Interpolation is a form of function approximation in which the approximating function (interpolant) and the underlying function must agree at a finite number of points. In some cases additional restrictions may be imposed on the interpolant. For example its first derivative evaluated at a finite number of points may have to agree with that of the underlying function. Other examples include addi...

The superiority of the convergence behavior of effective rotational Hamiltonians expressed in terms of Pade approximants over more conventional power series Hamiltonians is well known. For diatomics it is suggested that the failure of the conventional expansions is due to singularities in the complex Jplane. This theory is supported by numerical calculations on rotationally excited Ha with both...

In this paper our aim is to estimate integrals of the form [,"if} = J~... f(ei9)dl-£(8) where 1-£ is, in general a complex measure. We consider quadrature formulas like [n if} = L:7=1 Aj,nf(xj,n) with n distinct nodes Xj,n on the unit circle and so that [,"if} = [n{f} for any f E 'Rn (a certain subspace of Laurent polynomials with dimension n). Under appropriate assumptions on the function f we...

We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameter space found using this method is unique for each lter bank. Similarly to any other lattice structure, the PR property is achieved struct...

This paper investigates the adaptive attitude tracking problem for rigid satellite involving output constraint, input saturation, time delay, and external disturbance by integrating barrier Lyapunov function (BLF) prescribed performance control (PPC). In contrast to existing approaches, delay is addressed Pade approximation, actual concerning saturation obtained utilizing an auxiliary variable ...

Two versions of approximation formulae for periodic Ateb-sine and Ateb-cosine in the first quarter their common period are proposed. The version is a Pade type derived when constructing analytical solution corresponding integral equation by iteration method with transforming power series into closed sum Shanks’ formula. approximations considered. one more concise but worse accuracy which deteri...

QSP-10 APPLICATION OF AN IN SILICO PHYSIOLOGICALLY BASED PHARMACOKINETIC MODEL TO SIMULATE ORAL DRUG BIOAVAILABILITY OF ATORVASTATIN ACID AND CYCLOSPORINE POST BARIATRIC SURGERY. A. S. Darwich,1 D. Pade,2 K. Rowland-Yeo,2 M. Jamei,2 A. Åsberg,3 H. Christensen,3 D. M. Ashcroft,1 A. Rostami-Hodjegan1; 1Centre for Applied Pharmacokinetic Research, University of Manchester, Manchester, United Kingd...

This paper is devoted to introduce analytic solutions by Differential Transform Method-Pade approximants with theoretical study for the problem of the hydromagnetic flow due to a permeable stretching surface embedded in a porous medium in the presence of transverse magnetic field. The governing momentum equation which is a nonlinear partial differential equation is reduced into a nonlinear ordi...