Results 231 to 240 of about 1,226 (262)

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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Spectral collocation method for Caputo fractional terminal value problems

Numerical Algorithms, 2020
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Zhendong Gu, Yinying Kong
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The spectral collocation method for efficiently solving PDEs with fractional Laplacian

Advances in Computational Mathematics, 2017
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Hong Lu 0003, Peter W. Bates, Wenping Chen, Mingji Zhang   +3 more
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A spectral collocation method for compressible, non‐similar boundary layers

International Journal for Numerical Methods in Fluids, 1991
AbstractAn efficient and highly accurate algorithm based on a spectral collocation method is developed for numerical solution of the compressible, two‐dimensional and axisymmetric boundary layer equations. The numerical method incorporates a fifth‐order, fully implicit marching scheme in the streamwise (timelike) dimension and a spectral collocation ...
Pruett, C. David, Streett, Craig L.
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Spectral collocation method for the solution of the generalized Burger–Fisher equation

Applied Mathematics and Computation, 2006
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A Chebyshev-Gauss Spectral Collocation Method for Ordinary Differential Equations

Journal of Computational Mathematics, 2015
Summary: In this paper, we introduce an efficient Chebyshev-Gauss spectral collocation method for initial value problems of ordinary differential equations. We first propose a single interval method and analyze its convergence. We then develop a multi-interval method. The suggested algorithms enjoy spectral accuracy and can be implemented in stable and
Yang, Xi, Wang, Zhongqing
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The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method

SIAM Journal on Scientific Computing, 1995
The technique developed in this paper is useful to formulate hyperbolic partial differential equations (PDEs) with characteristic boundary conditions as pure ordinary differential equation (ODE) initial value problems. Then the time integration can be performed by an ODE solver suitably adjusting the step size depending on the dynamics of the problem.
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An efficient direct method for fully conforming spectral collocation schemes

Numerical Algorithms, 1996
An efficient direct method for the solution of multidomain spectral collocation schemes is presented. It is applied to second- and fourth-order problems. In particular, the block structure of the global matrix is exploited. The performance of the method for two- and three-dimensional problems on an RS6000 workstation and a Cray J-916 supercomputer is ...
Andreas Karageorghis, Marcin Paprzycki
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SPECTRAL PROPERTIES OF DERIVATIVE OPERATORS IN THE BASIS-SPLINE COLLOCATION METHOD

International Journal of Modern Physics C, 1995
We discuss the basis-spline collocation method for the lattice solution of boundary-value differential equations, drawing particular attention to the difference between lattice and continuous collocation methods. Spectral properties of the basis-spline lattice representation of the first and second spatial derivatives are studied for the case of ...
Wells, J. C., Oberacker, V. E., Strayer, M. R., Umar, A. S.   +3 more
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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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