Journal of Computational Methods in Sciences and Engineering

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  • ISSN
    1472-7978

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we outline the mathematical and physical foundation of the 1991 hypothesis by R. M. Santilli of IsoRedShift IRS, namely, a frequency shift of light toward the red characterized by the loss of energy by light to a cold medium without any relative motion between the source, the medium and the observer; we outline the corresponding foundations of Santilli's IsoBlueShift IBS, namely, a frequency shift of light toward the blue characterized by the acquisition of energy by light from a hot medium without relative motion; we show the compatibility of Santilli's IRS and IBS with the axioms of special relativity under their proper mathematical formulations; we review the original experimental confirmations of IRS by Santilli in 2010 for a blue laser light in a tube containing air at pressure; we review the experimental confirmations of both IRS and IBS by G. West and G. Amato in 2011; we review the confirmatory measurements by Santilli, West and Amato done in 2012 on the West coast of Florida on the IRS origin of the redness of the Sun in the transition from the Zenith to the horizon; we present, for the first time, additional confirmatory measurements of IRS of Sunlight from the Zenith to Sunset done by the authors at the island of Kos, Greece, on September 20, 2012; we present, also for the first time, additional confirmatory measurements of IRS of Sunlight from Sunrise to the Zenith done in Cocoa Beach, East Coast of Florida, on October 20, 2012; we review the compatibility of Santilli's 1991 IRS hypothesis with Zwicky's 1929 hypothesis of Tired Light and identify their difference in the process originating the redshift; we recall the fit of cosmological redshift done by P. LaViolette in 1986 with Zwicky's Tired Light hypothesis; we confirm Santilli's 2010 argument according to which the IRS origin of the redness of the Sun at the horizon without relative motion is visual evidence on the expected absence of the expansion of the universe and of related conjectures; and we present the dismissal of various objections against Santilli's IRS and its interpretation of the cosmological redshift. In essence, we agree with Santilli that cosmologists should follow Galileo's teaching by establishing cosmological models via experiments on Earth prior to their application to the universe.
    Journal of Computational Methods in Sciences and Engineering 07/2013; 13(3,4):321-357.
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    ABSTRACT: In this paper we present a new fast approximate inverse FFT for short-time signal applications. This approach is derived from the sub-band FFT SB-FFT and it is called Sub-Segment IFFT SS-IFFT. SS-IFFT uses the idea of decomposing the input signal into two segments early and late according to their order of occurence in time. An approximation can be done by implementing the IFFT of one of the two-segments according to a pre-known information about the time-domain characteristics of the signal. Such an approximation leads to fast computation at the cost of less accuracy. Both the reduction in complexity and the approximation errors of the new algorithm are investigated in this paper. The SS-IFFT has an adaptive capability like the forward SB-FFT. The idea of SS-IFFT is extended also to the two dimensional case. The algorithm is also tested by using different filters other than the Hadamard filters used in the SB-FFT. Different applications of the new technique are included in speech analysis, echo detection, FIR filter design, and ECG compression.
    Journal of Computational Methods in Sciences and Engineering 07/2013; 13(3,4):361-375.
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    ABSTRACT: A set of transformational matrices TM is introduced which convert the weights of a mixed state into the diagonal elements of reduced density matrix RDM. The formulae for the products of TM are deduced; the singular values of TM are calculated and the corresponding spectral expansion is built. The result of ambiguous reverse transformation of RDM diagonal elements is found. The conditions of nonnegativity of the reversed vector of the same dimension as the weight vector are established and shown to be coinciding in the case of the second RDM with the known necessary P-, G-, and Q-conditions of diagonal N-representability. The proper generalization to RDM of any order is given. It is demonstrated that the number of independent sufficient N-representability conditions coincides with the number of equations defining the diagonal RDM elements.
    Journal of Computational Methods in Sciences and Engineering 07/2013; 13(3,4):395-416.
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    ABSTRACT: In this study, the sixteenth-order iterative scheme of Li et al. [X. Li, C. Mu, J. Ma, C. Wang, Sixteenth-order method for nonlinear equations, Appl. Math. Com. 215 2010, 3754--3758] is considered. We increase its efficiency index from 1.587 to 1.644, by reducing the number of evaluations from six to five per iteration. This goal is achieved by providing an approximation for the first-order derivative of the function in the fourth step. Error analysis will also be studied. In the sequel, some numerical instances are given to show the accuracy of the new obtained twelfth-order technique. Therein, another objective of this paper is achieved by proposing a hybrid method for finding all the real solutions of nonlinear equations.
    Journal of Computational Methods in Sciences and Engineering 07/2013; 13(3,4):309-320.
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    ABSTRACT: Models for prediction of Blood Brain Barrier permeability were developed in the present study. A dataset of 63 structurally diverse compounds was selected for the present investigation. The values of 21 Constitutional descriptors, Topological descriptor and Information indices for each compound of the data set were computed using freely available e-Dragon software. Data generated was analyzed and suitable models were developed using decision tree, random forest and moving average analysis. The accuracy of the models was assessed by calculating overall accuracy of prediction, sensitivity, specificity and Mathew's correlation coefficient. Random forest correctly classified the analogues into permeable and impermeable with an accuracy of 92.06%. A decision tree was also employed for determining the importance of various molecular descriptors. The decision tree learned the information from the input data with an accuracy of 96.82% and correctly predicted the cross-validated 10 fold data with accuracy up to 84.12%. Accuracy of prediction of proposed moving average analysis models was found to be 96.22% and 90.09%.
    Journal of Computational Methods in Sciences and Engineering 07/2013; 13(3,4):379-392.
