The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This paper presents three accurate methods for finding simple roots of polynomials in floating point arithmetic. We present them by using the Compensated Horner algorithm to accurately compute the residual which can yield a full precision when the problem is ill-conditioned enough. Some numerical experiments are conducted to justify the proposed approaches.
We present a compensated algorithm to evaluate the first derivative of B'ezier tensor product surface in floating arithmetic. The algorithm based on error-free transformation is fast in terms of measured computing time, and the computed results are as accurate as the classic de Casteljau tensor product algorithm in twice the working precision. We also propose the relative forward error bound of this...
For the sake of fulfilling a more complex and more powerful service function, a method of web service composition (WSC-WPG), which is based on weighted planning graph is proposed. The method using AI Graph-plan consists of two phases. The first one is to construct the planning graph, which can find a service composition in a polynomial time in distributed and heterogeneous web services. The second...
This paper presents an accurate compensated algorithm to evaluate the derivative of a polynomial with floating point coefficients. The algorithm is based on Horner method, utilizes error-free transformation technique to note rounding errors and compensates the straightforward evaluation in the end. Theoretical analysis and numerical experiments illustrate that our algorithm can provide last-bit accuracy.
Analytical solutions for functionally graded beams under arbitrary loading are presented in this paper. The material coefficients vary exponentially along the thickness of the beams. The arbitrary loading is expanded in terms of sinusoidal series. For plane stress problems, the stress function and electric displacement function are assumed to consist of two parts, respectively. One is a product of...
Two new representations of higher-order transition boundary conditions are presented for uniaxial homogeneous-bianisotropic layers, which are expressed in the vectorial and scalar form, respectively. The differential operators on the tangential field vectors and normal field components are cast into the first- and second-order polynomials in normal derivatives, respectively
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.