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By Richard Bartels, James W. Daniel (auth.), G. A. Watson (eds.)

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Covers work which is at a very preliminary stage. The above discussion However we now appear to under- stand better how to apply the hopscotch approach to problems with time derivatives higher than the first order. 4. Applications In the second part of this paper we will attempt to show how a hopscotch approach can be valuable in designing an algorithm to suit a particular type of problem. 1 Anisotropic problems Firstly we will report on some work carried out at Dundee by Morris and Nicoll (1973) on the use of hopscotch in solving heat conduction problems in anisotropic media.

Sedgwick, "The Structure of Programs for Ordinary Differential Equations", Technical Report, Department of Computer Science, University of Toronto, in preparation. i0. E. J. Hofbauer, "Language Facilities for Numerical Computation", Technical Report, Department of Computer Science, University of Toronto, in preparation. Ii. D. thesis, Department of Computer Science, University of Toronto (1973). 12. E. A. Steele, "DEFT: A Disciplined Extension of FORTRAN", Technical Report, Department of Computer Science, University of Toronto, in preparation.

Hull Abstract Factors involved in the development of good software are discussed, with particular reference to programs for solving ODE's. These factors include the basic structuring of the programs themselves, along with the appropriateness of various language facilities, comparisons of efficiency, proofs of correctness, certification and distribution, etc. Introduction There are several attributes one would like to have in good software packages. For one thing, programs should be convenient to use and easy to understand.

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