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The Spectrum of Mathematical Modeling and Systems Simulation

In: Modeling and Simulation: Theory and Practice

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  • Walter J. Karplus

    (University of California, Computer Science Department)

Abstract

The methodology involved in the modeling and simulation of physical, life and social science systems is viewed in perspective. A critical factor determining the validity of a model is the extent to which it can be derived from basic laws and insights into the internal structure of the system using deductive methods, rather than relying upon observations and measurements of the system input and outputs. Accordingly, the mathematical models as they arise in various application disciplines are arranged along a spectrum according to the relative amount of deduction and induction involved in their construction. This provides an insight into the ultimate validity of simulations and to what use they can properly be put.

Suggested Citation

  • Walter J. Karplus, 2003. "The Spectrum of Mathematical Modeling and Systems Simulation," Springer Books, in: George A. Bekey & Boris Y. Kogan (ed.), Modeling and Simulation: Theory and Practice, chapter 6, pages 45-58, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0235-7_7
    DOI: 10.1007/978-1-4615-0235-7_7
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