An approach to optimizing adaptive parabolic PDE solvers for the Grid

Vikram Adve, James Browne, Brian Ensink, John Rice, Patricia Teller, Mary Vernon, Stephen Wright

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The method of lines is a widely used algorithm for solving parabolic partial differential equations that could benefit greatly from implementation on Grid computing environments. This paper outlines the issues involved in executing method-of-lines codes on a Grid and in developing model-driven adaptive control strategies for these codes. We have developed a parameterizable benchmark called MOL that captures a wide range of realistic method-of-lines codes. We are using this benchmark to develop performance models that can be used to achieve specific optimality criteria under the available (and dynamically varying) resources of a Grid environment, and under user-specified goals for solution error and computational rate-of-progress. We are developing a componentization strategy that can enable effective adaptive control of MOL, as well as language and compiler support that can simplify the development of adaptive distributed applications. If successful, this work should yield a much better understanding than we have at present of how an important class of parallel numerical applications can be executed effectively in a dynamic Grid environment.

Original languageEnglish (US)
Title of host publicationProceedings - International Parallel and Distributed Processing Symposium, IPDPS 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)0769519261, 9780769519265
DOIs
StatePublished - Jan 1 2003
EventInternational Parallel and Distributed Processing Symposium, IPDPS 2003 - Nice, France
Duration: Apr 22 2003Apr 26 2003

Publication series

NameProceedings - International Parallel and Distributed Processing Symposium, IPDPS 2003

Other

OtherInternational Parallel and Distributed Processing Symposium, IPDPS 2003
CountryFrance
CityNice
Period4/22/034/26/03

Keywords

  • Adaptive Grid Applications
  • Method of Lines
  • PDE Solvers
  • Performance Modeling

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Theoretical Computer Science
  • Software

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  • Cite this

    Adve, V., Browne, J., Ensink, B., Rice, J., Teller, P., Vernon, M., & Wright, S. (2003). An approach to optimizing adaptive parabolic PDE solvers for the Grid. In Proceedings - International Parallel and Distributed Processing Symposium, IPDPS 2003 [1213385] (Proceedings - International Parallel and Distributed Processing Symposium, IPDPS 2003). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IPDPS.2003.1213385