Sentence examples for spectral expansion from inspiring English sources

In this paper, we consider the spectral expansion approach.

A procedure of optimal formula design was based on a novel approach of spectral expansion.

These vectors are important to get the spectral expansion formula for this BVP.

The spectral expansion is mathematically analyzed using the eigenvalue set of the transport operator.

The proposed solution is a hybrid version, which combines well known spectral expansion, and hierarchical Markov reward rate approaches.

Then, we obtain the uniformly convergent spectral expansion of the differential operators with the periodic matrix coefficients.

This method uses convenient spatial and temporal expansions for the unsteady flow parameters and a collocation approach to determine the a prioriunknown complex coefficients in these spectral expansions.

A Fourier Fourier basis in a set of quasi-Lagrangian coordinates that advect with the background shear is used for spectral expansions in the two horizontal directions.

A new set of polynomial functions that can be used in spectral expansions of C∞ functions in polar coordinates (r, φ) is defined by a singular Sturm-Liouville equation.

One problem associated with ETD schemes is the accurate calculation of the necessary matrices; we implement and discuss in detail a variety of different methods including direct computation, contour integration, spectral expansions and recurrence relations.

It was recently demonstrated that time-dependent PDE problems can numerically be solved with a fully pseudospectral scheme, i.e. using spectral expansions with respect to both spatial and time directions [15].