Spline Collocation Differentiation Matrices

Authors:
Robert D. Russell;Weiwei Sun
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1997

Citing 0
Cited 4

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Abstract

Spline collocation differentiation matrices arising when solving PDEs with periodic boundary conditions have block circulant structure. In this paper, we use this fact to present an eigenvalue analysis for a large class of such spline collocation differentiation matrices. We use this to discuss the stability of collocation algorithms for parabolic and hyperbolic problems and fast collocation algorithms for elliptic PDEs.