Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 A robust topology optimization (RTO) approach with consideration of loading uncertainties is developed in this paper. The stochastic collocation method combined with full tensor product grid and Smolyak sparse grid transforms the robust formulation into a weighted multiple loading deterministic problem at the collocation points.
Qinghai Zhao +4 more
wiley +1 more source
Evaluation of the Inductive Coupling between Coplanar Concentric Coils in the Presence of the Ground
International Journal of Antennas and Propagation, Volume 2024, Issue 1, 2024.An analytical approach is presented that allows deriving an exact series‐form representation for the flux linkage between two physically large concentric circular coils located on a lossy soil. The expression comes from a three‐step analytical procedure.
Mauro Parise, Rajkishor Kumar
wiley +1 more source
On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type [PDF]
, 2022 R. Orive +3 more
openalex +1 more source
Roundoff errors in the problem of computing Cauchy principal value integrals
, 2015 We investigate the possibility of fast, accurate and reliable computation of the Cauchy principal value integrals $\mathrm{P}\!\int_{a}^{b} f(x)(x-\tau)^{-1} dx$ $(a < \tau < b)$ using standard adaptive quadratures. In order to properly control the error
Keller, Paweł, Wróbel, Iwona
core +1 more source
Computing Tails of Compound Distributions Using Direct Numerical Integration
, 2009 An efficient adaptive direct numerical integration (DNI) algorithm is developed for computing high quantiles and conditional Value at Risk (CVaR) of compound distributions using characteristic functions.
Luo, Xiaolin, Shevchenko, Pavel V.
core +1 more source
Gauss-Jacobi-type quadrature rules for fractional directional integrals [PDF]
, 2013 Fractional directional integrals are the extensions of the Riemann–Liouville fractional integrals from one- to multi-dimensional spaces and play an important role in extending the fractional differentiation to diverse applications.
Chen, W, Pang, G, Sze, KY
core +1 more source
Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type [PDF]
, 2012 MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the ...
Cvetkovic, Aleksandar S. +1 more
core
Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions [PDF]
, 2008 A new technique for machine precision evaluation of singular and nearly singular potential integrals with 1/R singularities is presented. The numerical quadrature scheme is based on a new rational expression for the integrands, obtained by a cancellation
Graglia R.D, Lombardi, Guido
core +1 more source
A priori testing of sparse adaptive polynomial chaos expansions using an ocean general circulation model database [PDF]
, 2016 This work explores the implementation of an adaptive strategy to design sparse ensembles of oceanic simulations suitable for constructing polynomial chaos surrogates.
Conrad, Patrick Raymond +7 more
core +1 more source
JM: An R package for the joint modelling of longitudinal and time-to-event data [PDF]
, 2010 In longitudinal studies measurements are often collected on different types of outcomes for each subject. These may include several longitudinally measured responses (such as blood values relevant to the medical condition under study) and the time at ...
Rizopoulos, D. (Dimitris)
core +1 more source