spectral approximation

spectral approximation

[‚spek·trəl ə‚prȧk·sə′mā·shən]
(mathematics)
A numerical approximation of a function of two or more variables that involves the expansion of the function into a generalized Fourier series, followed by computation of the Fourier coefficients.
References in periodicals archive ?
THE SPECTRAL GALERKIN METHOD (N = 4) We will use the Spectral approximation for N = 4.
HUANG, A time-space collocation spectral approximation for a class of time fractional differential equations, Int.
The time-splitting Chebyshev-spectral method is based on Strang splitting method in time coupled with Chebyshev- spectral approximation in space.
On time-splitting spectral approximations for the Schrodinger equation in the semiclassical regime.
The frequently studied Gegenbauer reconstruction method has been shown to alleviate the effects of the Gibbs phenomenon while restoring the exponential accuracy of the spectral approximation.
Swarztrauber, On the Spectral Approximation of Discrete Scalar and Vector Functions on a Sphere, Siam J.
CHATELIN, Spectral Approximation of Linear Operators, Academic Press, New York, 1983.
OSBORN, Spectral approximation for compact operators, Math.
In this paper we present an extension of the spectral approximation theory for non-compact operators in Hilbert spaces.
Almost at the same time, Lebaud [11] analyzed a similar problem posed on two-dimensional domains by using isoparametric finite elements methods in the framework of the classical spectral approximation theory; see [1].
finite differences, DtN maps, anisotropy, spectral approximation
The topics include a model-based frequentist design for univariate and multivariate geostatistics, spatial sampling design by means of spectral approximations to the error process, accounting for design in the analysis of spatial data, spatial design for knot selection in knot-based dimension reduction models, space-time adaptive sampling and data transformations, adaptive sampling design for spatio-temporal prediction, and active learning for monitoring network optimization.
Full browser ?