パデ近似をすると次式のむだ時間L[s]の伝達関数を有理伝達関数に近似することができます。有理伝達関数にすることで取り扱いが楽になったり、各種ツールでの計算を簡単にすることができるメリットがあります。 むだ時間の伝達関数 むだ時間の伝達関数 ...

Mathematics of Computation, Vol. 84, No. 294 (JULY 2015), pp. 1835-1860 (26 pages) The Padé approximation has a long and rich history of theory and application and is known to produce excellent local ...

Abstract: We show that Pade approximation can be effectively used for approximation of performance functions in discrete-event systems. The method is (1) obtaining the MacLaurin coefficients of the ...

Abstract: The advantages of bar centric interpolation formulations in computation are small number of floating points operations and good numerical stability. Adding a new data pair, the bar centric ...

ABSTRACT: Matrix Padé approximation is a widely used method for computing matrix functions. In this paper, we apply matrix Padé-type approximation instead of typical Padé approximation to computing ...

Padé approximation has been proposed for calculating the scattering length and the effective range as functions of the potential strength. The appropriate Taylor series coefficients which constitute ...

The problem of generating approximations to functions, specified by asymptotic expansions about one or more points, is considered. The development is limited to expansions of the power series type or ...

The luminosity distance in the standard cosmology as given by ΛCDM and, consequently, the distance modulus for supernovae can be defined by the Padé approximant. A ...

ABSTRACT: The problem of solving the linear diffusion equation by a method related to the Restrictive Pade Approximation (RPA) is considered. The advantage is that it ...

Research Computing Center, University of North Carolina, Chapel Hill, North Carolina 27599-3420, United States Department of Chemistry, University of North Carolina, Chapel Hill, North Carolina ...