Cameron University professor of mathematics Dr. Ioannis K. Argyros has co-authored two new textbooks, "Efficient Methods for Solving Equations and Variational Inequalities" and "Aspects of Computational Theory for Certain Iterative Methods." Written with Dr. Said Hilout of Poitiers University, Poitiers, France, the volumes have been published by International Polimetrica Publishing Company in Milan, Italy.
Both books are intended for senior undergraduate students, graduate students researchers, and practitioners in computational mathematics, engineering, mathematical economics, optimization and nonlinear analysis.
Researchers in computational sciences are faced with the problem of solving a variety of equations or variational inequalities. "Efficient Methods for Solving Equations and Variational Inequalities" gives an answer to the rapid development in the field of computational sciences and its applications. Argyros and Hilout collected results on the convergence analysis of numerical methods in both finite-dimensional and infinite-dimensional spaces and present several applications in engineering, dynamic economic systems, equilibria, control theory, linear/nonlinear differential equations, partial differential equations and optimization problems. The book also provides comparison between various investigations made in recent years in the field of computational sciences.
In computational sciences, a large number of problems are solved by finding the solutions of certain equations or generalized equations that model dynamic systems, optimality or equilibrium problems, and then have several applications in engineering, economy, and control theory. "Aspects of Computational Theory for Certain Iterative Methods" presents a comprehensive study for general aspects of the computational theory of numerical methods and gives comparison between various investigations made in recent years in the field of computational sciences and its applications.
Argyros joined the CU faculty in 1990. He is the author of 19 other books/monographs and has published more than 600 peer-reviewed articles on computational mathematics. Currently he serves on the editorial boards of 21 mathematical journals. His honors including the Distinguished Research Award, presented in 2001 by the Southwest Oklahoma Advanced Technology Association.
February 23, 2010