The second-degree Taylor polynomial for a ratio is used to derive approximations to the means, variances, and covariances of proportions.doi:10.1007/BF01030084Antonio PossoloKluwer Academic Publishers-Plenum PublishersJournal of the International Association for Mathematical Geology...
The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial differential equations with three variables and variable coefficients. For this purpose, Taylor matrix method for the approximate solution of second order linear partial differential equ...
Taylor expansion method for the solution of second order PDEs, is based on taking truncated Taylor polynomial about any point of the coefficients functions has been investigated by Kesan [3]. In this paper, we develop an algorithm for the solution of the PDEs of the form f (x, y) uxx ...
So the method is named the second-order Taylor Expansion Boundary Element Method (the 2nd order TEBEM), which can accurately solve the induced velocity on the non-smooth boundary, compared with the low-order BEM (Constant panel method), and all of the singular integrals in 2nd order TEBEM ...
For example, by fitting the pulse (peak or dip) position as function of time with a third-order polynomial, the sound velocity can be straightforwardly determined by taking the time derivative of the fitting curve. The results are shown in Fig. 10a by solid lines. Alternatively, the time ...
This study describes a two-step second order inverse polynomial method for the numerical solution of ordinary differential equations with singularities. The scheme is based on rational functions approximation technique and its development and analysis is based on power series expansions (Taylor and ...
Engineering Analysis with Boundary Elements 58 (2015) 140–150 Contents lists available at ScienceDirect Engineering Analysis with Boundary Elements journal homepage: /locate/enganabound Second-order Taylor Expansion Boundary Element Method for the second-order wave diffraction problem Wenyang Duan, Jikang...
We use Taylor-Hood elements for Vh and Mh (second-order polynomial P2 element for Vh, linear polynomial P1 element for Mh) that satisfy the inf-sup condition (3.18) [39]. We also use the first family second-order H(curl)-conforming Nédéléc edge N2 element [40], [41] for Ch, ...
where P_1(K^n) is the space of linear polynomial functions on K^n\in \mathcal {T}_h^n. Details about the spaces \Psi _h^n and \mathcal {T}_h^n are discussed in Sect. 3.1, the rest of this section as well as Sect. 2.3 address the first- and second-order schemes assuming...
The unstructured uncertainty description is rewritten as the open-loop sensitivity analysis for small uncertainties based on the first-order approximation of the Taylor series. A receptance-based Internal Model Control (IMC) design approach is proposed to increase time-varying delay bound, preserving an...