The Eigenvalues of Second-Order Spectral Differentiation Matrices

The eigenvalues of the pseudospectral second derivative matrix with homogeneous Dirichlet boundary conditions are important in many applications of spectral methods. This paper investigates some of their properties. Numerical results show that a certain fraction of the eigenvalues approximate the ei...

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Veröffentlicht in:	SIAM journal on numerical analysis 1988-12, Vol.25 (6), p.1279-1298
Hauptverfasser:	Weideman, J. A. C., Trefethen, L. N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundary conditions Eigenfunctions Eigenvalues Exact sciences and technology Interpolation Investigations Mathematical differentiation Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Partial differential equations Polynomials Sciences and techniques of general use Spectral graph theory Spectral methods Spectral theory Textual collocation
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