Results 11 to 20 of about 30,959 (260)
Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The paper deals with an analysis of the stress and displacement fields in various cracked specimens (loaded in mode I as well as in mode II). The main goal is to determine an accurate approximation of the near-crack-tip fields which can be subsequently
Lucie MALÍKOVÁ, Václav VESELÝ
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On Approximating DSGE Models by Series Expansions [PDF]
SSRN Electronic Journal, 2010 We show how to use a simple perturbation method to solve non-linear rational expectation models. Drawing from the applied mathematics literature we propose a method consisting of series expansions of the non-linear system around a known solution. The variables are represented in terms of their orders of approximation with respect to a perturbation ...
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Approximation of the Nonlinear B-H Curve by Complex Exponential Series
IEEE Access, 2020 The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse.
Martin Dadic +2 more
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On the Approximation of Delayed Systems by Taylor Series Expansion [PDF]
Journal of Computational and Nonlinear Dynamics, 2015 It is known that stability properties of delay-differential equations are not preserved by Taylor series expansion of the delayed term. Still, this technique is often used to approximate delayed systems by ordinary differential equations in different engineering and biological applications.
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Gain Scheduling Controller Synthesis for Control Moment Gyroscope Using Improved Approximation
SICE Journal of Control, Measurement, and System Integration, 2018 This paper presents gain scheduling (GS) control of a variable speed control moment gyroscope (VSCMG) based on sum of squares (SOS). Nonlinear motion equations of the VSCMG are complicated because they contain many trigonometric functions of angles of ...
Toru Inaba, Gan Chen, Isao Takami
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Open Mathematics, 2022 In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
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An Operator-Based Scheme for the Numerical Integration of FDEs
Mathematics, 2021 An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary ...
Inga Timofejeva +4 more
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Results in Physics, 2018 Simple analytic approximations valid for x⩾0 have been found for the modified Bessel functions I2(x) and I2/3(x), used amply in Electromagnetism and Mechanics applications.
Pablo Martin +3 more
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Applied Sciences, 2020 This paper proposes a new method to get explicit expressions of some quantities associated with performance analysis of the maximum likelihood DOA algorithm in the presence of an additive Gaussian noise on the antenna elements.
Ji Woong Paik, Kyu-Ho Lee, Joon-Ho Lee
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Approximation of Probability Density Functions for PDEs with Random Parameters Using Truncated Series Expansions [PDF]
Vietnam Journal of Mathematics, 2021 The probability density function (PDF) of a random variable associated with the solution of a partial differential equation (PDE) with random parameters is approximated using a truncated series expansion. The random PDE is solved using two stochastic finite element methods, Monte Carlo sampling and the stochastic Galerkin method with global polynomials.
Giacomo Capodaglio +2 more
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