6533b859fe1ef96bd12b8065
RESEARCH PRODUCT
Produktintegration mit nicht-�quidistanten St�tzstellen
Claus Schneidersubject
Discrete mathematicsComputational MathematicsApplied MathematicsNumerical analysisProduct integrationHigh orderAlgorithmQuadrature (mathematics)Mathematicsdescription
For the numerical evaluation of $$\int\limits_a^b {(t - a)^{\alpha - 1} x(t)dt}$$ , 0<?<1 andx `smooth', product integration rules are applied. It is known that high-order rules, e.g. Gauss-Legendre quadrature, become `normal'-order rules in this case. In this paper it is shown that the high order is preserved by a nonequidistant spacing. Furthermore, the leading error terms of this product integration method and numerical examples are given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1980-03-01 | Numerische Mathematik |