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Signal Processing, ISSN 0165-1684, 09/2015, Volume 114, pp. 112 - 116
The choice of free parameter in embedded cubature Kalman filter (ECKF) is important, and it is difficult to choose an optimal value in practice. To solve this... 
Embedded cubature Kalman filter | Fifth-degree embedded cubature rule | Gaussian filter | Adaptive method | Maximum likelihood criterion | Kalman filter | Embedded cubature | GAUSSIAN FILTERS | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms
Journal Article
1980, Computational mathematics and applications., ISBN 012238850X, xiv, 441
Book
Computers & Mathematics with Applications, ISSN 0898-1221, 11/2019
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 10/2014, Volume 67, Issue 10, pp. 1618 - 1657
We consider a basket of options with both positive and negative weights in the case where each asset has a smile, i.e., evolves according to its own local... 
MATHEMATICS | MATHEMATICS, APPLIED | OPTIONS | CUBATURE
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2018, Volume 340, pp. 43 - 52
Given strictly decreasing numbers , we give an algorithm to construct a corresponding finite sequence of orthogonal polynomials such that , has degree and for... 
Bézout identity | Cubature | Orthogonal polynomials | Christoffel–Darboux formula | MATHEMATICS, APPLIED | CUBATURE FORMULAS | GERONIMUS NODES | Christoffel-Darboux formula | Bezout identity | Algorithms
Journal Article
Automatica, ISSN 0005-1098, 03/2019, Volume 101, pp. 157 - 165
The numerical approximation of Gaussian integrals is of great relevance for a wide variety of scientific applications. In recent decades, numerous efficient... 
Cubature Kalman filter | Numerical integration | Kalman filter | Nonlinear estimation | Fully symmetric cubature rules | INTEGRATION | CONSTRUCTION | REGIONS | FORMULAS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | College teachers
Journal Article
Measurement Science and Technology, ISSN 0957-0233, 09/2017, Volume 28, Issue 10, p. 105003
Journal Article
Automatica, ISSN 0005-1098, 02/2013, Volume 49, Issue 2, pp. 510 - 518
The cubature Kalman filter (CKF), which is based on the third degree spherical–radial cubature rule, is numerically more stable than the unscented Kalman... 
Cubature Kalman filter | Numerical integration | Gaussian quadrature | Kalman filter | Nonlinear estimation | INTEGRALS | STROUD | RULES | FORMULAS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
SENSORS, ISSN 1424-8220, 03/2019, Volume 19, Issue 5, p. 986
The cubature Kalman filter (CKF) has poor performance in strongly nonlinear systems while the cubature particle filter has high computational complexity... 
ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | INSTRUMENTS & INSTRUMENTATION | deterministic sampling strategy | cubature particle filter | cubature Kalman filter | STATE | nonlinear estimation
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 10/2019, Volume 246, pp. 62 - 64
We give an explicit formula for the difference of the even and odd cubatures in terms of the complete symmetric functions. 
Complete symmetric function | Cubature | Schur function | MATHEMATICS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 256, pp. 352 - 367
To solve the problem that when the model uncertainties exists or the prior noise statistics are unknown, the accuracy of the cubature Kalman filter (CKF) will... 
Cubature Kalman filter | MAP | Noise statistic estimator | Strong tracking filter | Cubature | Kalman filter | MATHEMATICS, APPLIED | RANDOMLY DELAYED MEASUREMENTS | GAUSSIAN FILTER | TRACKING | SYSTEMS | NONLINEAR ESTIMATION
Journal Article
Energies, ISSN 1996-1073, 04/2017, Volume 10, Issue 4, p. 457
The state of charge (SOC) is the residual capacity of a battery. The SOC value indicates the mileage endurance, and an accurate SOC value is required to ensure... 
Cubature Kalman filter | Lithium-ion battery | Cubature particle filter | Electric vehicles | State of charge | state of charge | CAPACITY | VOLTAGE | electric vehicles | ENERGY & FUELS | cubature particle filter | cubature Kalman filter | OF-CHARGE | lithium-ion battery | EXTENDED KALMAN FILTER | Lithium ions
Journal Article
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9947, 10/2013, Volume 365, Issue 10, pp. 5393 - 5430
The truncated matrix-valued K-moment problem on R-d, C-d, and T-d will be considered. The truncated matrix-valued K-moment problem on Rd requires necessary and... 
INTERPOLATION | MATHEMATICS | EXTENSIONS | VARIABLES | CUBATURE
Journal Article
SIAM Review, ISSN 0036-1445, 2017, Volume 59, Issue 3, pp. 469 - 491
Algorithms that combat the curse of dimensionality take advantage of nonuniformity properties of the underlying functions, which may be rotational (e.g., grid... 
Isotropy | Sparse grids | Curse of dimensionality | Approximation | Euclidean cubature | Cubature | Euclidean degree | Low-discrepancy sequence | Padua points | Quasi-Monte Carlo | MATHEMATICS, APPLIED | approximation | curse of dimensionality | SPACES | EQUATIONS | ALGORITHMS | sparse grids | cubature | low-discrepancy sequence | quasi-Monte Carlo | isotropy | TRANSFORMS
Journal Article
2018, Chapman & Hall/CRC monographs and research notes in mathematics, ISBN 9781351764766
Web Resource
Computers and Mathematics with Applications, ISSN 0898-1221, 05/2015, Volume 69, Issue 10, pp. 1232 - 1241
In this paper we describe a methodology for the identification of symmetric quadrature rules inside of quadrilaterals, triangles, tetrahedra, prisms, pyramids,... 
Finite elements | Numerical integration | Cubature | Gaussian quadrature | MATHEMATICS, APPLIED | CUBATURE FORMULAS | TRIANGLES | COMPLETE POLYNOMIALS | Finite element method | Methods | Pyramids | Methodology | Mathematical analysis | Triangles | Manuals | Prisms | Quadratures | Symmetry
Journal Article
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