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A Case Study in Parallel Program Derivation: the Heat Equation Algorithm

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Functional Programming, Glasgow 1994

Part of the book series: Workshops in Computing ((WORKSHOPS COMP.))

Abstract

We investigate the application of functional specification and program transformation in a practical setting using a simple case study: the derivation of a parallel program for solving the heat equation. The main concerns here are: (1) how to write an initial specification of the algorithm using a notation appropriate to the subject area (partial differential equations), (2) the introduction of an intermediate algorithm specification using bidirectional mapping scan, and (3) the use of equational reasoning to transform the specification.

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References

  1. A. Bunkenburg and S. Flynn, “Expression refinement: deriving Bresenham’s algorithm,” Functional Programming: Glasgow 1994,Springer-Verlag Workshops in Computing.

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  2. C. Lengauer, “Loop parallelization in the Polytope Model,” Proc. CONCUR (1993).

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  3. J. O’Donnell, “Generating netlists from executable circuit specifications in a pure functional language,” Functional Programming Glasgow 1992,Springer-Verlag Workshops in Computing 178–194.

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  4. J. O’Donnell, ‘Bidirectional fold and scan,“ Functional Programming: Glasgow 1993, Springer Workshops in Computing (1994).

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  5. J. O’Donnell, “A correctness proof of parallel scan,” Parallel Processing Letters (Sept. 1994).

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Author information

Authors and Affiliations

  1. University of Glasgow, Glasgow, Scotland

    John O’Donnell

  2. Universität des Saarlandes, Saarbrücken, Deutschland

    Gudula Rünger

Authors
  1. John O’Donnell
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  2. Gudula Rünger
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Editor information

Editors and Affiliations

  1. Department of Computing Science, Glasgow University, G12 8QQ, Glasgow, Scotland

    Kevin Hammond PhD , David N. Turner BSc  & Patrick M. Sansom BSc, PhD ,  & 

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© 1995 Springer-Verlag London

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O’Donnell, J., Rünger, G. (1995). A Case Study in Parallel Program Derivation: the Heat Equation Algorithm. In: Hammond, K., Turner, D.N., Sansom, P.M. (eds) Functional Programming, Glasgow 1994. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3573-9_12

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  • DOI: https://doi.org/10.1007/978-1-4471-3573-9_12

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19914-4

  • Online ISBN: 978-1-4471-3573-9

  • eBook Packages: Springer Book Archive

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