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On the Application of Multicomplex Algebras in Numerical Integration |
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PP: 1-9 |
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doi:10.18576/amis/100101
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Author(s) |
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S. Shirinkam,
A. Alaeddini,
H. R. Millwater,
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Abstract |
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| In this paper, we propose a methodology to numerically integrate functions using multicomplex algebras and their
corresponding matrix representations. The methodology employs multicomplex Taylor series expansion (MCTSE) to adaptively
approximate and integrate a function using sufficiently small number of points. We investigate this methodology by presenting three
different algorithms for various approximation strategies.We also use numerical studies to demonstrate the performance of the proposed
methodology. |
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