The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods

Kauthen, J.-P.

doi:10.1090/S0025-5718-00-01257-6

The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods
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Math. Comp. 70 (2001), 1503-1514 Request permission

Abstract:

In this paper, we study polynomial spline collocation methods applied to a particular class of integral-algebraic equations of Volterra type. We analyse mixed systems of second and first kind integral equations. Global convergence and local superconvergence results are established.

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