Results 31 to 40 of about 884,568 (273)
Spherical Simplex-Radial Cubature Quadrature Kalman Filter
Journal of Electrical and Computer Engineering, 2017 A spherical simplex-radial cubature quadrature Kalman filter (SSRCQKF) is proposed in order to further improve the nonlinear filtering accuracy. The Gaussian probability weighted integral of the nonlinear function is decomposed into spherical integral ...
Zhaoming Li, Wenge Yang
doaj +1 more source
Computing Discrepancies of Smolyak Quadrature Rules
Journal of Complexity, 1996 The construction, with the tensor product technique, of the higher dimensional quadrature formulas has been developed, among others, by \textit{S. A. Smolyak} [Dokl. Acad. Nauk SSSR 148, 1042-1045 (1963; Zbl 0202.39901)]. Such a formula is obtained recursively from a sequence of 1-dimensional quadrature rules, for continuous functions in \( C([0, 1]). \
Karin Frank, Stefan Heinrich
openaire +1 more source
Application of Newton–Cotes quadrature rule for nonlinear Hammerstein integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 A numerical method for solving Fredholm and Volterra integral equations of the second kind is presented. The method is based on the use of the Newton–Cotes quadrature rule and Lagrange interpolation polynomials.
A. Shahsavaran
doaj +1 more source
Gauss–Hermite interval quadrature rule
Computers & Mathematics with Applications, 2007 Let \({\mathbf h}= (h_k)\in\mathbb{R}^n\), \(H\), \(M\), \(\varepsilon_0> 0\), \({\mathbf H}^H_n= \{{\mathbf h}\in\mathbb{R}^n\mid h_k\geq 0\), \(k=1,\dots, n\), \(\sum^n_{k=1} h_k< {\mathbf H}\}\), \({\mathbf X}_n({\mathbf h})= \{{\mathbf x}\in \mathbb{R}^n\mid -\infty< x_1- h_1\leq x_1+ h_1 0\) there exist \(\varepsilon_0> 0\) and \(M> 0\) such that ...
Gradimir V. Milovanovic +1 more
openaire +1 more source
Forming a mixed Quadrature rule using an anti-Lobatto four point Quadrature rule [PDF]
, 2016 A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied.
Dash, Rajani Ballav, Singh, Bibhu Prasad
core +3 more sources
Generalized Averaged Gauss Quadrature Rules: A Survey
MathematicsConsider the problem of approximating an integral of a real-valued integrand on a real interval by a Gauss quadrature rule. The classical approach to estimate the quadrature error of a Gauss rule is to evaluate an associated Gauss–Kronrod rule and ...
Dušan L. Djukić +3 more
doaj +1 more source
Applied Sciences, 2017 An accurate and efficient Differential Quadrature Time Finite Element Method (DQTFEM) was proposed in this paper to solve structural dynamic ordinary differential equations.
Yufeng Xing, Mingbo Qin, Jing Guo
doaj +1 more source
On computation of high frequency Hankel transforms
Alexandria Engineering Journal, 2019 In this paper, we consider to compute high frequency Hankel transforms numerically. An asymptotic quadrature rule is derived based on the variable upper bound integrals. The scheme is verified to be effective by testing some numerical examples. Keywords:
Jizhong Gao, Ruyun Chen
doaj +1 more source
ERROR BOUNDS FOR SURFACE AREA ESTIMATORS BASED ON CROFTON’S FORMULA
Image Analysis and Stereology, 2011 According to Crofton's formula, the surface area S(A) of a sufficiently regular compact set A in Rd is proportional to the mean of all total projections pA (u) on a linear hyperplane with normal u, uniformly averaged over all unit vectors u.
Markus Kiderlen, Daniel Meschenmoser
doaj +1 more source
Quadrature Integration Techniques for Random Hyperbolic PDE Problems
Mathematics, 2021 In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company +2 more
doaj +1 more source