Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement. [PDF]
Numer Math (Heidelb), 2017 In this paper, an analysis of the accuracy-enhancement for the discontinuous Galerkin (DG) method applied to one-dimensional scalar nonlinear hyperbolic conservation laws is carried out.
Meng X, Ryan JK.
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Correntropy Based Divided Difference Filtering for the Positioning of Ships [PDF]
Sensors, 2018 In this paper, robust first and second-order divided difference filtering algorithms based on correntropy are proposed, which not only retain the advantages of divided difference filters, but also exhibit robustness in the presence of non-Gaussian noises,
Xi Liu +3 more
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On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices [PDF]
Axioms, 2013 The main aim of this paper is the development of suitable bases that enable the direct series representation of orthogonal polynomial systems on nonuniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this
Salifou Mboutngam +3 more
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Maximum Likelihood-Based Iterated Divided Difference Filter for Nonlinear Systems from Discrete Noisy Measurements [PDF]
Sensors, 2012 A new filter named the maximum likelihood-based iterated divided difference filter (MLIDDF) is developed to improve the low state estimation accuracy of nonlinear state estimation due to large initial estimation errors and nonlinearity of measurement ...
Changyuan Wang, Jing Zhang, Jing Mu
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A Maximum Correntropy Divided Difference Filter for Cooperative Localization
IEEE Access, 2018 This paper derives a new maximum correntropy divided difference filter (DDF) to address the heavy-tailed measurement noise induced by non-Gaussian measurements in cooperative localization of autonomous underwater vehicles.
Chengjiao Sun +3 more
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Robust Huber-based iterated divided difference filtering with application to cooperative localization of autonomous underwater vehicles. [PDF]
Sensors (Basel), 2014 A new algorithm called Huber-based iterated divided difference filtering (HIDDF) is derived and applied to cooperative localization of autonomous underwater vehicles (AUVs) supported by a single surface leader.
Gao W, Liu Y, Xu B.
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A Divided Difference Operator [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
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, 2005 Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences.
Carl de Boor
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Support Vector Regression-Based Adaptive Divided Difference Filter for Nonlinear State Estimation Problems [PDF]
Journal of Applied Mathematics, 2014 We present a support vector regression-based adaptive divided difference filter (SVRADDF) algorithm for improving the low state estimation accuracy of nonlinear systems, which are typically affected by large initial estimation errors and imprecise prior ...
Hongjian Wang +4 more
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Divided differences of implicit functions [PDF]
Mathematics of Computation, 2011 Under general conditions, the equation g ( x , y ) = 0 g(x,y) = 0 implicitly defines y y locally as a function of x x . In this article, we express divided differences of y y in terms of bivariate divided differences of ...
Muntingh, Georg, Floater, Michael
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