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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. This article proposes the application of Laplace Transform-Homotopy Perturbation Method and some of its modifications in order to find analytical approximate solutions for the linear and nonlinear differentia...

    Authors: U. Filobello-Nino, H. Vazquez-Leal, M. M. Rashidi, H. M. Sedighi, A. Perez-Sesma, M. Sandoval-Hernandez, A. Sarmiento-Reyes, A. D. Contreras-Hernandez, D. Pereyra-Diaz, C. Hoyos-Reyes, V. M. Jimenez-Fernandez, J. Huerta-Chua, F. Castro-Gonzalez and J. R. Laguna-Camacho
    Citation: SpringerPlus 2016 5:276
  2. Based on an invariance-type property of the Lee-compositions of a linear Lee code, additional equality constraints can be introduced to the linear programming problem of linear Lee codes. In this paper, we formul...

    Authors: Helena Astola and Ioan Tabus
    Citation: SpringerPlus 2016 5:246
  3. The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we introduce a new invariant which is named as F-coindex. Here, we study basic mathematical properties a...

    Authors: Nilanjan De, Sk. Md. Abu Nayeem and Anita Pal
    Citation: SpringerPlus 2016 5:221
  4. In the present paper, the problem of low-velocity impact of an elastic sphere against a viscoelastic Timoshenko-type beam is studied considering the extension of its middle surface. The viscoelastic features o...

    Authors: Yury A. Rossikhin, Marina V. Shitikova and Maria Guadalupe Estrada Meza
    Citation: SpringerPlus 2016 5:206
  5. Sparse approximation has shown to be a significant tool in improving image restoration quality, assuming that the targeted images can be approximately sparse under some transform operators. However, it is impo...

    Authors: Weifeng Zhou, Shuguo Yang, Caiming Zhang and Shujun Fu
    Citation: SpringerPlus 2016 5:122
  6. Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional fra...

    Authors: Qianping Guo, Jinsong Leng and Houbiao Li
    Citation: SpringerPlus 2016 5:121
  7. A critical review of three paradoxical phenomena, occurring in the dynamic stability of finite-dimensional autonomous mechanical systems, is carried out. In particular, the well-known destabilization paradoxes...

    Authors: Angelo Luongo, Manuel Ferretti and Francesco D’Annibale
    Citation: SpringerPlus 2016 5:60
  8. Vulnerability assessments have become necessary to increase the understanding of climate-sensitive systems and inform resource allocation in developing countries. Challenges arise when poor economic and social...

    Authors: Mario Andres Fernandez, Santiago J. Bucaram and Willington Renteria
    Citation: SpringerPlus 2015 4:738
  9. The problem of base changes for the classical symmetric functions has been solved a long time ago and has been incorporated into most computer software packages for symmetric functions. In this paper, we devel...

    Authors: Mircea Merca
    Citation: SpringerPlus 2015 4:724
  10. In the present manuscript we propose a lattice free multiscale model for avascular tumor growth that takes into account the biochemical environment, mitosis, necrosis, cellular signaling and cellular mechanics...

    Authors: Pantelis Ampatzoglou, George Dassios, Maria Hadjinicolaou, Helen P. Kourea and Michael N. Vrahatis
    Citation: SpringerPlus 2015 4:660
  11. In this work, the q-Gradient (q-G) method, a q-version of the Steepest Descent method, is presented. The main idea behind the q-G method is the use of the negative of the q-gradient vector of the objective functi...

    Authors: Aline C. Soterroni, Roberto L. Galski, Marluce C. Scarabello and Fernando M. Ramos
    Citation: SpringerPlus 2015 4:647
  12. The increasing frequency of destructive wildfires, with a consequent loss of life and property, has led to fire and land management agencies initiating extensive fuel management programs. This involves long-te...

    Authors: Ramya Rachmawati, Melih Ozlen, Karin J. Reinke and John W. Hearne
    Citation: SpringerPlus 2015 4:630
  13. In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional ...

    Authors: Kamruzzaman Khan, M Ali Akbar and S M Rayhanul Islam
    Citation: SpringerPlus 2014 3:724
  14. In this paper, we have described two dreadfully important methods to solve nonlinear partial differential equations which are known as exp-function and the exp(−ϕ(ξ)) -expansion method. Recently, there are severa...

    Authors: Harun-Or Roshid, Md Rashed Kabir, Rajandra Chadra Bhowmik and Bimal Kumar Datta
    Citation: SpringerPlus 2014 3:692
  15. This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary c...

    Authors: Uriel Filobello-Nino, Hector Vazquez-Leal, Brahim Benhammouda, Luis Hernandez-Martinez, Claudio Hoyos-Reyes, Jose Antonio Agustin Perez-Sesma, Victor Manuel Jimenez-Fernandez, Domitilo Pereyra-Diaz, Antonio Marin-Hernandez, Alejandro Diaz-Sanchez, Jesus Huerta-Chua and Juan Cervantes-Perez
    Citation: SpringerPlus 2014 3:594
  16. This work presents a direct procedure to apply Padé method to find approximate solutions for nonlinear differential equations. Moreover, we present some cases study showing the strength of the method to genera...

    Authors: Hector Vazquez-Leal, Brahim Benhammouda, Uriel Filobello-Nino, Arturo Sarmiento-Reyes, Victor Manuel Jimenez-Fernandez, Jose Luis Garcia-Gervacio, Jesus Huerta-Chua, Luis Javier Morales-Mendoza and Mario Gonzalez-Lee
    Citation: SpringerPlus 2014 3:563
  17. A Seventh-Order Linear Multistep Method (SOLMM) is developed and implemented in both predictor-corrector mode and block mode. The two approaches are compared by measuring their total number of function evaluat...

    Authors: Samuel N Jator and Leong Lee
    Citation: SpringerPlus 2014 3:447