On the Application of Multicomplex Algebras in Numerical Integration

Authors

S. Shirinkam, Department of Mathematics, University of Texas at San Antonio, TX 78249, USAFollow
A. Alaeddini, Department of Mechanical Engineering, University of Texas at San Antonio, TX 78249, USAFollow
H. R. Millwater, Department of Mechanical Engineering, University of Texas at San Antonio, TX 78249, USAFollow

Author Country (or Countries)

USA

Abstract

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)

http://dx.doi.org/10.18576/amis/100101

Recommended Citation

Shirinkam, S.; Alaeddini, A.; and R. Millwater, H. (2016) "On the Application of Multicomplex Algebras in Numerical Integration," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/amis/100101
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/1