Results 251 to 260 of about 545,451 (275)

Modeling of LED using Piecewise Linear Approximation and Maclaurin series Expansion

2018 2nd IEEE International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), 2018
LED is a light emitting semiconductor device which is nowadays, swiftly replacing conventional lighting system, owing to its high intensity and low energy consumption. In order to understand the operating characteristics of LED, its modeling is required. The very basic modeling of LED can be done by considering it as a resistor.
Obaidur Rahman, Priya Mahajan, Rachana Garg   +2 more
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Evaluation of higher-order semiclassical phase integrals: Application of Chebyshev series approximation and Taylor series expansion

The Journal of Chemical Physics, 1982
A new approach for evaluating semiclassical phase integrals of the form ∮ dr f(r)/[E−U(r)]k+1/2 for any smooth potential U(r) is derived and tested. The new methods are based on a Chebyshev series or a Taylor series expansions of the integrand and do not explicitly involve handling weights required by existing forms of this procedure. In addition, they
Jussi Luppi, Petri Pajunen
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Series expansions and approximations

2002
Chapter 12 dealt with infinite series of numbers and criteria for their convergence. In the same way one can study infinite series of functions $$\sum\limits_{k = 0}^\infty {{u_k}\left( x \right)} $$ where the functions uk (x) are all defined on a common interval.
Adi Ben-Israel, Robert Gilbert
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Sensitivity reanalysis of static displacement using Taylor series expansion and combined approximate method

Structural and Multidisciplinary Optimization, 2015
This paper presents a new sensitivity reanalysis of static displacement for arbitrary changes of design variables. The current displacement of modified sensitivity equations is approximately calculated by using Taylor series expansion and then the direct sensitivity equations are solved by combined approximate method.
Wenjie Zuo, Jiantao Bai, Jufeng Yu
openaire   +1 more source

Inhomogeneous and simultaneous Diophantine approximation in Cantor series expansions

Journal of Mathematical Analysis and Applications
This paper is concerned with inhomogeneous and simultaneous Diophantine approximation for the nonautonomous dynamical system induced by Cantor series expansion. Let \(Q =\{q_k\}_{k\ge 1}\) be a sequence of positive integers with \(q_k\ge 2\) for all \(k\ge 1\). For any positive integer \(n\), the transformations \(T_{Q,n}:[0,1)\to[0,1)\) and \(T_{Q}^{n}
Shen, Zhipeng, Zhang, Baiyang
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Reliability-based robust design optimization using anchored ANOVA expansion and truncated Edgeworth series approximation

Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2017
Based on the basic concept of reliability-based design optimization and robust design optimization, a reliability-based robust design optimization is achieved with the moment method in this work. At the first step, two methods, i.e. the anchored ANOVA expansion and truncated Edgeworth series approximation, are combined to solve the reliability ...
Hao Lu, Zhencai Zhu
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Functional Series Expansions and Quadratic Approximations for Enhancing the Accuracy of the Wiener Path Integral Technique

Journal of Engineering Mechanics, 2020
AbstractA novel Wiener path integral (WPI) technique is developed for determining the response of stochastically excited nonlinear oscillators.
Apostolos F. Psaros, Ioannis A. Kougioumtzoglou   +1 more
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Series perturbations approximate solutions to N-S equations and modification to asymptotic expansion matched method

Applied Mathematics and Mechanics, 2002
A method that series perturbations approximate solutions to N-S equations with boundary conditions was discussed and adopted. Then the method was proved in which the asymptotic solutions of viscous fluid flow past a sphere were deducted. By the ameliorative asymptotic expansion matched method, the matched functions are determined easily and the ...
Li Da-ming, Zhang Hong-ping, Gao Yong-xiang   +2 more
openaire   +1 more source

Series expansions for Franck-Condon factors. I. Linear potential and the reflection approximation

The Journal of Chemical Physics, 1973
A series expansion for Franck-Condon factors is obtained for a bound-to-continuum transition in the case of a linear potential for the continuum state. The first term in the series is the result obtained from the ``reflection'' approximation. A similar series is obtained for a bound-to-bound transition.
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Power series expansion of the random phase approximation correlation energy: The role of the third- and higher-order contributions

The Journal of Chemical Physics, 2010
We derive a power expansion of the correlation energy of weakly bound systems within the random phase approximation (RPA), in terms of the Coulomb interaction operator, and we show that the asymptotic limit of the second- and third-order terms yields the van der Waals (vdW) dispersion energy terms derived by Zaremba–Kohn and Axilrod–Teller within ...
Deyu, Lu, Huy-Viet, Nguyen, Giulia, Galli   +2 more
openaire   +2 more sources