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Monotone cubic interpolation

About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.


Papers
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Journal ArticleDOI
TL;DR: It is expected that the reduced Hermite splines will allow to significantly extend the application range of solution mapping methods to higher dimensional problems (i.e. problems with a larger number of relevant chemical species).

11 citations

Journal ArticleDOI
TL;DR: This work considers the interpolation of fuzzy data by a differentiable fuzzy-valued function by setting some conditions on the interpolant and its first derivative and gives a numerical method for calculating this function.
Abstract: We consider the interpolation of fuzzy data by a differentiable fuzzy-valued function. We do it by setting some conditions on the interpolant and its first derivative. We give a numerical method fo...

10 citations

Journal ArticleDOI
TL;DR: In this paper, the authors describe the formulation of Quarter-sweep Modified Successive Over-Relaxation (QSMSOR) iterative method using cubic polynomial spline scheme for solving second order two-point linear boundary value problems.
Abstract: The aim of this study is to describe the formulation of Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method using cubic polynomial spline scheme for solving second order two-point linear boundary value problems. To solve the problems, a linear system will be constructed via discretization process by using cubic spline approximation equation. Then the generated linear system has been solved using the proposed QSMSOR iterative method to show the superiority over Full-Sweep Modified Successive Over-Relaxation (FSMSOR) and Half-Sweep Modified Successive Over-Relaxation (HSMSOR) methods. Computational results are provided to illustrate the effectiveness of the proposed method.

10 citations

Journal ArticleDOI
Yukio Oonishi1
TL;DR: In this paper, a new method for surface interpolation is proposed, in which the concept of splines under tension is applied, which is useful for the two-dimensional data analysis based on the non-linear fundamental equations in the physical oceanography.
Abstract: A new method for a surface interpolation is proposed, in which the concept of splines under tension is applied. It is useful for the two-dimensional data analysis based on the non-linear fundamental equations in the physical oceanography.

10 citations

Journal ArticleDOI
TL;DR: A procedure for modeling H-reflex recovery curve data involves fitting a cubic spline function to the recorded data points in such a way that the goodness of fit is determined by the standard error of the mean of each point.

10 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202316
202227
20191
201812
201740
201652