6533b872fe1ef96bd12d4191

RESEARCH PRODUCT

A-stable spline-collocation methods of multivalue type

P. M. Fuchs

subject

Computer Networks and CommunicationsDifferential equationApplied MathematicsNumerical analysisMathematical analysisFirst orderComputational MathematicsSpline (mathematics)Spline collocationCollocation methodInitial value problemApplied mathematicsMultiValueSoftwareMathematics

description

In this paper the general classV of spline-collocation methods presented by Multhei is investigated. The methods ofV approximate solutions of first order initial value problems. ClassV contains as subclass the methods of so-called multivalue type, and in particular contains the generalized singly-implicit methods treated by Butcher.

https://doi.org/10.1007/bf01952684