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NA
2007
98views more  NA 2007»
13 years 11 months ago
Conjectured inequalities for Jacobi polynomials and their largest zeros
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...
Walter Gautschi, Paul Leopardi
NA
2007
105views more  NA 2007»
13 years 11 months ago
Orthogonal projection regularization operators
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...
Serena Morigi, Lothar Reichel, Fiorella Sgallari
NA
2007
62views more  NA 2007»
13 years 11 months ago
Runge-Kutta interpolants for high precision computations
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...
Ch. Tsitouras
NA
2007
147views more  NA 2007»
13 years 11 months ago
An adaptive spectral least-squares scheme for the Burgers equation
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...
Wilhelm Heinrichs
NA
2007
118views more  NA 2007»
13 years 11 months ago
Extrapolation methods for approximating arc length and surface area
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...