A sharp error estimate for the fast Gauss transform

2006 ◽  
Vol 219 (1) ◽  
pp. 7-12 ◽  
Author(s):  
Xiaoliang Wan ◽  
George Em Karniadakis
Keyword(s):  
Error Estimate ◽  
Gauss Transform ◽  
Fast Gauss Transform ◽  
Sharp Error

A New Error Estimate of the Fast Gauss Transform

2002 ◽  
Vol 24 (1) ◽  
pp. 257-259 ◽  
Author(s):  
B. J. C. Baxter ◽  
George Roussos
Keyword(s):  
Error Estimate ◽  
Gauss Transform ◽  
Fast Gauss Transform

The Fast Gauss Transform

1989 ◽  
Author(s):  
L. Greengard ◽  
J. Strain
Keyword(s):  
Gauss Transform ◽  
Fast Gauss Transform

scholarly journals Error estimate for optimality of distributed parameter control problems via duality

1995 ◽  
Vol 8 (2) ◽  
pp. 177-188
Author(s):  
W. L. Chan ◽  
S. P. Yung
Keyword(s):  
Error Estimate ◽  
Error Estimates ◽  
Boundary Control ◽  
Impulsive Control ◽  
Hyperbolic Systems ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Sharp Error

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.

scholarly journals A Rate for the Erdős-Turán Law

1994 ◽  
Vol 3 (2) ◽  
pp. 167-176 ◽  
Author(s):  
A. D. Barbour ◽  
Simon Tavaré
Keyword(s):  
Error Estimate ◽  
Normal Distribution ◽  
Normal Approximation ◽  
The Mean ◽  
Sharp Error

The Erdős-Turán law gives a normal approximation for the order of a randomly chosen permutation of n objects. In this paper, we provide a sharp error estimate for the approximation, showing that, if the mean of the approximating normal distribution is slightly adjusted, the error is of order log−1/2n.

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