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Applied Mathematics

Section Editor: Panos Pardalos

Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida. Additionally, he is the Director of the Center for Applied Optimization. Dr. Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications, and massive computing.

He is also the Paul and Heidi Brown Preeminent Professor in Industrial & Systems Engineering, and is an affiliated faculty member of the Computer and Information Science Department, the Hellenic Studies Center, and the Biomedical Engineering Program

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  1. In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order ...

    Authors: P. O. Mohammed and F. K. Hamasalh
    Citation: SpringerPlus 2016 5:2096
  2. Non-coaxial rotation has wide applications in engineering devices, e.g. in food processing such as mixer machines and stirrers with a two-axis kneader, in cooling turbine blades, jet engines, pumps and vacuum...

    Authors: Ahmad Qushairi Mohamad, Ilyas Khan, Zulkhibri Ismail and Sharidan Shafie
    Citation: SpringerPlus 2016 5:2090
  3. The flow over a porous wedge, in the presence of viscous dissipation and Joule heating, has been investigated. The wedge is assumed to be saturated with nanofluid containing gyrotactic microorganisms. For the...

    Authors: Umar Khan, Naveed Ahmed and Syed Tauseef Mohyud-Din
    Citation: SpringerPlus 2016 5:2043
  4. In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz di...

    Authors: Marija Miteva, Biljana Jolevska-Tuneska and Tatjana Atanasova-Pacemska
    Citation: SpringerPlus 2016 5:2042
  5. This paper presents a genetic algorithm based hybrid approach for solving a fuzzy multi-objective assignment problem (FMOAP) by using an exponential membership function in which the coefficient of the objectiv...

    Authors: Jayesh M. Dhodiya and Anita Ravi Tailor
    Citation: SpringerPlus 2016 5:2028
  6. The permutation transformation of tensors is introduced and its basic properties are discussed. The invariance under permutation transformations is studied for some important structure tensors such as symmetri...

    Authors: Yao-Tang Li, Zheng-Bo Li, Qi-Long Liu and Qiong Liu
    Citation: SpringerPlus 2016 5:2023
  7. Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft normed rings by soft set theory. The notio...

    Authors: Vakkas Uluçay, Mehmet Şahin and Necati Olgun
    Citation: SpringerPlus 2016 5:1950
  8. In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and ...

    Authors: Hee Sik Kim, J. Neggers and Keum Sook So
    Citation: SpringerPlus 2016 5:1865
  9. In this communication, we describe the Homotopy Perturbation Method with Laplace Transform (LT-HPM), which is used to solve the Lane–Emden type differential equations. It’s very difficult to solve numerically ...

    Authors: Rajnee Tripathi and Hradyesh Kumar Mishra
    Citation: SpringerPlus 2016 5:1859
  10. The following paper evaluates a watermark algorithm designed for digital images by using a perceptive mask and a normalization process, thus preventing human eye detection, as well as ensuring its robustness a...

    Authors: Sandra L. Gomez Coronel, Boris Escalante Ramírez and Marco A. Acevedo Mosqueda
    Citation: SpringerPlus 2016 5:1830
  11. In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Line...

    Authors: Jun He, Yan-Min Liu, Hua Ke, Jun-Kang Tian and Xiang Li
    Citation: SpringerPlus 2016 5:1727
  12. This work presents an analytical solution of some nonlinear delay differential equations (DDEs) with variable delays. Such DDEs are difficult to treat numerically and cannot be solved by existing general purp...

    Authors: Brahim Benhammouda and Hector Vazquez-Leal
    Citation: SpringerPlus 2016 5:1723
  13. We present in this paper the convergence properties of Jacobi spectral collocation method when used to approximate the solution of multidimensional nonlinear Volterra integral equation. The solution is suffic...

    Authors: Yunxia Wei, Yanping Chen, Xiulian Shi and Yuanyuan Zhang
    Citation: SpringerPlus 2016 5:1710
  14. In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the i...

    Authors: Behnaz Koocheck Shooshtari, AbdolMohammad Forouzanfar and MohammadReza Molaei
    Citation: SpringerPlus 2016 5:1667
  15. The global k-means algorithm is an incremental approach to clustering that dynamically adds one cluster center at a time through a deterministic global search procedure from suitable initial positions, and employ...

    Authors: Xiaoyan Wang and Yanping Bai
    Citation: SpringerPlus 2016 5:1665
  16. A smoothed representation (based on natural exponential and logarithmic functions) for the canonical piecewise-linear model, is presented. The result is a completely differentiable formulation that exhibits in...

    Authors: Victor M. Jimenez-Fernandez, Maribel Jimenez-Fernandez, Hector Vazquez-Leal, Evodio Muñoz-Aguirre, Hector H. Cerecedo-Nuñez, Uriel A. Filobello-Niño and Francisco J. Castro-Gonzalez
    Citation: SpringerPlus 2016 5:1612
  17. The aim of this paper is to study the individual and social benefits behind constructing stable R&D networks. We find that the equilibrium outcomes of a stable network are related to the number of competitors....

    Authors: Mohamad Alghamdi
    Citation: SpringerPlus 2016 5:1570
  18. This paper is concerned with the modeling of engineering images by the fractal properties of 6-point binary interpolating scheme. Association between the fractal behavior of the limit curve/surface and the par...

    Authors: Ghulam Mustafa, Mehwish Bari and Saba Jamil
    Citation: SpringerPlus 2016 5:1493
  19. In this study, a novel bio-inspired computing approach is developed to analyze the dynamics of nonlinear singular Thomas–Fermi equation (TFE) arising in potential and charge density models of an atom by exploi...

    Authors: Muhammad Asif Zahoor Raja, Aneela Zameer, Aziz Ullah Khan and Abdul Majid Wazwaz
    Citation: SpringerPlus 2016 5:1400