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15. 12. 2009.
One point quadrature rule with cardinal B-spline
To compute approximately an integral (1)∫0mφm(x)f(x)dx, where φm(⋅) is cardinal B-spline, we used composite rectangular rule. We proved that, on the “quasi uniform” mesh, the used formula has, conditionally speaking, algebraic degree of exactness m−1. Under additional assumptions, algebraic degree of exactness is m.