Category Archives: AM

Applied Mathematics

Newton’s Method and an Exact Opposite That Average into Halley’s Method

Author: Isaac Fried ABSTRACT This note is mainly concerned with the creation of oppositely converging and alternatingly converging iterative methods that have the added advantage of providing ever tighter bounds on the targeted root. By a slight parametric perturbation of … Continue reading

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Multigrid Solution of an Elliptic Fredholm Partial Integro-Differential Equation with a Hilbert-Schmidt Integral Operator

Author: Duncan Kioi Gathungu, Alfio Borzì ABSTRACT An efficient multigrid finite-differences scheme for solving elliptic Fredholm partial integro-differential equations (PIDE) is discussed. This scheme combines a second-order accurate finite difference discretization of the PIDE problem with a multigrid scheme that … Continue reading

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Advanced Hierarchical Fuzzy Classification Model Adopting Symbiosis Based DNA-ABC Optimization Algorithm

Author(s): Ting-Cheng Feng, Tzuu-Hseng S. Li ABSTRACT This paper offers a symbiosis based hybrid modified DNA-ABC optimization algorithm which combines modified DNA concepts and artificial bee colony (ABC) algorithm to aid hierarchical fuzzy classification. According to literature, the ABC algorithm … Continue reading

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