Results 241 to 250 of about 18,385 (285)

Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

Journal of Scientific Computing, 2015
The paper presents a Legendre spectral collocation method for nonlinear Volterra integro-differential equations with non-vanishing delays. Following a review of existing methods, the paper presents results for two different forms of the problem. In each case the authors discuss first a single step scheme and provide an error analysis.
Zhao, Jingjun, Cao, Yang, Xu, Yang
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Construction and comparison of multidimensional spectral variational integrators and spectral collocation methods

Applied Numerical Mathematics, 2018
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Yiqun Li, Boying Wu, Melvin Leok
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Hamilton–Pontryagin spectral-collocation methods for the orbit propagation

Acta Mechanica Sinica, 2021
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Yi, Zhonggui, Yue, Baozeng, Deng, Mingle
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Spectral collocation methods for fractional multipantograph delay differential equations*

Lithuanian Mathematical Journal, 2023
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Shi, Xiulian, Wang, Keyan, Sun, Hui
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Fractional Spectral Collocation Method

SIAM Journal on Scientific Computing, 2014
We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of interpolants, called fractional Lagrange interpolants, which satisfy the Kronecker delta property at collocation points.
Mohsen Zayernouri, George Em Karniadakis
openaire   +1 more source

Spectral collocation methods for polymer brushes

The Journal of Chemical Physics, 2011
We provide an in-depth study of pseudo-spectral numerical methods associated with modeling the self-assembly of molten mixed polymer brushes in the framework of self-consistent field theory (SCFT). SCFT of molten polymer brushes has proved numerically challenging in the past because of sharp features that arise in the self-consistent pressure field at ...
Tanya L, Chantawansri, Su-Mi, Hur, Carlos J, García-Cervera, Hector D, Ceniceros, Glenn H, Fredrickson   +4 more
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Nonlinear stress analysis problems by spectral collocation methods

Computer Methods in Applied Mechanics and Engineering, 1997
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CIVIDINI, ANNAMARIA, ZAMPIERI E.
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Spectral collocation methods and polar coordinate singularities

Journal of Computational Physics, 1990
The paper considers the spectral collocation method for the solution of elliptic differential equations on the unit disk. Difficulties arise here since the polar coordinates behave singular at the origin and hence, some of the trial functions are not in the differential operator's domain of definition in the classical sense.
Eisen, Henner, Heinrichs, Wilhelm, Witsch, Kristian   +2 more
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ADI spectral collocation methods for parabolic problems

Journal of Computational Physics, 2010
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Bialecki, B., de Frutos, J.
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SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

International Journal of Computational Methods, 2014
In this paper, the spectral collocation method is investigated for the numerical solution of multi-order Fractional Differential Equations (FDEs). We choose the orthogonal Jacobi polynomials and set of Jacobi Gauss–Lobatto quadrature points as basis functions and grid points respectively.
Ghoreishi, F., Mokhtary, P.
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