June 25, 2022

Numerical and Computational Challenges in Science and Engineering

The 2002 Workshop on
The Solution of Partial Differential Equations on the Sphere

August 12 - 15, 2002
The Fields Institute, Second Floor


John Drake (ORNL)
Paul Swarztrauber (NCAR)
Ken Jackson (University of Toronto)
David Williamson (NCAR)

The primary focus of the workshop is the development of new methods for fluid flow in spherical geometry. In particular, how new methods eliminate shortcomings of current methods and how they address the problems unique to spherical geometry. Application to the shallow water equations and to complete baroclinic models are of interest, as well as pure transport for chemistry models. Although atmospheric and ocean general circulation models are of primary interest, other geophysical applications are also encouraged.

Topics of interest include:

  1. monotone advection, geodesic grid systems, TVD methods, flux correction methods, vector and scalar spectral methods, alternative discretizations, and Eulerian and semi-Lagrangian methods applied to three dimensional baroclinic equations, two dimensional shallow water equations, or pure transport in spherical geometry;

  2. the presentation of results from current or new methods, and the comparison of these methods to standard schemes;

  3. the development and evaluation of new test methods -- in particular, the potential ability of test cases to evaluate dynamical cores of atmospheric and ocean general circulation models, reviews of experience with existing test cases, including what has been learned and what can be learned from such tests, and the introduction of additional test cases and experience with them;

  4. the performance of current methods of choice and new methods on parallel computers, including limitations associated with algorithm and computer design are appropriate; implementation details for distributed and shared memory architectures as well as discussion of attendant difficulties are of interest; characteristics of parallel computers that may affect computational algorithms, in particular, future design aspects could be considered as they might affect algorithm implementation.

Previous Workshops:

Montreal, Quebec, Canada, May 2001.
San Francisco, CA, U.S.A., November 1999.
Gatlinburg, TN, U.S.A., April 1998.

Submission of abstracts: May 15
Notification of acceptance: June 15
Registration deadline: July 15
Workshop: August 12-15

A block of rooms for participants have been arranged at the hotels listed below. Please request the Fields Institute rate when booking . In order to ensure your reservation, book before July 15, 2001.

Days Inn
30 Carleton Street,
Toronto, ON, M5B 2E9
Tel: 416 977-6655
Toll Free 1-800-367-9601 (8:30 am- 6pm)
(approx. $125/night CDN)
Quality Hotel
280 Bloor Street West
Toronto, ON, M5S 1V8
Tel: (416) 968-0010
Fax: (416) 968-7765
(approx. $115/night CDN)

For additional accommodation resources and on-campus summer residences, please see the Fields Housing page

Abstract Submission:

To submit an abstract for a talk, please email your name and the name of your institution together with the title of your talk and text of your abstract in plain text format or plain Latex to:

Thematic Year
The 2002 Workshop on the Solution of Partial Differential Equations on the Sphere is part of a year-long program on Numerical and Computational Challenges in Science and Engineering at the Fields Institute between August 2001 and August 2002; for details see
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