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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

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Math. Comput. Appl., Volume 13, Issue 2 (August 2008) , Pages 71-136

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Open AccessArticle A Data Driven Parameter Estimation for the Three-Parameter Weibull Population from Censored Samples
Math. Comput. Appl. 2008, 13(2), 129-136; https://doi.org/10.3390/mca13020129
Published: 1 August 2008
Cited by 1 | Viewed by 396 | PDF Full-text (168 KB)
Abstract
A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance
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A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance from a non-parametric density estimate and the parametric estimate at the order statistics. The maximum likelihood estimators are found and a comparison is made with the new estimator. A Monte Carlo experiment of size 1000 is conducted to test the performance of the new parameter estimation technique. The mean integrated square error is taken as a measure of the closeness of the estimated density and the true density.
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Open AccessArticle A Root-Finding Algorithm with Fifth Order Derivatives
Math. Comput. Appl. 2008, 13(2), 123-128; https://doi.org/10.3390/mca13020123
Published: 1 August 2008
Cited by 4 | Viewed by 428 | PDF Full-text (131 KB)
Abstract
Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called Quintuple-Correction-Term algorithm. The new algorithm is contrasted with the previous Quadruple-Correction-Term and Triple-Correction-Term algorithms in the literature. It is found that adding a fifth correction
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Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called Quintuple-Correction-Term algorithm. The new algorithm is contrasted with the previous Quadruple-Correction-Term and Triple-Correction-Term algorithms in the literature. It is found that adding a fifth correction term in the algorithm does not improve the performance.
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Open AccessArticle Differential Transform Technique for Solving Fifth-Order Boundary Value Problems
Math. Comput. Appl. 2008, 13(2), 113-121; https://doi.org/10.3390/mca13020113
Published: 1 August 2008
Viewed by 403 | PDF Full-text (151 KB)
Abstract
In this paper we apply the differential transform method for solving fifthorder boundary value problems. The analytical and numerical results of the equations have been obtained in terms of convergent series with easily computable components. Three examples are given to illustrate the efficiency
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In this paper we apply the differential transform method for solving fifthorder boundary value problems. The analytical and numerical results of the equations have been obtained in terms of convergent series with easily computable components. Three examples are given to illustrate the efficiency and implementation of the present method. Comparisons are made to confirm the reliability of the method. Differential transform technique may be considered as alternative and efficient for finding the approximate solutions of the boundary values problems.
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Open AccessArticle Comparison of IBM-2 Calculations with X(5) Critical Point Symmetry for Low-Lying States in 144-154Nd
Math. Comput. Appl. 2008, 13(2), 101-112; https://doi.org/10.3390/mca13020101
Published: 1 August 2008
Viewed by 434 | PDF Full-text (236 KB)
Abstract
The X(5) would take place when moving continously from the pure U(5) symmetry to the SU(3) symmetry and it implies a definite relations among the level energies and among the E2 transition strengths. It was recently shown that a signature of phase transition
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The X(5) would take place when moving continously from the pure U(5) symmetry to the SU(3) symmetry and it implies a definite relations among the level energies and among the E2 transition strengths. It was recently shown that a signature of phase transition is observed in the chain of Sm, Mo and Nd isotopes, where 152Sm,104Mo and 150Nd display the predicted features of the X(5) symmetry and mark therefore the critical point. However, more detailed studies and experiments are needed to get ideas about this signature. Without entering into detail we have firstly compared the results obtained in our previous study [15] of 144-154Nd with that of the limits in X(5) symmetry and then given a clear descripton about the validity of the Hamiltonian parameters used in the study. At the end, we have concluded that some of Nd isotopes display X(5) symmetry features.
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Open AccessArticle Dynamical Control of Accuracy Using the Stochastic Arithmetic to Estimate Double and Improper Integrals
Math. Comput. Appl. 2008, 13(2), 91-100; https://doi.org/10.3390/mca13020091
Published: 1 August 2008
Viewed by 406 | PDF Full-text (167 KB)
Abstract
The CESTAC (Control et Estimation STochastique des Arrondis de Calculs) method is based on a probabilistic approach of the round-off error propagation which replaces the floating-point arithmetic by the stochastic arithmetic. This is an efficient method to estimate the accuracy of the results.
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The CESTAC (Control et Estimation STochastique des Arrondis de Calculs) method is based on a probabilistic approach of the round-off error propagation which replaces the floating-point arithmetic by the stochastic arithmetic. This is an efficient method to estimate the accuracy of the results. In this paper, we present the reliable schemes using the CESTAC method to estimate the definite double integral I = \({\int_a^b}{\int_c^d}\)f(x,y)dydx and the improper integral I = \(\int_a^\infty\)f(x)dx , where a, b, c, dR, by applying the trapezoidal or Simpson's rule. For each kind of integrals, we prove a theorem to show the accuracy of the results. According to these theorems, one can find an optimal value number of the points which we can find the best approximation of I from the computer point of view. Also, we observe that by using the stochastic arithmetic, we are able to validate the results.
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Open AccessArticle Generalized Statistical Mechanics for Nucleus
Math. Comput. Appl. 2008, 13(2), 81-90; https://doi.org/10.3390/mca13020081
Published: 1 August 2008
Viewed by 399 | PDF Full-text (191 KB)
Abstract
In this study, we derived the grand partition function and some thermodynamical quantities of the nucleus in the high temperature limit by adopting the ideal Fermi gas partition function of generalized Tsallis thermostatistics. The behaviour of number of neutron and internal energy are
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In this study, we derived the grand partition function and some thermodynamical quantities of the nucleus in the high temperature limit by adopting the ideal Fermi gas partition function of generalized Tsallis thermostatistics. The behaviour of number of neutron and internal energy are depicted as a function of temperature. Sensitivity of q entropy index to the number neutron are also analyzed.
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Open AccessArticle Long Term Energy Consumption Forecasting Using Genetic Programming
Math. Comput. Appl. 2008, 13(2), 71-80; https://doi.org/10.3390/mca13020071
Published: 1 August 2008
Cited by 6 | Viewed by 610 | PDF Full-text (163 KB)
Abstract
Managing electrical energy supply is a complex task. The most important part of electric utility resource planning is forecasting of the future load demand in the regional or national service area. This is usually achieved by constructing models on relative information, such as
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Managing electrical energy supply is a complex task. The most important part of electric utility resource planning is forecasting of the future load demand in the regional or national service area. This is usually achieved by constructing models on relative information, such as climate and previous load demand data. In this paper, a genetic programming approach is proposed to forecast long term electrical power consumption in the area covered by a utility situated in the southeast of Turkey. The empirical results demonstrate successful load forecast with a low error rate.
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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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