scholarly journals Local Lagrange interpolation using cubic C1 splines on type-4 cube partitions

2010 ◽  
Vol 162 (3) ◽  
pp. 494-511 ◽  
Author(s):  
Michael A. Matt ◽  
Günther Nürnberger
Keyword(s):  
Lagrange Interpolation

scholarly journals Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves

2015 ◽  
Vol 133 (4) ◽  
pp. 685-705 ◽  
Author(s):  
Wolfgang Erb ◽  
Christian Kaethner ◽  
Mandy Ahlborg ◽  
Thorsten M. Buzug
Keyword(s):  
Lagrange Interpolation

A Hierarchical Access Control Scheme Based on Lagrange Interpolation and ELGamal Algorithm with Numerical Experiments

2013 ◽  
Vol 385-386 ◽  
pp. 1705-1707
Author(s):  
Tzer Long Chen ◽  
Yu Fang Chung ◽  
Jian Mao Hong ◽  
Jeng Hong Jhong ◽  
Chin Sheng Chen ◽  
...  
Keyword(s):  
Access Control ◽  
Lagrange Interpolation ◽  
Control Mechanism ◽  
Key Generation ◽  
Electronic Documents ◽  
Control Scheme ◽  
Video Systems ◽  
Efficient Scheme ◽  
On Line ◽  
Access Control Mechanism

It is important to notice that the access control mechanism has been widely applied in various areas, such as on-line video systems, wireless network, and electronic documents. We propose an access control mechanism which is constructed based on two mathematical fundamentals: Lagrange interpolation and ElGamal algorithm. We conduct performance analysis to compare the efficiency of our proposed scheme with that of several related published schemes in both key generation phase and key derivation phase. Our new scheme is proven to be more efficient. It is shown, as expected, a more efficient scheme provides relatively less security and a more secure scheme is relatively less efficient for private keys of the same size.

scholarly journals Barycentric Lagrange Interpolation

SIAM Review ◽  
2004 ◽  
Vol 46 (3) ◽  
pp. 501-517 ◽  
Author(s):  
Jean-Paul Berrut ◽  
Lloyd N. Trefethen
Keyword(s):  
Lagrange Interpolation

scholarly journals On Lagrange interpolation with equally spaced nodes

2000 ◽  
Vol 62 (3) ◽  
pp. 357-368 ◽  
Author(s):  
Michael Revers
Keyword(s):  
Rate Of Convergence ◽  
Lagrange Interpolation ◽  
End Points ◽  
Quantitative Version ◽  
Equidistant Nodes ◽  
Lagrange Interpolation Polynomials ◽  
Interpolation Polynomials ◽  
Exact Rate Of Convergence

A well-known result due to S.N. Bernstein is that sequence of Lagrange interpolation polynomials for |x| at equally spaced nodes in [−1, 1] diverges everywhere, except at zero and the end-points. In this paper we present a quantitative version concerning the divergence behaviour of the Lagrange interpolants for |x|3 at equidistant nodes. Furthermore, we present the exact rate of convergence for the interpolatory parabolas at the point zero.

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