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» Computation of Gauss-Kronrod quadrature rules
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MOC
2000
173views more  MOC 2000»
13 years 11 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
14 years 10 days 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 11 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
13 years 2 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 11 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. ...