Zobrazeno 1 - 10
of 1 025
pro vyhledávání: '"Bos, L."'
The notion of asymptotic Fekete arrays, arrays of points in a compact set $K\subset {\bf C}^d$ which behave asymptotically like Fekete arrays, has been well-studied, albeit much more recently in dimensions $d>1$. Here we show that one can allow a mor
Externí odkaz:
http://arxiv.org/abs/2210.10682
We correct the calculation of the Monge-Amp\`ere measure of a certain extremal plurisubharmonic function for the complex Euclidean ball in C^2.
Externí odkaz:
http://arxiv.org/abs/2005.02518
Publikováno v:
Constr. Approx. 54 (2021), no. 3, 431-453
We show that the problem of finding the measure supported on a compact subset K of the complex plane such that the variance of the least squares predictor by polynomials of degree at most n at a point exterior to K is a minimum, is equivalent to the
Externí odkaz:
http://arxiv.org/abs/1912.12462
Publikováno v:
Journal of Computational Physics 417, 15 September 2020, 109537
A novel method is proposed to infer Bayesian predictions of computationally expensive models. The method is based on the construction of quadrature rules, which are well-suited for approximating the weighted integrals occurring in Bayesian prediction
Externí odkaz:
http://arxiv.org/abs/1907.08418
Publikováno v:
Journal of Computational Physics 332, 1 March 2017, Pages 418-445
For the purpose of uncertainty quantification with collocation, a method is proposed for generating families of one-dimensional nested quadrature rules with positive weights and symmetric nodes. This is achieved through a reduction procedure: we star
Externí odkaz:
http://arxiv.org/abs/1905.06177
Autor:
Bos, L. M. M. van den, Bierbooms, W. A. A. M., Alexandre, A., Sanderse, B., van Bussel, G. J. W.
Publikováno v:
Wind Energy 23(5), May 2020, pages 1181-1195
A novel approach is proposed to reduce, compared to the conventional binning approach, the large number of aeroelastic code evaluations that are necessary to obtain equivalent loads acting on wind turbines. These loads describe the effect of long-ter
Externí odkaz:
http://arxiv.org/abs/1904.07021
Autor:
Bos, L. M. M. van den, Sanderse, B.
Publikováno v:
Journal of Computational and Applied Mathematics 391, 1 August 2021, 113430
A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory quadrature rules. The framework is based on the geometrical interpretation of the Vandermonde matrix describing the relation between the nodes and the
Externí odkaz:
http://arxiv.org/abs/1902.07477
Publikováno v:
SIAM/ASA J. Uncertainty Quantification 8(1), 21 January 2020, pages 139-169
For the purpose of uncertainty propagation a new quadrature rule technique is proposed that has positive weights, has high degree, and is constructed using only samples that describe the probability distribution of the uncertain parameters. Moreover,
Externí odkaz:
http://arxiv.org/abs/1809.09842
Publikováno v:
Communication in Computational Physics 27(1):33-69, 2020
An efficient algorithm is proposed for Bayesian model calibration, which is commonly used to estimate the model parameters of non-linear, computationally expensive models using measurement data. The approach is based on Bayesian statistics: using a p
Externí odkaz:
http://arxiv.org/abs/1802.02035
We discuss the Siciak-Zaharjuta extremal function of pluripotential theory for the unit ball in C^d for spaces of polynomials with the notion of degree determined by a convex body P. We then use it to analyze the approximation properties of such poly
Externí odkaz:
http://arxiv.org/abs/1801.02401