Abstract. This work presents a formulation based on UPML for truncating conductive media by using a local and non-orthogonal coordinate system to solve Maxwell’s Equations by the...
Rodrigo M. S. de Oliveira, Carlos Leonidas da S. S...
Abstract. We discuss periodization of smooth functions f of d variables for approximation of multivariate integrals. The benefit of periodization is that we may use lattice rules,...
: The purpose of this paper is to evaluate the limit γ(a) of the sequence 1 a + 1 a + 1 + · · · + 1 a + n − 1 − ln a + n − 1 a n∈N , where a ∈ (0, +∞). We give some...
Abstract. OPED is a new image reconstruction algorithm based on orthogonal polynomial expansion on the disk. We show that the integral of the approximation function in OPED can be ...
GC-sets are subsets T of Rd of cardinality dim Πn for which, for each τ ∈ T, there are n hyperplanes whose union contains all of T except for τ, thus making interpolation to a...
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
Many radial basis function (RBF) methods contain a free shape parameter that plays an important role for the accuracy of the method. In most papers the authors end up choosing this...