Modelling by a rational spline with interval shape control

2002 ◽  
Author(s):  
M. Sarfraz ◽  
M. Al-Mulhem ◽  
J. Al-Ghamdi ◽  
M.A. Raheem
Keyword(s):  
Shape Control ◽  
Rational Spline

Shape control of curve design by weighted rational spline

1999 ◽  
Vol 6 (3) ◽  
pp. 537-547
Author(s):  
Qi Duan ◽  
Botang Li ◽  
K. Djidjeli ◽  
W. G. Price ◽  
E. H. Twizell
Keyword(s):  
Shape Control ◽  
Curve Design ◽  
Rational Spline

Constrained plasma shape control in ITER

2009 ◽  
Author(s):  
Massimiliano Mattei ◽  
Domenico Famularo ◽  
Carmelo Vincenzo Labate
Keyword(s):  
Shape Control

On the approximation of $ \ exp (-x) $ on the half-axis by spline functions in three-point rational interpolants

2019 ◽  
pp. 32-37
Author(s):  
Abdul-Rashid Ramazanov ◽  
V.G. Magomedova
Keyword(s):  
Convergence Rate ◽  
Spline Functions ◽  
Rational Spline ◽  
Rational Interpolants ◽  
Half Axis

For the function $f(x)=\exp(-x)$, $x\in [0,+\infty)$ on grids of nodes $\Delta: 0=x_0<x_1<\dots $ with $x_n\to +\infty$ we construct rational spline-functions such that $R_k(x,f, \Delta)=R_i(x,f)A_{i,k}(x)\linebreak+R_{i-1}(x, f)B_{i,k}(x)$ for $x\in[x_{i-1}, x_i]$ $(i=1,2,\dots)$ and $k=1,2,\dots$ Here $A_{i,k}(x)=(x-x_{i-1})^k/((x-x_{i-1})^k+(x_i-x)^k)$, $B_{i,k}(x)=1-A_{i,k}(x)$, $R_j(x,f)=\alpha_j+\beta_j(x-x_j)+\gamma_j/(x+1)$ $(j=1,2,\dots)$, $R_j(x_m,f)=f(x_m)$ при $m=j-1,j,j+1$; we take $R_0(x,f)\equiv R_1(x,f)$. Bounds for the convergence rate of $R_k(x,f, \Delta)$ with $f(x)=\exp(-x)$, $x\in [0,+\infty)$, are found.

scholarly journals Seeded Growth of HgTe Nanocrystals for Shape Control and Their Use in Narrow Infrared Electroluminescence

2021 ◽  
Vol 33 (6) ◽  
pp. 2054-2061
Author(s):  
Yoann Prado ◽  
Junling Qu ◽  
Charlie Gréboval ◽  
Corentin Dabard ◽  
Prachi Rastogi ◽  
...  
Keyword(s):  
Shape Control ◽  
Seeded Growth
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