Stability of quadrature rule methods for first kind volterra integral equations |
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Authors: | C J Gladwin R Jeltsch |
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Institution: | (1) Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada;(2) Department of Mathematics, University of California, Los Angeles, California, USA |
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Abstract: | Gladwin 4] proved that Newton-Gregory formulas of order larger than 2 produce unstable algorithms when applied to nonlinear Volterra integral equations of the first kind. It is shown that similar results are true for all interpolatory quadrature rules using equidistant nodes. Upper bounds for the error order of quadrature rules, which lead to stable methods are given. Some higher order stable methods are indicated. |
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