Sharp error estimate of a Grünwald–Letnikov scheme for reaction-subdiffusion equations

2021 ◽  
Author(s):  
Hu Chen ◽  
Yanhua Shi ◽  
Jiwei Zhang ◽  
Yanmin Zhao
Keyword(s):  
Error Estimate ◽  
Sharp Error

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

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.

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

2018 ◽  
Vol 56 (2) ◽  
pp. 1112-1133 ◽  
Author(s):  
Hong-lin Liao ◽  
Dongfang Li ◽  
Jiwei Zhang
Keyword(s):  
Error Estimate ◽  
Linear Reaction ◽  
Sharp Error
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