Numerical Algorithms 0 ( 1998 ) ? { ? 1 On the Stability of the

Camparison of Numerically Stability of Two Algorithms for the Calculation of Variance

In descriptive statistics, there are two computational algorithms for determining the variance S2, of a set of observations : Algorithm 1: S2= - , Algorithm 2: S2= , where . It is interesting to discuss, which of the above formulas is numerically more trustworthy in machine numbers sets. I this paper, based on total effect of rounding error, we prove that the second Algorithm is better...

Umist Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra Departments of Mathematics Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra 1

P-stability‎, ‎TF and VSDPL technique in Obrechkoff methods for the numerical solution of the Schrodinger equation

Many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. For the efficient solution of the above mentioned problems, linear multistep methods or Runge-Kutta technique are used. For the simulation of chemical procedures the ra...

بهبود روش انتگرال‌گیری دقیق مرتبه اول برای تحلیل دینامیکی سازه‌ها با معکوس‌سازی ماتریس حالت

For solving the dynamic equilibrium equation of structures, several second-order numerical methods have so far been proposed. In these algorithms, conditional stability, period elongation, amplitude error, appearance of spurious frequencies and dependency of the algorithms to the time steps are the crucial problems. Among the numerical methods, Newmark average acceleration algorithm, regardl...

ارزیابی کارآیی TCSCدرکاهش اضافه بار خطوط و پایداری ولتاژ درهنگام وقوع خطا

Although many mathematics-based and heuristic approaches have been recently developed on optimally allocation of TCSCs for lines overloads reduction and buses voltage stability enhancement during fault conditions, the works on the TCSCs efficiency to achieve the abovementioned goals are rare. This idea that TCSCs can surely enhance the system’s security must be comprehensively investigated. In ...