spline interpolants
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Adaptive chemistry lookup tables for combustion simulations using optimal B-spline interpolants

2019 ◽  
Vol 23 (4) ◽  
pp. 674-699 ◽  
Author(s):  
Mathis Bode ◽  
Nathan Collier ◽  
Fabrizio Bisetti ◽  
Heinz Pitsch
Keyword(s):  
B Spline ◽  
Lookup Tables ◽  
Adaptive Chemistry ◽  
Spline Interpolants

Recursive computation of bivariate Hermite spline interpolants

2007 ◽  
Vol 57 (8) ◽  
pp. 962-973 ◽  
Author(s):  
A. Mazroui ◽  
D. Sbibih ◽  
A. Tijini
Keyword(s):  
Recursive Computation ◽  
Hermite Spline ◽  
Spline Interpolants

scholarly journals Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature

2004 ◽  
Vol 11 (2) ◽  
pp. 119-128 ◽  
Author(s):  
Hongzhi Zhong ◽  
Qiang Guo
Keyword(s):  
Vibration Analysis ◽  
Differential Quadrature Method ◽  
Free Vibrations ◽  
Differential Quadrature ◽  
Rectangular Plates ◽  
Cardinal Spline ◽  
Approximation Of Derivatives ◽  
Weighting Coefficients ◽  
Spline Interpolants ◽  
Free Edges

A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants. Thus, explicit expressions of weighting coefficients for approximation of derivatives are obtained. Free vibrations of rectangular plates with free edges, which pose considerable challenge to the conventional differential quadrature, are dealt with and the results are in excellent agreement with those in the literature, highlighting the effectiveness and potential of the spline-based differential quadrature.

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