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- W2048394072 abstract "In the traditional step-by-step collocation method with quadratic splines for Volterra integral equations an initial condition is replaced by a not-a-knot boundary condition at the other end of the interval. Such a nonlocal method gives the uniform boundedness of collocation projections for all parameters c in (0,1) characterizing the position of collocation points between spline knots. For c = 1 the projection norms have linear growth and, therefore, for any choice of c some general convergence theorems may be applied to establish the convergence with two-sided error estimates. The numerical tests supporting the theoretical results are also presented." @default.
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- W2048394072 date "2004-01-01" @default.
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- W2048394072 title "Quadratic Spline Collocation for Volterra Integral Equation" @default.
- W2048394072 doi "https://doi.org/10.4171/zaa/1227" @default.
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