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.
Digital Object Identifier (DOI)
Shirinkam, S.; Alaeddini, A.; and R. Millwater, H.
"On the Application of Multicomplex Algebras in Numerical Integration,"
Applied Mathematics & Information Sciences: Vol. 10:
1, Article 1.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/1