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- W166430412 abstract "In the last ten years the discretization of integrals with badly behaved kernel functions, on a finite interval of integration, has attracted the attention of several authors. The quadrature formulas proposed here are of interpolatory type and have the following form $$int_{ - 1}^1 {wleft( x right)} Kleft( {x,y} right)fleft( x right)dx approx i = sumlimits_{i = 1}^n {{w_{ni}}} left( y right)fleft( {{x_{ni}}} right)$$(1.1)they are obtained by replacing f(x) by a polynomial, or by a piecewise polynomial function, which interpolates the function f(x) at the knots {xni}. The main feature of these rules, usually called product formulas, is that they integrate exactly the function w(x) K(x, y)." @default.
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- W166430412 date "1988-01-01" @default.
- W166430412 modified "2023-10-14" @default.
- W166430412 title "Product Formulas for Fredholm Integral Equations with Rational Kernel Functions" @default.
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- W166430412 doi "https://doi.org/10.1007/978-3-0348-6398-8_14" @default.
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