منابع مشابه
Monotonic Cubic Spline Interpolation
This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use low-order polynomials and have C2 continuity, a property that permits them to satisfy a desirable smoothness constraint. Unfortunately, that same constraint often violates another desirable property: monotonicity. The goal of this work is...
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ABSTRACT: Hilbert-Huang Transform (HHT), proposed by N. E. Huang in 1998, is a novel algorithm for nonlinear and non-stationary signal processing. The key part of this method is decomposition the signal into finite number of Intrinsic Mode Functions (IMF) which will meet the requirements of Hilbert Transform. In this part, the algorithm uses natural cubic spline to connect all local maxima and ...
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We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference method. The method yield the tri-diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. Stability and error estimation of the...
متن کاملBayesian Cubic Spline in Computer Experiments
Cubic splines are commonly used in numerical analysis. It has also become popular in the analysis of computer experiments, thanks to its adoption by the software JMP 8.0.2 2010. In this paper a Bayesian version of the cubic spline method is proposed, in which the random function that represents prior uncertainty about y is taken to be a specific stationary Gaussian process and y is the output o...
متن کاملWhich Cubic Spline should One Use?
The aim of this paper is to provide a quantitative comparison of eight different 0 1 and 0 2 cubic spline interpolation schemes. The 0 1 schemes discussed are local while the 0 2 ones are global. In practice cubic splines are often used when the smoothness of the function being interpolated/approximated is unknown. Also it is often necessary, or advantageous, to use a nonuniform mesh. Therefore...
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ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2017
ISSN: 1392-6292,1648-3510
DOI: 10.3846/13926292.2017.1329756