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14 results for “iterative numerical approach”
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Research ArticleOpen accessIn the keywordsUsing Regression to Establish Weights for a Set of Composite Equations through a Numerical Analysis Approach: A Case of Admission Criteria to a CollegeRamzi Naim Nasser, Viviane NaimyProblem statement: Mathematically little is known of college admission criteria as in school grade point average, admission test scores or rank in class and weighting of the criteria into a composite equation. Approach: This study presented a method to obtain weights on “composite admission” equation. The method uses an iterative procedure to build a prediction equation for an optimal weighted … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,179 accessesView PDFCite
Research ArticleOpen accessIn the abstractDynamic Control Allocation through Kalman FilteringGianfranco Morani, Francesco Nebula, Federico Corraro, Marco AriolaControl Allocation (CA) in aviation is the problem of distributing the commands among the available actuation means, in order to ensure the achievements of the moments requested by the flight control laws. CA plays a key role in fault-tolerant control systems since it gives robust performances and stability also in presence of faults to one or more aircraft actuators. In … …American Journal of Engineering and Applied Sciences, Vol. 12, Issue 1 · 12 Feb 2019 · 8,837 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Development of Parameter Estimation on Hazard Rate of Trivariate Weibull DistributionIrfan Wahyudi, Purhadi, Irhamah, SutiknoIn this study, the interrelation concepts of trivariate distribution function, trivariate survival function, trivariate probability density function and trivariate hazard rate function of trivariate Weibull distribution are presented. The goal of this contribution is to estimate the trivariate Weibull hazard rate parameters. To reach this goal, we will use an analitical approach in estimating called the Maximum Likelihood Estimation (MLE) … …Current Research in Biostatistics, Vol. 2, Issue 2 · 11 Aug 2012 · 8,923 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution for 2D European Option Pricing Using Quarter-Sweep Modified Gauss-Seidel MethodKoh Wei Sin, Jumat Sulaiman, Rasid MailProblem statement: This study presents the numerical solution of two-dimensional European option pricing problem based on Quarter-Sweep Modified Gauss-Seidel (QSMGS) iterative method. In fact, the pricing of European option with two-underlying assets can be governed by two-dimensional Black-Scholes Partial Differential Equation (PDE). Approach: The PDE needs to be discretized by using full-, half- and quarter-sweep second-order Crank-Nicolson schemes to generate … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 7,773 accessesView PDFCite
Research ArticleOpen accessIn the abstractApproximation of Iteration Number for Gauss-Seidel Using Redlich-Kister PolynomialM. K. Hasan, J. Sulaiman, S. Ahmad et al.Problem statement: Development of mathematical models based on set of observed data plays a crucial role to describe and predict any phenomena in science, engineering and economics. Therefore, the main purpose of this study was to compare the efficiency of Arithmetic Mean (AM), Geometric Mean (GM) and Explicit Group (EG) iterative methods to solve system of linear equations via estimation … …American Journal of Applied Sciences, Vol. 7, Issue 7 · 31 Jul 2010 · 8,138 accessesView PDFCite
Research ArticleOpen accessIn the abstractQuarter-Sweep Projected Modified Gauss-Seidel Algorithm Applied to Linear Complementarity ProblemW. S. Koh, J. Sulaiman, R. MailProblem statement: Modified Gauss-Seidel (MGS) was developed in order to improve the convergence rate of classical iterative method in solving linear system. In solving linear system iteratively, it takes longer time when many computational points involved. It is known that by applying quarter-sweep iteration scheme, it can decrease the computational operations without altering the accuracy. In this study, we investigated … …American Journal of Applied Sciences, Vol. 7, Issue 6 · 30 Jun 2010 · 7,399 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual MethodElayaraja Aruchunan, Jumat SulaimanProblem statement: This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena contain mathematical formulations such integro-differential equations which are arise in fluid dynamics, biological models and chemical kinetics. In fact, several formulations and numerical solutions of the linear Fredholm integro-differential equation of second … …American Journal of Applied Sciences, Vol. 7, Issue 6 · 30 Jun 2010 · 8,198 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment of a Fully Coupled Approach for Evaluation of Wellbore Stability in Hydrocarbon ReservoirsVera RoccaProblem statement: When a well is drilled in a hydrocarbon reservoir, the original thermodynamic conditions are altered, the natural stresses are redistributed and a stress concentration occurs around the hole. The alteration of the original equilibrium can lead to wellbore damage, sometimes to its complete collapse. Loss of time associated with stability problems is estimated to account for 12-15% of … …American Journal of Environmental Sciences, Vol. 5, Issue 6 · 31 Dec 2009 · 7,559 accessesView PDFCite
Research ArticleOpen accessIn the abstractParallel Iterative Algorithms with Accelerate Convergence for Solving Implicit Difference EquationsQing-Fu Liu, Wei-Jun Zhong, Mancho ManevThis study focuses on the solution of implicit difference equations, which are very difficult to compute in parallel for the diffusion equation. For improving the convergence rates and the properties of gradual-approach convergence of Segment-Classic-Implicit-Iterative (SCII) and Segment-Crank-Nicolson-Iterative (SCNI) algorithms realizing efficient iterative computation in parallel by segmenting grid domains, SCII and SCNI algorithms with accelerated convergence are studied and … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 6,799 accessesView PDFCite