Inequalities are conjectured for the Jacobi polynomials P (α,β) n and their largest zeros. Special attention is given to the cases β = α − 1 and β = α. Key words. Jacobi po...
Abstract. Tikhonov regularization often is applied with a finite difference regularization operator that approximates a low-order derivative. This paper proposes the use of ortho...
Runge-Kutta (RK) pairs furnish approximations of the solution of an initial value problem at discrete points in the interval of integration. Many techniques for enriching these met...
A least-squares spectral collocation method for the one-dimensional inviscid Burgers equation is proposed. This model problem shows the stability and high accuracy of these scheme...
A well-known method of estimating the length of a parametric curve in Rd is to sample some points from it and compute the length of the polygon passing through them. In this paper...
Michael S. Floater, Atgeirr F. Rasmussen, Ulrich R...