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A model predictive control framework with fatigue life assessment for flywheel energy storage systems supported by active magnetic bearings. [PDF]

Sci Rep
Hashim A, Shaltout ML, El-Kashif E, Hussein BA.   +3 more
europepmc   +1 more source

Szegő–Lobatto Quadrature Rules

Journal of Computational and Applied Mathematics, 2007
Szegö quadrature rules are analogs of Gauss quadrature rules for the integration of periodic functions. They integrate exactly trigonometric polynomials of as high degree as possible. Szegö quadrature rules have a free parameter, which can be used to prescribe one node.
Lothar Reichel
exaly   +3 more sources

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A probabilistic model for quadrature rules

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Masjed-Jamei, Mehdi Dehghan 0002
openaire   +2 more sources

Quadrature rules for rational functions

Numerische Mathematik, 2000
Recent ideas on Gauss-type quadrature rules are extended to Gauss-Kronrod, Gauss-Turán and Cauchy principal value quadrature rules. Numerical examples supporting the theory are given.
GAUTSCHI W., GORI L., LO CASCIO, Maria Laura   +2 more
openaire   +3 more sources

On the computation of Patterson-type quadrature rules

Journal of Computational and Applied Mathematics, 2022
The Gauss-Kronrod formula is a \((2n+1)\)-point interpolating quadrature formula for \(I[f]=\int_{-1}^1 f(x)d\mu(x)\). It has \(n\) Gauss nodes (zeros of orthogonal polynomial \(p_n\)), and the remaining \(n+1\) nodes are zeros of a the Stieltjes polynomial \(Q_{n+1}\) (orthogonal to \(p_n(x) x^k\), \(k=0,\ldots,n\)) [\textit{D. Calvetti} et al., Math.
Bernardo de la Calle Ysern, Miodrag M. Spalevic   +1 more
openaire   +3 more sources