Results 21 to 30 of about 786 (181)
A Pseudospectral Method for Hammerstein Equations
Journal of Mathematical Analysis and Applications, 1996 The paper is concerned with the numerical solution of the Hammerstein integral equation \[ y(t) - \int^1_0k(t,s)g \bigl(s,y(s) \bigr)ds=f(t), \quad t\in[-1,1], \tag{1} \] with \(g\) nonlinear in \(y\). The proposed method is applied not to equation (1), but rather to an equivalent equation \(z(t) = g(t,y(t))\), where \(z\) is approximated by algebraic ...
Elnagar, Gamal N., Razzaghi, Mohsen
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Online Cooperative Trajectory Planning for UCAV Formation in Uncertain Environment [PDF]
Xibei Gongye Daxue Xuebao, 2018 This paper presents a local online planning method based on hp adaptive pseudospectral method to address the cooperative trajectory planning of UCAV formation in uncertain environment.
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Sparse pseudospectral approximation method
Computer Methods in Applied Mechanics and Engineering, 2012 Multivariate global polynomial approximations - such as polynomial chaos or stochastic collocation methods - are now in widespread use for sensitivity analysis and uncertainty quantification. The pseudospectral variety of these methods uses a numerical integration rule to approximate the Fourier-type coefficients of a truncated expansion in orthogonal ...
Constantine, Paul G. +2 more
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Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
International Journal of Aerospace Engineering, 2018 A mapped Chebyshev pseudospectral method is extended to solve three-dimensional unsteady flow problems. As the classical Chebyshev spectral approach can lead to numerical instabilities due to ill conditioning of the spectral matrix, the Chebyshev points ...
Jae-Young Choi +3 more
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Discrete Dynamics in Nature and Society, 2018 Solar sails have many advantages over traditional chemical propulsion spacecraft, such as needlessness of fuel, high payload ratio, long service life, and great application potential in deep space exploration, interstellar voyage, and other aerospace ...
Yufei Guo +4 more
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Radial Basis Function Pseudospectral Method for Solving Standard Fitzhugh-Nagumo Equation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 In this article, a pseudospectral approach based on radial basis functions is considered for the solution of the standard Fitzhugh-Nagumo equation. The proposed radial basis function pseudospectral approach is truly mesh free.
Geeta Arora, Gurpreet Singh Bhatia
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Dynamical Analysis of Fractional Integro-Differential Equations
Mathematics, 2022 In this article, we solve fractional Integro differential equations (FIDEs) through a well-known technique known as the Chebyshev Pseudospectral method. In the Caputo manner, the fractional derivative is taken.
Taher S. Hassan +3 more
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Analysis of Entry Footprint Based on Pseudospectral Method
Shanghai Jiaotong Daxue xuebao, 2022 Entry footprint is an essential manifestation of vehicle maneuverability, which can provide the basis for trajectory planning and guidance, landing point selection, etc.
LI Zhaoting, ZHOU Xiang, ZHANG Hongbo, TANG Guojian
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Autonomous Parking Path Planning Method Based on Pseudospectral Method [PDF]
Jisuanji gongcheng, 2017 Current related researches on parking methods are suitable for parallel parking scenario and vertical parking scenario.So,a general autonomous parking path planning scheme is proposed.The scheme takes the parking time as performance index,and formulates ...
YE Linquan,ZHU Hui,MEI Tao
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Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh-Bénard convection [PDF]
Papers in Physics, 2015 We present the adaptation to non-free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck-Boussinesq equations in a Rayleigh-Bénard cell with no-slip ...
I. C. Ramos, Carlos B. Briozzo
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