Truncation Error Analysis on Reconstruction of Signal From Unsymmetrical Local Average Sampling

2015 ◽  
Vol 45 (10) ◽  
pp. 2100-2104 ◽  
Author(s):  
Yanwei Pang ◽  
Zhanjie Song ◽  
Xuelong Li ◽  
Jing Pan
Keyword(s):  
Error Analysis ◽  
Truncation Error ◽  
Average Sampling ◽  
Local Average

scholarly journals Truncation Error Analysis of Multipole Expansion

2004 ◽  
Vol 25 (4) ◽  
pp. 1293-1306 ◽  
Author(s):  
Shinichiro Ohnuki ◽  
Weng Cho Chew
Keyword(s):  
Error Analysis ◽  
Truncation Error ◽  
Multipole Expansion

Accuracy of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities

2011 ◽  
Vol 19 (2) ◽  
Author(s):  
S. Sujecki
Keyword(s):  
Refractive Index ◽  
Finite Difference ◽  
Error Analysis ◽  
Optical Waveguides ◽  
Light Propagation ◽  
Truncation Error ◽  
Mesh Size ◽  
Refractive Index Profile ◽  
Finite Difference Approximations ◽  
Difference Approximations

AbstractA rigorous truncation error analysis of three-point finite difference approximations for optical waveguides with step-wise refractive index discontinuities is given. As the basis for the analysis we use the exact coefficients of the series that expresses the field value at a given finite difference node in terms of the field value and its derivatives at a neighbouring node. This series is applied to develop a rigorous formalism for the truncation error analysis of the three-point finite difference approximations used in the numerical modelling of light propagation in optical waveguides with step-wise discontinuities of the refractive index profile. The results show that the approximations reach O(h2) truncation error only asymptotically for sufficiently small values of the mesh size.

A survey of truncation error analysis for Pad� and continued fraction approximants

1993 ◽  
Vol 33 (2-3) ◽  
pp. 211-272 ◽  
Author(s):  
Cathleen Craviotto ◽  
William B. Jones ◽  
W. J. Thron
Keyword(s):  
Error Analysis ◽  
Continued Fraction ◽  
Truncation Error
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