Global convergence and local superconvergence of first-kind Volterra integral equation approximations

We present a comprehensive convergence analysis for discontinuous piecewise polynomial approximations of a first-kind Volterra integral equation with smooth convolution kernel, examining the attainable order of (super-) convergence in collocation, quadrature discontinuous Galerkin (QDG) and full dis...

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Veröffentlicht in:	IMA journal of numerical analysis 2012-07, Vol.32 (3), p.1117-1146
Hauptverfasser:	Brunner, H., Davies, P. J., Duncan, D. B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Collocation Convergence Equivalence Galerkin methods Position (location) Quadratures Volterra integral equations
Online-Zugang:	Volltext
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