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On the stability of spline-collocation methods of multivalue type (1987)

Fuchs, P. M.

Springer

BIT 27 (1987), S. 374-388

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ISSN: 1572-9125

Keywords: 65D07 ; 65L05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper the general classV of spline-collocation methods for first order systems of ordinary differential equations is investigated. The methods can in part be regarded as so-called multivalue methods. This type contains the generalized singly-implicit methods treated by Butcher. It is shown here, how any multivalue type representative ofV yields a matrix valued functionψ, for the characterization of stability at infinity. It is shown in particular, that the structure ofψ allows us to construct infinity-stable methods by an appropriate choice of the collocation points.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01933732

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