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» Computation of Gauss-Kronrod quadrature rules
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MOC
2000
173views more  MOC 2000»
13 years 5 months ago
Computation of Gauss-Kronrod quadrature rules
Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. This algorithm first determines a...
Daniela Calvetti, Gene H. Golub, William B. Gragg,...
WCE
2007
13 years 7 months ago
Gauss-Radau Quadrature Rule Using Special Class of Polynomials
— A form of Gauss-Quadrature rule over [0,1] has been investigated that involves the derivative of the integrand at the pre-assigned left or right end node. This situation arises...
M. A. Bokhari, Asghar Qadir
JUCS
2008
151views more  JUCS 2008»
13 years 5 months ago
The Bit-Complexity of Finding Nearly Optimal Quadrature Rules for Weighted Integration
: Given a probability measure and a positive integer n. How to choose n knots and n weights such that the corresponding quadrature rule has the minimum worst-case error when appli...
Volker Bosserhoff
MCM
2011
12 years 8 months ago
Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
Abstract. In this paper we provide sharp bounds for the error in approximating the Riemann-Stieltjes integral R b a f (t) du (t) by the trapezoidal rule f (a) + f (b) 2 [u (b) u (a...
S. S. Dragomir
COMPUTING
2007
118views more  COMPUTING 2007»
13 years 5 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...