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71
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NA
2007
105views more  NA 2007»
14 years 9 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
81
Voted
NA
2007
80views more  NA 2007»
14 years 9 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
APAL
2006
74views more  APAL 2006»
14 years 10 months ago
An Aristotelian notion of size
The na
Vieri Benci, Mauro Di Nasso, Marco Forti
81
Voted
NA
2007
62views more  NA 2007»
14 years 9 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
74
Voted
NA
2007
81views more  NA 2007»
14 years 9 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