In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satised. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear Volterra-Fredholm integro...

A Taylor series approximation to multivariate integrals taken with respect to a multivariate probability distribution is proposed and applied to the computation of multivariate normal probabilities and conditional expectations. The approximation does not require that the multivariate distribution have a structured covariance matrix and, in its simplest form, can be written as the product of uni...

An Enhanced Two-Step Least Squared (LS) approach is proposed here for hybrid Time Difference of Arrival/Angle of Arrival (TDOA/ AOA) wireless location. Compared to the original two-step LS algorithm, the method here can provide better performance, almost the same as that of Taylor-Series estimator. Compared to the Taylor-Series solution, the method has many computational advantages, such as, li...

In a recent paper [1] a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared. The Taylor coefficients are obtained from the original diagram by differentiation and putting the external momenta equal to zero. It was demonstrated that by a certain conformal mapping and subsequent resummation by means of...

An effective technique in locating a source based on intersections of hyperbolic curves defined by the time differences of arrival of a signal received at a number of sensors is proposed. The approach is noniterative and gives au explicit solution. It is an approximate realization of the maximum-likelihood estimator and is shown to attain the Cramer-Rao lower bound near the small error region. ...

In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent to...

The paper revisits the well-known spectral transforms of a Boolean function, emphasizing on the fact that ReedMuller, arithmetic and Walsh spectra can be calculated through boolean difference, and arithmetical and Walsh analogs of it. This techniques is called Taylor technique, by analogy with Taylor series which coefficients are differences, or differentials. The algorithms are perfectly imple...