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Uncertain dynamic topology optimization based on the interval reliability evaluation and equivalent static loads (ESLs) algorithm
This study investigates an interval reliability-based topology optimization (IRBTO) scheme
for the lightweight design of continuum structures under unknown-but-bounded (UBB) …
for the lightweight design of continuum structures under unknown-but-bounded (UBB) …
Derivative-based closed Newton–Cotes numerical quadrature
COE Burg - Applied Mathematics and Computation, 2012 - Elsevier
A new family of numerical integration formula of closed Newton–Cotes-type is presented,
that uses both the function value and the derivative value on uniformly spaced intervals …
that uses both the function value and the derivative value on uniformly spaced intervals …
Uncertainty analysis of quasi-zero stiffness metastructure for vibration isolation performance
D Wang, J Zhao, Q Ma, G Zhou, D Zhang, R Zhu - Frontiers in Physics, 2022 - frontiersin.org
Quasi-zero stiffness (QZS) metamaterials and metastructures have great advantages of
being highly integrable and lightweight for vibration isolation in aerospace and aviation …
being highly integrable and lightweight for vibration isolation in aerospace and aviation …
Midpoint Derivative‐Based Closed Newton‐Cotes Quadrature
W Zhao, H Li - Abstract and Applied Analysis, 2013 - Wiley Online Library
A novel family of numerical integration of closed Newton‐Cotes quadrature rules is
presented which uses the derivative value at the midpoint. It is proved that these kinds of …
presented which uses the derivative value at the midpoint. It is proved that these kinds of …
[HTML][HTML] Derivative-based midpoint quadrature rule
COE Burg, E Degny - 2013 - scirp.org
A new family of numerical integration formula is presented, which uses the function
evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the …
evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the …
On numerical improvement of Gauss–Lobatto quadrature rules
It is well known that Gauss–Lobatto quadrature ruleis exact for polynomials of degree at
most 2n+ 1. In this paper we are going to find a formula which is approximately exact for …
most 2n+ 1. In this paper we are going to find a formula which is approximately exact for …
On numerical improvement of open Newton–Cotes quadrature rules
In this paper, we discuss about numerical improvement of the Open Newton–Cotes
integration rules that are in forms of: It is known that the precision degree of above formula is …
integration rules that are in forms of: It is known that the precision degree of above formula is …
The semi-open Newton–Cotes quadrature rule and its numerical improvement
In this paper we discuss about numerical improvement of the semi-open Newton–Cotes
integration rules that are in forms of: It is known that the precision degree of above formula is …
integration rules that are in forms of: It is known that the precision degree of above formula is …
Some classes of special functions using Fourier transforms of some two-variable orthogonal polynomials
In this paper some new classes of two-variable orthogonal functions by using Fourier
transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations …
transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations …
[PDF][PDF] Comparison of arithmetic mean, geometric mean and harmonic mean derivative-based closed Newton Cotes quadrature
T Ramachandran, D Udayakumar… - Progress in Nonlinear …, 2016 - researchmathsci.org
In this paper, the computation of numerical integration using arithmetic mean (AMDCNC),
geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed …
geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed …