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NA
2007
64views more  NA 2007»
11 years 4 months ago
UPML formulation for truncating conductive media in curvilinear coordinates
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...
NA
2007
100views more  NA 2007»
11 years 4 months ago
Periodization strategy may fail in high dimensions
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,...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
NA
2007
84views more  NA 2007»
11 years 4 months ago
A generalization of Euler's constant
: 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...
Alina Sîntamarian
NA
2007
60views more  NA 2007»
11 years 4 months ago
Rational approximation of vertical segments
Oliver Salazar Celis, Annie A. M. Cuyt, Brigitte V...
NA
2007
80views more  NA 2007»
11 years 4 months ago
Image reconstruction by OPED algorithm with averaging
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 ...
Yuan Xu, Oleg Tischenko, Christoph Hoeschen
NA
2007
70views more  NA 2007»
11 years 4 months ago
Multivariate polynomial interpolation: conjectures concerning GC-sets
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...
Carl de Boor
NA
2007
81views more  NA 2007»
11 years 4 months ago
Positive weight quadrature on the sphere and monotonicities of Jacobi polynomials
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...
Paul C. Leopardi
NA
2007
120views more  NA 2007»
11 years 4 months ago
On choosing "optimal" shape parameters for RBF approximation
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...
Gregory E. Fasshauer, Jack G. Zhang
NA
2007
62views more  NA 2007»
11 years 4 months ago
A guided tour through my bibliography
Walter Gautschi
books