Mitic, Peter; (2001) Mathematical Modelling and Workflow. In: Tazawa, Yoshihiko and Sakakibara, Susumu, (eds.) Symbolic Computation: New Horizons, Proceedings of the Fourth International Mathematica Symposium. Tokyo Denki University Press: Tokyo, Japan.

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Abstract

This work derives from a recent advance in mathematical modelling based on Object-Oriented principles. Its principal idea is to automate model-generation by defining a rule-based system. Objects within a problem domain can be created, and then iteratively linked in a well-defined manner, until precise goals are achieved. In general, the goal is to generate an equation of state for the system. The iterative process uses queue management principles usually associated with Workflow systems, but eliminates human intervention. The result is a flexible and extendible system that can, given object definitions and rules for progressing the workflow, generate equations of motion automatically within the context of Newtonian particle mechanics. I refer to this methodology as Object-Workflow in this paper.

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