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21 articles for “Lagrange Method”
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Research ArticleOpen accessIn the abstractFinding the Envelope and Efficient Frontier of Financial AssetsFarida Kachapova, Ilias KachapovProblem statement: One of the problems considered in financial mathematics is finding portfolios of given financial assets that minimize risk for targeted returns. The set of such portfolios is called the envelope of the assets. Traditionally this problem is solved as a calculus minimization problem involving partial derivatives and Lagrange multipliers. Approach: In this study we describe an invariant geometric … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 16 Jul 2012 · 9,279 accessesView PDFCite
Research ArticleOpen accessIn the abstractPolynomial Interpolation in the Elliptic Curve CryptosystemLiew Khang Jie, Hailiza KamarulhailiProblem statement: In this research, we incorporate the polynomial interpolation method in the discrete logarithm problem based cryptosystem which is the elliptic curve cryptosystem. Approach: In this study, the polynomial interpolation method to be focused is the Lagrange polynomial interpolation which is the simplest polynomial interpolation method. This method will be incorporated in the encryption algorithm of the elliptic curve … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,828 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton MethodZanariah Abdul Majid, Phang Pei See, Mohamed SuleimanProblem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches involving BVPs will reduced the problem to a system of first order Ordinary Differential Equations (ODEs). This approach is very well established but it obviously will enlarge the systems of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,882 accessesView PDFCite
Research ArticleOpen accessIn the abstractCombined Partial Oxidation and Carbon Dioxide Reforming Process: A Thermodynamic StudySompop JarungthammachoteProblem statement: CO2 reforming is one of the methods to utilize a greenhouse gas to produce syngas, an important feed for methanol and Fischer-Tropsch synthesis. However, CO2 reforming is strong endothermic reaction requiring large amount of supplied energy. Partial oxidation, an exothermic reaction, is combined with CO2 reforming to serve the energy requirement. Thus, the optimum ranges of O2 and … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,527 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,254 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Rigorous Mathematical Approach for Petrophysical Properties EstimationDario VibertiProblem statement: Over the last few decades, the oil industry has shown a growing interest in the new risk analysis methodologies aimed at the evaluation of the uncertainties associated with reservoir exploitation. In particular, the effort is made to take all possible sources of uncertainties into account so that not only the strengths but also the potential weaknesses of each … …American Journal of Applied Sciences, Vol. 7, Issue 11 · 8 Nov 2010 · 7,976 accessesView PDFCite
Research ArticleOpen accessIn the abstractInvestment, Taxes and the Cost of Capital: An Euler Equation Specification TestHuntley SchallerProblem statement: Previous studies (primarily employing goodness-of-fit tests) have found it difficult to provide clear and direct evidence that taxes and the interest rate have a strong influence on investment. Approach: The objective of this study was to test whether the cost of capital, which includes taxes and the interest rate, affects investment. This study used the Euler equation for … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 7,616 accessesView PDFCite
Research ArticleOpen accessIn the abstractReal-Time Optimal Control for Rotary Inverted PendulumViroch Sukontanakarn, Manukid ParnichkunProblem statement: The rotary inverted pendulum system was a highly nonlinear model, multivariable and absolutely unstable dynamic system. It was used for testing various design control techniques and in teaching modern control. The objectives of this study were to: (i) Develop a real rotary inverted pendulum which derived the mechanical model by using Euler-Lagrange and (ii) Design controller algorithm for … …American Journal of Applied Sciences, Vol. 6, Issue 6 · 30 Jun 2009 · 7,846 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Bidding Strategies for a Small Generation Company in a Day-Ahead Electricity Market with Bilateral Contracts Taken into AccountAzmi Saleh, Takao Tsuji, Tsutomu OyamaProblem Statement: Deregulation power systems have been force to change their structures, from vertically integrated to open market systems. Each generation company (Genco) is required to compete with rivals through bidding in a pool market and making a bilateral contract with a distribution company (Disco) or consumers to maximize its own profits. A unit commitment becomes responsible for each Genco … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Mar 2009 · 7,708 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Novel Approach for Testing Stability of 1-D Recursive Digital Filters Based on Lagrange MultipliersK. R. Santhi, N. Gangatharan, M. PonnavaikkoDigital filters have found their way into many products from every day consumer items such as mobile phones to advanced maritime and military communications and avionics systems. Design of digital filters faces two fundamental problems, their stability and synthesis. Recursive filters have more stability problems than nonrecursive filters. Stability of a filter can be determined by the location of the … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 6,484 accessesView PDFCite