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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 study, the Fibonacci collocation method based on the Fibonacci polynomials are presented to solve for the fractional diffusion equations with variable coefficients. The fractional derivatives are descr...

    Authors: Ayşe Kurt Bahşı and Salih Yalçınbaş
    Citation: SpringerPlus 2016 5:1375
  2. Time unit invariance is introduced as an additional requirement for multiperiod risk measures: for a constant portfolio under an i.i.d. risk factor process, the multiperiod risk should equal the one period ris...

    Authors: Raimund M. Kovacevic and Thomas Breuer
    Citation: SpringerPlus 2016 5:1336
  3. Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, (1 + u)-constacyclic codes over Z ...

    Authors: Haifeng Yu, Yu Wang and Minjia Shi
    Citation: SpringerPlus 2016 5:1325
  4. Restoring Poissonian noise images have drawn a lot of attention in recent years. There are many regularization methods to solve this problem and one of the most famous methods is the total variation model. In ...

    Authors: Hou-biao Li, Jun-yan Wang and Hong-xia Dou
    Citation: SpringerPlus 2016 5:1272
  5. This paper presents an iterative scheme for solving nonline ar equations. We establish a new rational approximation model with linear numerator and denominator which has generalizes the local linear model. We ...

    Authors: B. Saheya, Guo-qing Chen, Yun-kang Sui and Cai-ying Wu
    Citation: SpringerPlus 2016 5:1269
  6. Based on the harmonic balance method (HBM), an approximate solution is determined from the integral expression (i.e., first order differential equation) of some strongly nonlinear oscillators. Usually such an ...

    Authors: M. S. Alam, Md. Abdur Razzak, Md. Alal Hosen and Md. Riaz Parvez
    Citation: SpringerPlus 2016 5:1258
  7. The main purpose of this paper is to introduce the notion of vague h-morphism on vague graphs and regular vague graphs. The action of vague h-morphism on vague strong regular graphs are studied. Some elegant r...

    Authors: Hossein Rashmanlou, Sovan Samanta, Madhumangal Pal and R. A. Borzooei
    Citation: SpringerPlus 2016 5:1234
  8. Previous studies dealing with network theory focused mainly on the static aggregation of edges over specific time window lengths. Thus, most of the dynamic information gets lost. To assess the quality of such ...

    Authors: Kathrin Büttner, Jennifer Salau and Joachim Krieter
    Citation: SpringerPlus 2016 5:1198
  9. The main objective of the study is to compare the Newton–Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of inc...

    Authors: Kwasi A. Darkwah, Ezekiel N. N. Nortey and Anani Lotsi
    Citation: SpringerPlus 2016 5:1196

    The Erratum to this article has been published in SpringerPlus 2016 5:1315

  10. The Hamilton cycle problem is closely related to a series of famous problems and puzzles (traveling salesman problem, Icosian game) and, due to the fact that it is NP-complete, it was extensively studied with ...

    Authors: Wadee Alhalabi, Omar Kitanneh, Amira Alharbi, Zain Balfakih and Akila Sarirete
    Citation: SpringerPlus 2016 5:1192
  11. In this work, an effective numerical method is developed to solve a class of singular boundary value problems arising in various physical models by using the improved differential transform method (IDTM). The ...

    Authors: Lie-jun Xie, Cai-lian Zhou and Song Xu
    Citation: SpringerPlus 2016 5:1066
  12. A mathematical model describing the interaction of nutrient–plankton is investigated in this paper. In order to account for the time needed by the phytoplankton to mature after which they can release toxins, a...

    Authors: Mehbuba Rehim, Zhenzhen Zhang and Ahmadjan Muhammadhaji
    Citation: SpringerPlus 2016 5:1055
  13. A groupie in a graph is a vertex whose degree is not less than the average degree of its neighbors. Under some mild conditions, we show that the proportion of groupies is very close to 1/2 in multitype random ...

    Authors: Yilun Shang
    Citation: SpringerPlus 2016 5:989
  14. A new generalization of Struve function called generalized Galué type Struve function (GTSF) is defined and the integral operators involving Appell’s functions, or Horn’s function in the kernel is applied on i...

    Authors: Kottakkaran Sooppy Nisar, Dumitru Baleanu and Maysaa’ Mohamed Al Qurashi
    Citation: SpringerPlus 2016 5:910