Results 261 to 270 of about 3,194 (297)

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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The chain collocation method: A spectrally accurate calculus of forms

Journal of Computational Physics, 2014
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Dzhelil Rufat, Gemma Mason, Patrick Mullen, Mathieu Desbrun   +3 more
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A spectral collocation method for fractional chemical clock reactions

Computational and Applied Mathematics, 2020
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Mohamed M. Khader, Khaled M. Saad, Dumitru Baleanu, Sunil Kumar   +3 more
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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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Stochastic boundary collocation and spectral methods for solving PDEs

Monte Carlo Methods and Applications, 2012
We develop a stochastic boundary method (SBM) which can be considered as a randomized version of the method of fundamental solutions (MFS). We suggest solving the large system of linear equations for the weights in the expansion over the fundamental solutions by a randomized SVD method introduced by Sabelfeld and Mozartova (2011).
Karl Sabelfeld, Nadezhda Mozartova
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Legendre spectral collocation in space and time for PDEs

Numerische Mathematik, 2016
It is shown that the Lagrange space-time spectral collocation method of \textit{T. Tang} and \textit{X. Xu} [``Accuracy enhancement using spectral post processing for differential equations and integral equations'', Commun. Comput. Phys. 5, 779--792 (2009)] converges spectrally in both space and time.
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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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Comments on a Collocation Spectral Solver for the Helmholtz Equation

Journal of Computational Physics, 1996
The authors comment on a simple extension of a spectral-collocation Helmholtz solver due to \textit{U. Ehrenstein} and \textit{R. Peyret} [Int. J. Numer. Methods Fluids 9, No. 4, 427-452 (1989; Zbl 0665.76107)]. In contrast to Ehrenstein and Peyret the authors derive the more general case of non-homogeneous, Robin boundary conditions.
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Least-Squares Spectral Collocation for the Navier–Stokes Equations

Journal of Scientific Computing, 2004
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Spectral collocation schemes on the unit disc

Journal of Computational Physics, 2004
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