theme for 2006: Emerging Mathematical Strategies for Multi-Scale and Stochastic Modeling of the Atmosphere and Climate

Coordinated by Joe Tribbia and Andrew Majda (Courant).

Promote new multi-disciplinary interactions between Atmospheric Science and Applied Mathematics on Contemporary Problems of Central Importance in Atmospheric Science and Climate.

Several levels of interaction:
  1. Highlight several important disciplinary problems within NCAR's mission where applied mathematics can contribute.
  2. Highlight several new emerging mathematical strategies to the Atmospheric Science community which can contribute significantly to 1.
  3. Make aware and begin to train new groups of young scientists (Ph.D. students, post docs, junior faculty) in both disciplines for the emerging multi-disciplinary opportunities in 1.and 2.
  4. Specifically, strengthen and nurture the multidisciplinary interaction between disciplinary NCAR scientists and both applied mathematicians at the Courant Institute as well as the interdisciplinary scientists in the new Climate, Atmosphere, Ocean Sciences Department at the Courant Institute of Mathematical Sciences.

Four interdisciplinary one-week workshops during Fall,Spring 2005-2006 with both a tutorial research/expository component for two days and a contemporary research component for the last three days. Both the proposed format and the topics for the four one-week workshops are described below including detailed science topics as well as suggested senior and mid-career lecturers. A. Majda as well as some Courant students and post docs will stay at NCAR for an additional week after each workshop to follow up some of the multi-disciplinary opportunities emerging from the workshop.

Workshop I. Multi-scale Interactions in the Tropics to Midlatitudes: Mathematical Theory, Observations and Numerical Models
Dates: 26-30 September 2005
Venue: NCAR Mesa Lab, Main Seminar Room


    Atmospheric Science:
  1. Multi-scale phenomena in Tropics: intraseasonal oscillation, cloud superclusters, clusters, etc.
  2. Tropical midlatitude connections
  3. Hurricane development
  4. Current capablity of GCM's to capture 1-3.
    Applied Math:
  1. Systematics multi-scale asymptotic methods for complex PDE's of tropics
  2. Analysis of simplified models emerging from 1 and application to problems in 1-4, including observations and numerics
  3. Balanced wave dynamics for equatorial wave guide, moisture, hurricanes, etc.

Workshop II. Multi-Scale Interactions in a GCM grid box: Mathematical Theory, Numerics, and Parameterization
Dates: 31 October - 4 November 2005
Venue: NCAR Mesa Lab, Main Seminar Room


    Atmospheric Science:
  1. Convection, Orography Moisture, Gravity Waves
  2. Paramterization and Numerics for GCM's for weather prediction and climate regimes
    Applied Math:
  1. Multi-scale asymptotic modeling and systematic numerics and parameterizations
  2. Simplified model problems
  3. High resolution numerics

Workshop III. Stochastic and Statistical Parameterization of Unresolved Features in the Atmosphere and Upper Ocean
Dates: 27 February - 3 March 2006
Venue: NCAR Mesa Lab, Main Seminar Room


    Atmospheric Science:
  1. Stochastic and/or statistical parameterization of convection, orography, surface fluxes, etc.
  2. Low order stochastic models for low frequency variablity
  3. Pinning parameters in parameterization through contemporary data assimilation strategies
    Applied Math:
  1. Systematic strategies for stochastic mode reduction
  2. Novel coarse gaining strategies using coupled birth death processes
  3. Bayesian hierarchical statistical models for parameterizations

Workshop IV. Multi-Scale Processes for Low Frequency Variability, Climate, and Climate Change Response
Dates: 15 - 19 May 2006
Venue: NCAR Foothills Lab Building 2, Main Seminar Room


    Atmospheric Science:
  1. Low frequency atmospheric variabilty and seasonal cycle
  2. Coupled GCM's and hierarchy of simplified climate models
  3. Observations for climate
    Applied Math:
  1. Design of optimal bases for low order models
  2. Theories for fluctuation-dissipation relations
  3. Analysis of stochastic and deterministic coupled models

Theme for 2005: Data Assimilation in the Geosciences

IMAGe is an active participant in the SAMSI 2004-05 Program on Data Assimilation for Geophysical Systems, particularly in the January 2005 workshop. There will be a DA working group. We have also hired Shree Khare as an NCAR/SAMSI joint postdoc.

IPAM Survey workshop in February. Undergraduate summer program.

The IMAGe Summer School and Workshop in June was a collaborative effort with SAMSI.