Results 261 to 270 of about 2,264 (306)

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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Improved Resolution of Boundary Layers for Spectral Collocation

SIAM Journal on Scientific Computing, 2019
The authors of this article consider singularly perturbed two-point boundary value problems in one dimension. They derive an algorithm based on the regularized sine-transformation with and without resampling in order to improve the accuracy of the spectral method.
Conor McCoid, Manfred R. Trummer
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Preconditioning Chebyshev Spectral Collocation by Finite-Difference Operators

SIAM Journal on Numerical Analysis, 1997
Summary: \textit{S. A. Orszag} [J. Comput. Phys. 37, 70-92 (1980; Zbl 0476.65078)]\ proposed a finite difference preconditioning of the Chebyshev collocation discretization of the Poisson equation. \textit{P. Haldenwang, G. Labrosse, S. Abboudi} and \textit{M. DeVille} [J. Comput. Phys.
Kim, Sang Dong, Parter, Seymour V.
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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 on Triangular Elements

Journal of Computational Physics, 1998
Poisson problems on a segment of the unit disc and on triangles are considered. Using polar coordinates, the triangular elements are mapped on rectangular domains, where standard spectral collocation schemes are available. The authors employs a Chebyshev collocation method with Gauss-Labatto nodes in the polar coordinates.
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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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Modified Spectral Operators for Time-Collocation and Time-Spectral Solvers

54th AIAA Aerospace Sciences Meeting, 2016
A new set of pseudo-spectral operators is developed for time-spectral harmonic balance solutions of periodic unsteady flows. The method utilizes smoothing filters that alter the inverse of the discrete Fourier transformation matrix, leading to a modified pseudo-spectral operator.
Reza Djeddi, Kivanc Ekici
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Absorbing boundary conditions: a spectral collocation approach

International Journal for Numerical Methods in Fluids, 2013
SUMMARYWe introduce a spectral collocation method for the discretisation of the shallow water equations on a one‐dimensional semi‐infinite domain, employing scaled Laguerre basis functions to obtain an accurate description of the solutions on finite regions of arbitrary size. The time discretisation is based on a semi‐implicit, semi‐Lagrangian approach
T. Benacchio, BONAVENTURA, LUCA
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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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Superconvergence of a Chebyshev Spectral Collocation Method

Journal of Scientific Computing, 2007
A Chebyshev spectral collocation method is derived for approximating the solution of the second-order two point differential boundary value problems in terms of Chebyshev polynomials \[ u_p= \sum^p_1 a_m\psi_m(x),\quad\psi_m(x)= \int^x_{-1} T_{m-1}(t)\,dt,\;m\geq 1. \] Superconvergence of the derivatives \(u_p'\) at zero's of \(T_m(x)\) is proved.
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