A prototyping environment for differential equations

ABSTRACT

A system is presented to allow end users to solve nonlinear differential equations without need to write computer programs. The system treats nth order space (one dimensional), first order time systems with initial and/or two point boundary value specification. Users of the system need only enter the problem in direct mathematical notation, and output is automatically presented as a solution graph. The system allows the user to alter this equations, in-situ, that is to computationally steer his model. Thus the system is suited for model prototyping. Implementation is based on an object-oriented paradigm, well established and robust numerical procedures, and distributed computing to supported needed resources for numerically intensive tasks.

REFERENCES

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• 2: CHAR, B W., GEDDES, K. 0., GONNET, G H, MONAGA~, M. B, AND WATT, S M MAPLE Reference Manual. Umv of Waterloo, WATCOM Publications Ltd., Waterloo, Canada, 1988
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• 5: PESKIN, R. L., WALTHER, S. S., FI~O~NCIO1NI, A. M., AND BOUBEZ, T.I. Incremental visualiza~ tion as a strategy for computational steering. IBM J. Res. Dev. To be published, 1992.
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INDEX TERMS

Primary Classification:
  D. Software
  D.2 SOFTWARE ENGINEERING
      D.2.6 Programming Environments

Additional Classification:
  D. Software
  D.2 SOFTWARE ENGINEERING
      D.2.m Miscellaneous
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: Smalltalk

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.5 Roots of Nonlinear Equations

General Terms:
Design, Experimentation, Languages