Abstract
A fairly large class of quadrature formulas is introduced. Uniform, pointwise, and integral bounds are derived for approximating Integral exponentials by quadrature formulas from this class. The bounds are applied to investigate the rate of convergence of the method of discrete ordinates for solving the transport equation and its depend ence on the choice of the first node on the quadrature formula. Gauss and Clenshaw-Curtis formulas are considered as examples.
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More From: USSR Computational Mathematics and Mathematical Physics
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