Stability analysis of reducible quadrature methods for Volterra integral equations of the first kind based on the test equation integral (1 plus mu t plus upsilon s)y(s)ds equals t, t greater than equivalent to 0, where the limits of integration are 0 and t and mu plus upsilon greater than equivalent to 0, is presented. The solution Y of this equation is bounded in some region in ( mu , upsilon )-space, and we investigate whether this property is inherited by the numerical solution approximating Y.
|Original language||English (US)|
|Number of pages||7|
|Journal||Journal of integral equations|
|State||Published - Nov 1 1985|
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