Abstract. We consider polynomial approximation on the unit sphere S = {(x, y, z) âˆˆ R : x + y + z = 1} by a class of regularized discrete least squares methods, with novel choices for theâ€¦ (More)

A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial over the sphere.â€¦ (More)

The generalized integral transform technique (GITT) is employed to obtain a hybrid numericalanalytical solution of natural convection in a cavity with volumetric heat generation. The hybrid nature ofâ€¦ (More)

We report NuSTAR observations of the millisecond pulsarâ€“low-mass X-ray binary (LMXB) transition system PSR J1023+0038 from 2013 June and October, before and after the formation of an accretion diskâ€¦ (More)

In this talk, starting with some earlier results, we propose and analyze an alternate approach of optimal L2error estimates for semidiscrete Galerkin approximations to a second order linear parabolicâ€¦ (More)

The generalized integral transform technique (GITT) is employed to obtain an exact solution for the bending problem of fully clamped orthotropic rectangular plates. The use of the GITT approach inâ€¦ (More)

In this paper we consider weighted least squares approximation by orthogonal polynomials with a regularization term on [âˆ’1, 1]. The models are better than classical least squares even mostâ€¦ (More)