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Solving Numerical Integration by Particle Swarm Optimization

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Information Computing and Applications (ICICA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 106))

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Abstract

Solving numerical integration by particle swarm optimization by traditional methods not only cannot satisfy parallel but also their segmentation points are uniform. In this paper, particle swarm optimization is used to calculating the numerical value of definite integrals, which sufficiently exerts the advantage of particle swarm optimization such as group search and global convergence. It satisfies the question of parallel calculating numerical integration in engineering and those segmentation points are adaptive. Several numerical simulation results show that the algorithm offers an effective way to calculate numerical value of definite integrals, and it has high convergence rate, high accuracy and robustness.

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References

  1. Mi, X.: Value mathematics and calculates. Fudan University Publishing House, Shanghai (1991)

    Google Scholar 

  2. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  3. Shen, H.Y., Peng, X.Q., Wang, J.N., Hu, Z.K.: A mountain clustering based on improved PSO algorithm. In: Wang, L., Chen, K., S. Ong, Y. (eds.) ICNC 2005. LNCS, vol. 3612, pp. 477–481. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Eberhart, R.C., Shi, Y.: Extracting rules from fuzzy neural network by particle swarm optimization. In: Proceedings of IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, USA (1998)

    Google Scholar 

  5. Shi, Y., Eberhart, R.C.: A modified particle swarm optimizer. In: Proceedings of the IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, USA, pp. 69–73 (1998)

    Google Scholar 

  6. Department of Mathematics of Normal University of East China, Mathematical analysis. Higher Education Press, Beijing (2001)

    Google Scholar 

  7. Tongji University Mathematical Staffrom. Modern Numerical Mathematical and Computation. Tongji University Press, Shanghai (2004) (in Chinese)

    Google Scholar 

  8. Burden, R.L., Faires, J.D.: Numerical Analysis, 7th edn. Brooks /Cole, Thomson Learning, Inc. (2001)

    Google Scholar 

  9. Wang, X.H., He, Y.G., Zeng, Z.Z.: Numerical Integration Study Based on triangle Basis Neural Network Algorithm. Journal of Electronics & Information Technology (2004)

    Google Scholar 

  10. Cook, J.D.: Fast Numerical Integration. The Code Project (2009)

    Google Scholar 

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Qu, L., He, D. (2010). Solving Numerical Integration by Particle Swarm Optimization. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16339-5_30

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  • DOI: https://doi.org/10.1007/978-3-642-16339-5_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16338-8

  • Online ISBN: 978-3-642-16339-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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