Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations |
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| Authors: | Jennifer Dixon Sean McKee Rolf Jeltsch |
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| Affiliation: | (1) Oxford University Computing Laboratory, 8-11 Keble Road, Oxford, UK;(2) Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Templergraben 55, D-5100 Aachen, Germany |
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| Abstract: | Summary An existence and uniqueness result is given for nonlinear Volterra integral equations of the first kind. This permits, by means of analogous discrete manipulations, a general convergence analysis for a wide class of discretization methods for nonlinear first kind Volterra integral equations to be presented. A concept of optimal consistency allows twosided error bounds to be derived. |
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| Keywords: | AMS(MOS): 65 R 20 CR: G1.9 |
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