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- W2768400602 abstract "Abstract We investigate the collocation method with quadratic/linear rational spline S of smoothness class C 2 for the numerical solution of two-point boundary value problems if the solution y (or −y) of the boundary value problem is a strictly convex function. We show that on the uniform mesh it holds ‖ S − y ‖ ∞ = O ( h 2 ) . Established bound of error gives a dependence on the solution of the boundary value problem and its coefficient functions. We prove also convergence rates ‖ S ′ − y ′ ‖ ∞ = O ( h 2 ) and ‖ S ″ − y ″ ‖ ∞ = O ( h 2 ) . Numerical examples support the obtained theoretical results." @default.
- W2768400602 created "2017-12-04" @default.
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- W2768400602 date "2018-03-01" @default.
- W2768400602 modified "2023-09-24" @default.
- W2768400602 title "Quadratic/linear rational spline collocation for linear boundary value problems" @default.
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- W2768400602 doi "https://doi.org/10.1016/j.apnum.2017.11.005" @default.
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