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
Mi, X.: Value mathematics and calculates. Fudan University Publishing House, Shanghai (1991)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)
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)
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)
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)
Department of Mathematics of Normal University of East China, Mathematical analysis. Higher Education Press, Beijing (2001)
Tongji University Mathematical Staffrom. Modern Numerical Mathematical and Computation. Tongji University Press, Shanghai (2004) (in Chinese)
Burden, R.L., Faires, J.D.: Numerical Analysis, 7th edn. Brooks /Cole, Thomson Learning, Inc. (2001)
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)
Cook, J.D.: Fast Numerical Integration. The Code Project (2009)
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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
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