Results 271 to 280 of about 2,264 (306)

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 Chebyshev Collocation for the Poisson and Biharmonic Equations

SIAM Journal on Scientific Computing, 2010
This paper is concerned with the spectral Chebyshev collocation solution of the Dirichlet problems for the Poisson and biharmonic equations in a square. The collocation schemes are solved at a cost of $2N^3+O(N^2\log N)$ operations using an appropriate set of basis functions, a matrix diagonalization algorithm, and fast Fourier transforms.
Bialecki, B., Karageorghis, Andreas, Bialecki, B., Karageorghis, Andreas   +3 more
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Spectral Analysis of Hermite Cubic Spline Collocation Systems

SIAM Journal on Numerical Analysis, 1999
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Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems

International Journal of Computational Methods, 2016
This paper reports a new Legendre–Gauss–Lobatto collocation (SL-GL-C) method to solve numerically two partial parabolic inverse problems subject to initial-boundary conditions. The problem is reformulated by eliminating the unknown functions using some special assumptions based on Legendre–Gauss—Lobatto quadrature rule. The SL-GL-C is utilized to solve
Bhrawy, A. H., Abdelkawy, M. A.
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Spectral Analysis for Radial Basis Function Collocation Matrices

2010
The aim of this paper is to provide tools and results for the analysis of the linear systems arising from radial basis function (RBF) approximations of partial differential equations (PDEs), see e.g., [1,9]. Informally, a radial function \(\phi (x) : \mathbb{R}^n \rightarrow \mathbb{R} \) is a function of the Euclidean norm \(\|x\|\) of x, i.e., \(\phi
CAVORETTO, Roberto, DE ROSSI, Alessandra, M. Donatelli, S. Serra Capizzano   +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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Spectral collocation schemes on the unit disc

Journal of Computational Physics, 2004
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Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements

Journal of Computational Physics, 1999
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Hesthaven, J. S., Dinesen, P. G., Lynov, J. P.   +2 more
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Least‐squares spectral collocation method for the Stokes equations

Numerical Methods for Partial Differential Equations, 2003
AbstractFirst‐order system least‐squares spectral collocation methods are presented for the Stokes equations by adopting the first‐order system and modifying the least‐squares functionals in 2. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product ...
Kim, Sang Dong, Lee, Hyung-Chun, Shin, Byeong Chun   +2 more
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Spectral analysis and spectral symbol of matrices in isogeometric collocation methods

Mathematics of Computation, 2015
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Donatelli M., Garoni C., Manni C., Serra-Capizzano S., Speleers H.   +4 more
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