Error bounds for bivariate spline interpolation

1977 ◽  
pp. 196-211
Author(s):  
W. Schäfer ◽  
W. Schempp
Keyword(s):  
Error Bounds ◽  
Spline Interpolation ◽  
Bivariate Spline ◽  
Bivariate Spline Interpolation

scholarly journals Developments in bivariate spline interpolation

2000 ◽  
Vol 121 (1-2) ◽  
pp. 125-152 ◽  
Author(s):  
G. Nürnberger ◽  
F. Zeilfelder
Keyword(s):  
Spline Interpolation ◽  
Bivariate Spline ◽  
Bivariate Spline Interpolation

scholarly journals Bivariate spline interpolation with optimal approximation order

2001 ◽  
Vol 17 (2) ◽  
pp. 181-208 ◽  
Author(s):  
O. Davydov ◽  
G. Nürnberger ◽  
F. Zeilfelder
Keyword(s):  
Spline Interpolation ◽  
Approximation Order ◽  
Optimal Approximation ◽  
Bivariate Spline ◽  
Bivariate Spline Interpolation

Bivariate spline interpolation at grid points

1995 ◽  
Vol 71 (1) ◽  
pp. 91-119 ◽  
Author(s):  
G. Nürnberger ◽  
Th. Riessinger
Keyword(s):  
Spline Interpolation ◽  
Bivariate Spline ◽  
Grid Points ◽  
Bivariate Spline Interpolation

scholarly journals Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Error Analysis ◽  
Error Bounds ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
The Other ◽  
Cubic Spline Interpolation ◽  
Numerical Tests ◽  
New Methods ◽  
Noisy Function

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

scholarly journals Error bounds for spline-on-spline interpolation

1982 ◽  
Vol 36 (3) ◽  
pp. 213-225 ◽  
Author(s):  
Vaclav Dolezal ◽  
Reginald P Tewarson
Keyword(s):  
Error Bounds ◽  
Spline Interpolation

scholarly journals Extended Lp-error bounds for spline and L-spline interpolation

1974 ◽  
Vol 12 (3) ◽  
pp. 242-264 ◽  
Author(s):  
Stephen Demko ◽  
Richard S Varga
Keyword(s):  
Error Bounds ◽  
Spline Interpolation
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