Research ArticleOpen accessIn the abstractHigher-Order Newton-Cotes FormulasPedro Americo Almeida Magalhaes Junior, Cristina Almeida MagalhaesProblem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 9,750 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Method to Describe Image Theory for an Imperfect ConductorScott L. Meredith, Susan K. Earles, Niescja E. TurnerProblem statement: Modify the equations associated with image theory in order to account for perfect and imperfect conductors. Approach: A novel approach for describing the application of image theory for an imperfect conductive surface was presented. The method presented here purposely downplays the physics of how image theory was employed to account for a charge which is in the presence … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,721 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Alternative Scaling Factor In Broyden's Class Methods for Unconstrained OptimizationMuhammad Fauzi bin Embong, Mustafa bin Mamat, Mohd Rivaie, Ismail bin MohdProblem statement: In order to calculate step size, a suitable line search method can be employed. As the step size usually not exact, the error is unavoidable, thus radically affect quasi-Newton method by as little as 0.1 percent of the step size error. Approach: A suitable scaling factor has to be introduced to overcome this inferiority. Self-scaling Variable Metric algorithms … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 2 Jun 2010 · 7,692 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralization of (0, 4) Lacunary Interpolation by Quantic SplineJwamer Karwan Hama Faraj, Ridha G. KaremProblem statement: Spline functions are the best tool of polynomials used as the basic means of approximation theory in nearly all areas of numerical analysis. Also in the problem of interpolation by g-spline construction of spline, existences, uniqueness and error bounds needed. Approach: In this study, we generalized (0,4) lacunary interpolation by quanta spline function. Results: The results obtained, the … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,310 accessesView PDFCite
Research ArticleOpen accessIn the abstractStructural Modeling of Fundamental Frequency Contour for Thai Expressive SpeechSuphattharachai ChomphanProblem statement: Appropriate modeling of fundamental Frequency (F0) contour for speech is a key factor to preserve the quality of speech prosody. One successful approach has been conducted for tonal language of Mandarin Chinese. It is based on the assumption that the behavioral characteristics of vocal-fold elongation in vibration could be approximated by those of a simple forced vibrating system. … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 7,050 accessesView PDFCite
Research ArticleOpen accessIn the abstractDesign and Implementation of Parallel Subunit for Synthesis Mathematical ModelsIssa M. ShehabatProblem statement: Mathematical modeling of different natural and technical objects and processes is one of the most important directions that needs high performance computing with huge memory. To reduce the computational time and expenses we need to carry out the calculations on specialized subunits. Approach: We described a self-organizing approximation method and introduced a new methodology of structural synthesis of … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 6,920 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Dual-Slope Integration Based Analog-to-Digital ConvertorHasan KradProblem statement: With the advent of the advanced technology and the need for more advanced equipment, the current progress and development of electronic instruments stimulate more interest and efforts for more innovative ideas and better designs. Many real world physical values, such as sounds, temperature, pressure and humidity, can be measured as analog or continuous signals. However, to process these … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,796 accessesView PDFCite
Research ArticleOpen accessIn the abstractVibration Equations of Thick Rectangular Plates Using Mindlin Plate TheoryS. A. Sadrnejad, A. Saedi Daryan, M. ZiaeiProblem statement: Rectangular steel plates are widely used in various steel structures and steel industries. For a proper design of steel plate structures and efficient use of material, the behavior, strength, buckling and post-buckling characteristics of plates should be accurately determined. Approach: Considering the significance of this matter, lateral vibration of thick rectangular plates was studied on the basis of … …Journal of Computer Science, Vol. 5, Issue 11 · 30 Nov 2009 · 7,881 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Constitutive Model for Multi-Line Simulation of Granular Material Behavior Using Multi-Plane PatternS. A. Sadrnejad, A. Saedi Daryan, M. ZiaeiProblem statement: Improper understanding of material behavior prevents the efficient and correct usage of available materials and consequently, increases the construction and maintenance costs and even unsuitable construction. Considering the necessity of exact investigation about material behavior, several researches have been carried out in this field but the majority of these researches did not propose a general method for prediction … …Journal of Computer Science, Vol. 5, Issue 11 · 30 Nov 2009 · 6,661 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Block Method for Special Third Order Ordinary Differential EquationsB. T. Olabode, Y. YusuphA linear multistep method for the direct solution of initial value problems of ordinary differential equations was presented in this article. Collocation approximation method was adopted in the derivation of the scheme and then the scheme was applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. The new block method possessed the desirable feature … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,707 accessesView PDFCite