Abstract
A new method for solving numerical integration based on artificial glowworm swarm optimization algorithm is presented. The method can not only compute usual definite integral for any functions, but also compute singular integral and oscillatory integral. The simulation results show that the proposed algorithm for solving numerical integration has higher precision.
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Chen, Y.J.: WZ-method and asymptotic estimates for a kind of definite Integrals with parameter (in Chinese). Journal of South China Normal University 4, 1–6 (2009)
Krishnanand, K.N., Ghose, D.: Glowworm swarm optimisation: a new method for optimising multi-modal functions. Int. J. Computational Intelligence Studies 1(1), 93–119 (2009)
Xu, L., Li, L.: Neural Network Algorithm for Solving Numerical Integration (in Chinese). Journal of System Simulation 20(7), 1922–1924 (2008)
Wei, X., Zhou, Y., Lan, X.: Numerical integration method study based on function network (in Chinese). Computer Science 36(4), 224–226 (2009)
Wang, X., He, Y., Zeng, Z.: Numerical integration study based on triangle basis neural network algorithm (in Chinese). Journal of Electronics & Information Technology 26(3), 394–399 (2004)
Rouillier, F., Zimmermann, P.: Efficient isolation of polynomial’s real roots. Journal of Computational and Applied Mathematics 162, 33–50 (2004)
Burden, R.L., Faires, J.D.: Numerical analysis, pp. 190–206. Thomson Learning, Inc., Brooks/ Cole (2001)
Wang, X.H., He, Y.G., Zing, Z.Z.: Numerical integration study based on triangle basis neural network algorithm. Journal of Electronics & Information Technology 26(3), 394–399 (2004)
Zhou, Y., Zhang, M., Zhao, B.: Solving numerical inregration based on evolution strategy method (in Chinese). Chinese Journal of Computers 31(2), 196–206 (2008)
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© 2011 Springer-Verlag Berlin Heidelberg
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Yang, Y., Zhou, Y. (2011). Glowworm Swarm Optimization Algorithm for Solving Numerical Integral. In: Chen, R. (eds) Intelligent Computing and Information Science. ICICIS 2011. Communications in Computer and Information Science, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18129-0_61
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DOI: https://doi.org/10.1007/978-3-642-18129-0_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18128-3
Online ISBN: 978-3-642-18129-0
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