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Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
Journal of Computational and Applied Mathematics, 2006 A modified Laguerre pseudospectral method is proposed for differential equations on the half-line. The numerical solutions are refined by multidomain Legendre pseudospectral approximation.
Guo, Ben-Yu, Wang, Li-Lian
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Reentry trajectory optimization based on a multistage pseudospectral method. [PDF]
ScientificWorldJournal, 2014 Of the many direct numerical methods, the pseudospectral method serves as an effective tool to solve the reentry trajectory optimization for hypersonic vehicles.
Zhao J, Zhou R, Jin X.
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Pseudospectral method for quadrilaterals
Journal of Computational and Applied Mathematics, 2011 In this paper, we investigate the pseudospectral method on quadrilaterals. Some results on Legendre–Gauss-type interpolation are established, which play important roles in the pseudospectral method for partial differential equations defined on ...
Guo, Ben-yu +3 more
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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.
Constantine, Paul G. +2 more
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Mixed Pseudospectral Method for Heat Transfer
Mathematical Modelling and Analysis, 2016 In this paper, we propose a mixed generalized Laguerre-Legendre pseudospectral method for non-isotropic heat transfer with inhomogeneous boundary conditions on an infinite strip.
Tian-Jun Wang +3 more
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A Pseudospectral Method for Hammerstein Equations
Journal of Mathematical Analysis and Applications, 1996 This paper considers Hammerstein equations[formula]and presents a pseudospectral method for solving them numerically. The method is applied to approximate the solution not to the equation in its original form, but rather to an equivalent equationz(t)=g(t,
Razzaghi, Mohsen, Elnagar, Gamal N.
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Direct trajectory optimization based on a mapped Chebyshev pseudospectral method
Chinese Journal of Aeronautics, 2013 In view of generating optimal trajectories of Bolza problems, standard Chebyshev pseudospectral (PS) method makes the points’ accumulation near the extremities and rarefaction of nodes close to the center of interval, which causes an ill-condition of ...
Guo, Xiao, Zhu, Ming
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Transportation Research Part C: Emerging Technologies, 2013 The optimal trajectory planning problem for train operations under constraints and fixed arrival time is considered. The varying line resistance, variable speed restrictions, and varying maximum traction force are included in the problem definition.
De Schutter, Bart +3 more
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials [PDF]
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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The Bellman Pseudospectral Method [PDF]
, 2008 The article of record as published may be located at http://dx.doi.org/10.2514/6.2008-6448Based on the discoveries of a recently proposed algorithm for low-thrust trajectory optimization, we present the Bellman Pseudospectral (PS) method for a generic ...
Gong, Qi +2 more
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