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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Quadrature And Numerical Differentiation (G.1.4) > Adaptive And Iterative Quadrature (G.1.4...)
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1-6 of 6
Reviews about "Adaptive And Iterative Quadrature (G.1.4...)":
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Algorithm 824: CUBPACK: a package for automatic cubature; framework description
Cools R., Haegemans A. ACM Transactions on Mathematical Software 29(3): 287-296, 2003. Type: Article
CUBPACK is a Fortran 95 package that aims to provide an approximation to an n-dimensional (n≥1) integral to a user-specified tolerance. The region of integration may be a union of n...
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Jan 15 2004 |
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Local error estimates and regularity tests for the implementation of double adaptive quadrature
Favati P., Fiorentino G., Lotti G., Romani F. ACM Transactions on Mathematical Software 23(1): 16-31, 1997. Type: Article
An important problem associated with numerical integration software is that of error estimation. It is difficult to compute error estimates that are both reliable and accurate, and this difficulty increases with the use of high-order l...
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Mar 1 1998 |
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Adaptive quadratures over volumes
Georg K., Widmann R. Computing 47(2): 121-136, 1991. Type: Article
The authors consider the numerical quadrature of integrals of the form D∫ f ( x ) dx, where D = { x ∈ R 3 : H ( x ) ≤ 0 &r...
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Apr 1 1993 |
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Error estimation in automatic quadrature routines
Berntsen J., Espelid T. ACM Transactions on Mathematical Software 17(2): 233-252, 1991. Type: Article
The new local error estimation procedure presented in this interesting and well-written paper is intended to be used in adaptive quadrature routines for a one-dimensional integral over a finite interval. The procedure is based on the ...
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Jun 1 1992 |
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Interpolatory integration formulas for optimal composition
Favati P., Lotti G., Romani F. ACM Transactions on Mathematical Software 17(2): 207-217, 1991. Type: Article
A common problem in the use of integration formulas with adaptive algorithms is that when integrand values are computed for use at some particular stage in the algorithm, they cannot be used at later stages in the algorithm. This paper...
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Apr 1 1992 |
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Increasing robustness in global adaptive quadrature through interval selection heuristics
Shapiro H. (ed) ACM Transactions on Mathematical Software 10(2): 117-139, 1984. Type: Article
This paper considers different methods for adaptive quadrature. Most of the analysis is based on the use of a search tree whose nodes are integration subintervals. This framework allows a careful consideration of different terminatio...
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Mar 1 1985 |
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