Walter J. Karplus
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.
- T. S. Kuhn, The Structure of Scientific Revolutions (University of Chicago Press, Chicago, 1962).Google Scholar
- D. Bohm, Causality and Chance in Modern Physics, (Routledge and Kegan Paul Ltd., London, 1957)Google Scholar
- M. Born, Natural Philosophy of Cause and Chance (Clarendon Press, London, 1949).Google Scholar
- P. Frank, Philosophy of Science (Prentice-Hall, Englewood Cliffs, New Jersey, 1957).Google Scholar
- Y. Chu, Digital Simulation of Continuous Systems (McGraw-Hill Inc., New York, 1969).Google Scholar
- Proceedings, IBM Scientific Computing Symposium: Digital Simulation of Continuous Systems (International Business Machines Corporation, White Plains, New York, 1967).Google Scholar
- W. Jentsch, Digitale Simulation Kontinuierlicher Systeme (R. Oldenbourg Verlag, Munich, 1969) (German).Google Scholar
- W. Karplus, Analog Simulation: Solution of Field Problems (McGraw-Hill Inc., New York, 1958).Google Scholar
- G. Vansteeenkiste (Editor),'Proceedings, IFIP Working Conference on Computer Simulation of Water Resources Systems (North-Holland Publishing, Amsterdam, 1974).Google Scholar
- G. Flemming, Computer Simulation Techniques in Hydrology (Elsevier, New York, 1975).Google Scholar
- D. D. Sworder, Systems and Simulation in the Service of Society, Simulation Councils Proceedings, Vol. 1, (1971).Google Scholar
- G. Vansteenkiste (Editor), Proceedings, IFIP Working Conference on Biosystems Simulation in Water Resources Systems (North-Holland Publishing, Amsterdam, 1975).Google Scholar
- G. S. Innis (Editor), Simulation Application in System Ecology, Society for Computer Simulation Proceedings Vol. 5, 1975).Google Scholar
- J. W. Forrester, Urban Dynamics (MIT Press, Cambridge, Mass, 1969).Google Scholar
- G. Gordon, System Simulation, (Prentice Hall, Englewood Cliffs, New Jersey, 1969). Google ScholarDigital Library
- H. Maisel, G. Gnugoli, Simulation of Discrete Stochastic Systems, Science Research Associates Inc., Chicago, (1972).Google Scholar
- P. Rivett, Principles of Model Building (John Wiley and Sons, London, 1972).Google Scholar
Index Terms
- The spectrum of mathematical modeling and systems simulation
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