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Divided differences and generalized Taylor series
Forum Mathematicum, 2008Summary: By combining divided differences with symmetric function relations, we establish two expansion formulae which generalize the classical Taylor theorem and the Maclauren expansion formula. The two \(q\)-expansion formulae due to Carlitz and Liu are also contained as special cases.
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The divided difference particle filter
2007 10th International Conference on Information Fusion, 2007Based on the concept of sequential importance sampling (SIS) and the use of Bayesian theory, particle filter is particularly useful in dealing with nonlinear and non-Gaussian problems. In this paper, a new particle filter is proposed that uses a divided difference filter to generate the importance proposal distribution is proposed.
null Yong Shi, null Chongzhao Han
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Divided Differences Calculus in Matrix Representation
International Journal of Applied and Computational Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multivariate Divided Differences with Simple Knots
SIAM Journal on Numerical Analysis, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Divided Differences and Linearly Recursive Sequences
Studies in Applied Mathematics, 1995We show that the theory of divided differences is a natural tool for the study of linearly recurrent sequences. The divided differences functional associated with a monic polynomial w on degree n + 1 yields a vector space isomorphism between the space of polynomials of degree at most equal to n and the space of linearly recurrent sequences f that ...
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EMābased adaptive divided difference filter for nonlinear system with multiplicative parameter
, 2017Xiaoxu Wang, Bao Song, Yan Liang, Q. Pan
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Nanofluidics for osmotic energy conversion
Nature Reviews Materials, 2021, Liping Wen, Lei Jiang
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New properties of the divided difference of psi and polygamma functions
RACSAM, 2017Jing-feng Tian, Zhen-Hang Yang
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Transforming heat transfer with thermal metamaterials and devices
Nature Reviews Materials, 2021Ying Li, Wei Li, Tiancheng Han
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