Cardinal interpolation and spline functions VII. The behavior of cardinal spline interpolants as their degree tends to infinity

1974 ◽  
Vol 27 (1) ◽  
pp. 205-229 ◽  
Author(s):  
I. J. Schoenberg
Keyword(s):  
Spline Functions ◽  
Cardinal Interpolation ◽  
Cardinal Spline ◽  
Spline Interpolants

scholarly journals Cardinal interpolation and spline functions

1969 ◽  
Vol 2 (2) ◽  
pp. 167-206 ◽  
Author(s):  
I.J Schoenberg
Keyword(s):  
Spline Functions ◽  
Cardinal Interpolation

scholarly journals The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xiaoyan Liu ◽  
Jin Xie ◽  
Zhi Liu ◽  
Jiahuan Huang
Keyword(s):  
Integral Equations ◽  
High Accuracy ◽  
Spline Functions ◽  
Sufficient Condition ◽  
Nonlinear Integral Equations ◽  
Effective Technique ◽  
Original Solution ◽  
Cardinal Spline ◽  
The Matrix ◽  
Cardinal Splines

In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports. The integral equation is reduced to a system of algebra equations. Since the matrix for the system is triangular, it is relatively straightforward to solve for the unknowns and an approximation of the original solution with high accuracy is accomplished. Several cardinal splines are employed in the paper to enhance the accuracy. The sufficient condition for the existence of the inverse matrix is examined, and the convergence rate is analyzed. We compare our method with other methods proposed in recent papers and demonstrated the advantage of our method with several examples.

Identification of MIMO Hammerstein systems using cardinal spline functions

2006 ◽  
Vol 16 (7) ◽  
pp. 659-670 ◽  
Author(s):  
Kwong Ho Chan ◽  
Jie Bao ◽  
William J. Whiten
Keyword(s):  
Spline Functions ◽  
Hammerstein Systems ◽  
Cardinal Spline
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