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    ABSTRACT: To obtain the maximum drag profiles for the surface of an object located in unsteady flow, a shape optimization algorithm based on an adjoint method is presented. The adjoint method is based on the Lagrange multiplier method. Using a first variation of the Lagrange function, stationary conditions can be derived. These conditions consist of state equations, adjoint equations, and sensitivity equations with boundary conditions. The sensitivity equations are derived based on the shape derivative and the material derivative. To achieve the optimal shape based on these stationary conditions, a smoothing technique, a constant volume technique, a node relocation technique, the SUPG/PSPG stabilized method, and the GPBi-CG solver are implemented in the shape optimization algorithm. Using this algorithm, under Stokes flow, we can obtain the Pironneau's result found in the literature where the optimal shape is of the rugby ball type. Under unsteady flow i.e. for a Reynolds number of 1000, this algorithm can also construct an optimal shape. Compared an initial cylindrical shape, the drag of the optimal shape under constant volume can be increased by about 218% in the case of a Reynolds number of 1000.
    Journal of Computational Methods in Sciences and Engineering 01/2013; 13(5,6):461-497.
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    ABSTRACT: Three-party key exchange protocol is one of the most essential cryptographic technique in the secure communication areas. In this protocol, two clients, each shares a human-memorable password, working with a trusted server, can agree a secure session key. Recently, Lu and Cao proposed a new simple three-party key exchange S-3PAKE protocol and claimed that it is not only very simple and efficient, but also can survive against various known attacks. However, Nam et al. pointed out that S-3PAKE is vulnerable to both off-line password guessing attack and undetectable on-line password guessing attack. Based on their finding, Nam et al. proposed an improved method to resolve this weakness. They further claimed that so far no off-line password guessing attack has been successful against their proposed protocol. In this paper, we demonstrate that Nam et al.'s improved protocol, unfortunately, is still vulnerable to an undetectable on-line password guessing attack. We therefore propose a simple and powerful method to address this issue. Which results in an improved three-party key exchange protocol that can protect against an undetectable on-line password guessing attack.
    Journal of Computational Methods in Sciences and Engineering 01/2013; 13(5,6):455-460.
  • Journal of Computational Methods in Sciences and Engineering 01/2013; 13:59-109.
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    ABSTRACT: Consider a planar annulus. A result of Ramm and Shivakumar states that as the inner circle moves toward the outer circle, the principal Dirichlet eigenvalue of the Laplacian decreases. Numerical experiments in that paper clearly verify this result. The purpose of this short note is to fill in a small gap in that paper: the numerical calculation of the principal eigenvalue when the two circles touch. This is a non-trivial numerical problem because the domain has a cusp which is a strong singularity. Adaptive finite element methods have difficulty converging in the presence of such singularities. Our method is to perform a transformation taking the domain to a rectangle, where it is relatively straightforward to compute the principal eigenvalue. We also calculate the minimal non-zero eigenvalue of the Neumann problem. Numerically, the Neumann eigenvalue has no such monotonicity property.
    Journal of Computational Methods in Sciences and Engineering 01/2013; 13(5,6):433-437.
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    ABSTRACT: In this publication, we study the supersonic flow around a pointed airfoil in free air. The work is to develop a numerical calculation program using the relations of oblique shock waves; and Prandtl Meyer expansion of constant specific heats around a wedge to determine the characteristics of pointed airfoil in supersonic steady. This regime is characterized by the emergence of a shock wave, usually weak, which will be attached to the leading edge of the airfoil if it has a pointed shape. The airfoil is discretized into flat plate's juxtaposed one to another. It should be noted that the flow is two dimensional. In the place where there is concavity of the wall there will be shock waves and in an other place where there is convexity of the wall there will be an expansion of the flow. The latter type is of Prandtl Meyer. The flow is characterized by increases of entropy seen that there appears a shock wave. The drag is not zero. It is equal to the drag of the shock wave even though the flow is inviscid. We neglect the other components of the drag. Most authors prefer the use of the thin airfoil theory to evaluate the flow around an airfoil. A Comparison is made with this theory for thin thickness to determine a limit of applications of this theory. Applications are made for moderate thickness. The substance chosen is air.
    Journal of Computational Methods in Sciences and Engineering 07/2012; 12(3):213-233.
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    ABSTRACT: This paper studies the law of the Lie algebras \frak{h}_n associated with a particular type of Lie groups: the Lie groups H_n formed by all the n × n upper-triangular matrices without zeros in their main diagonal. Indeed, these laws are obtained by means of a computational algorithm which we have constructed and particularly implemented by using the symbolic computation package MAPLE. Besides, the complexity of this algorithm is studied by considering the number of computations carried out with this implementation.
    Journal of Computational Methods in Sciences and Engineering 07/2012; 12(3):189-198.
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this publication, we study the supersonic flow around a pointed airfoil in free air. The work is to develop a numerical calculation program using the relations of oblique shock waves; and Prandtl Meyer expansion of constant specific heats around a wedge to determine the characteristics of pointed airfoil in supersonic steady. This regime is characterized by the emergence of a shock wave, usually weak, which will be attached to the leading edge of the airfoil if it has a pointed shape. The airfoil is discretized into flat plate's juxtaposed one to another. It should be noted that the flow is two dimensional. In the place where there is concavity of the wall there will be shock waves and in an other place where there is convexity of the wall there will be an expansion of the flow. The latter type is of Prandtl Meyer. The flow is characterized by increases of entropy seen that there appears a shock wave. The drag is not zero. It is equal to the drag of the shock wave even though the flow is inviscid. We neglect the other components of the drag. Most authors prefer the use of the thin airfoil theory to evaluate the flow around an airfoil. A Comparison is made with this theory for thin thickness to determine a limit of applications of this theory. Applications are made for moderate thickness. The substance chosen is air.
    Journal of Computational Methods in Sciences and Engineering 04/2012; 12(3):213-233.