Exploring the overall behaviour of solutions of recursive computational models

Author:

Hämäläinen J.S.,Aunola M.,Malm S.R.

Abstract

PurposeTo determine and/or examine overall behaviour of simulation models with large input using as few parameters as possible. To introduce a methodology describing stability of the partitioning of simulation results and the corresponding parameter space.Design/methodology/approachPartitionings of the parameter space are performed using real‐valued mappings called measures of merit. Tools for examining evolution of partitionings and correlations between different partitionings are developed. These tools are applied in two case studies within the field of electrical engineering.FindingsThe presented approach provides tools for systematic analysis of parametrised models. Since the classification of results is based on measures of merit, a good choice both simplifies the analysis and improves the stability of partitioning. Included case studies highlight these conclusions.Research limitations/implicationsThe present form of the methodology is targeted at recursive simulations. Use of more complex partitioning procedures could be the topic of further research.Originality/valueSolid framework for handling and analysing complex parametrised simulations.

Publisher

Emerald

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications

Reference7 articles.

1. Hämäläinen, J.S., Järviö, P.S. and Malm, S.R. (2002a), “Novel description of a numerical EMC problem”, Proceedings of International Symposium on Electromagnetic Compatibility, Sorrento, pp. 591‐4.

2. Hämäläinen, J.S., Rajaniemi, H.J. and Hirvi, K.P. (2002b), “Using mathematical models to cope with complex computer simulations”, IEEE Computing in Science and Engineering, Vol. 4, pp. 64‐72.

3. Holland, R. and St John, R. (1999), Statistical Electromagnetics, Taylor & Francis, Philadelphia, PA.

4. Lehman, T.H. (1993), “A statistical theory of electromagnetic fields inside cavities”, Air Force Research Laboratory, Interaction note 494.

5. Murano, K. and Kami, Y.A. (2002), “A new immunity test method”, IEEE Trans. Electromagn. Compat., Vol. 44, pp. 119‐24.

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