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Integrating Singularities using Nonuniform Subdivision and Extrapolation. 1
"... Abstract A new approach to the computation of approximations to multidimensional integrals over an ndimensional hyperrectangular region, when the integrand is singular, is described. This approach is based on a nonuniform subdivision of the region of integration and the technique ts well to the ..."
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Abstract A new approach to the computation of approximations to multidimensional integrals over an ndimensional hyperrectangular region, when the integrand is singular, is described. This approach is based on a nonuniform subdivision of the region of integration and the technique ts well
EXTERNAL
"... Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01EAF computes approximations to the integrals of a vector of similar functions, each defined over the sam ..."
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the same multidimensional hyperrectangular region. The routine uses an adaptive subdivision strategy, and also computes absolute error estimates.
EXTERNAL
"... Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01GBF returns an approximation to the integral of a function over a hyperrectangular region, using a Mont ..."
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Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01GBF returns an approximation to the integral of a function over a hyperrectangular region, using a
d01 – Quadrature d01gbc 1 Purpose
"... nag_multid_quad_monte_carlo (d01gbc) nag_multid_quad_monte_carlo (d01gbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method. An approximate relative error estimate is also returned. This function is suitable for low accuracy work. ..."
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nag_multid_quad_monte_carlo (d01gbc) nag_multid_quad_monte_carlo (d01gbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method. An approximate relative error estimate is also returned. This function is suitable for low accuracy work.
d01 ± Quadrature d01xbc 1 Purpose
"... nag_multid_quad_monte_carlo_1 (d01xbc) nag_multid_quad_monte_carlo_1 (d01xbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method.An approximate relative error estimate is also returned.This routine is suitable for low accuracy work. ..."
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nag_multid_quad_monte_carlo_1 (d01xbc) nag_multid_quad_monte_carlo_1 (d01xbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method.An approximate relative error estimate is also returned.This routine is suitable for low accuracy work.
EXTERNAL
"... Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01EAF computes approximations to the integrals of a vector of similar functions, each defined over the sam ..."
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the same multidimensional hyperrectangular region. The routine uses an adaptive subdivision strategy, and also computes absolute error estimates.
d01 – Quadrature d01xbc 1 Purpose
"... nag_multid_quad_monte_carlo_1 (d01xbc) nag_multid_quad_monte_carlo_1 (d01xbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method. An approximate relative error estimate is also returned. This function is suitable for low accuracy work ..."
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nag_multid_quad_monte_carlo_1 (d01xbc) nag_multid_quad_monte_carlo_1 (d01xbc) evaluates an approximation to the integral of a function over a hyperrectangular region, using a Monte Carlo method. An approximate relative error estimate is also returned. This function is suitable for low accuracy
EXTERNAL
"... Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01GBF returns an approximation to the integral of a function over a hyperrectangular region, using a Mont ..."
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Note: before using this routine, please read the Users ’ Note for your implementation to check the interpretation of bold italicised terms and other implementationdependent details. 1 Purpose D01GBF returns an approximation to the integral of a function over a hyperrectangular region, using a
Distributed Numerical Integration Algorithms and Applications
, 2000
"... We describe the ParInt package for distributed numerical integration, its basic methods and architectural design as well as some applications, ongoing projects and future extensions. The evaluation of multivariate integrals over hyperrectangular regions is supported using adaptive subdivision or Qu ..."
Abstract

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We describe the ParInt package for distributed numerical integration, its basic methods and architectural design as well as some applications, ongoing projects and future extensions. The evaluation of multivariate integrals over hyperrectangular regions is supported using adaptive subdivision
EXTERNAL
"... Note: before using this routine, please read the Users ’ Note for your implementation to check for implementationdependent details. You are advised to enclose any calls to NAG Parallel Library routines between calls to Z01AAFP and Z01ABFP. 1 Description D01FAFP computes an approximation to an ndim ..."
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dimensional definite integral, b1 bn I = dx1... dxn f(x1,x2,...,xn) a1 an in up to 10 dimensions over a hyperrectangular region, using an adaptive subdivision strategy. The routine also returns an estimate of the absolute error. This routine is suitable for high accuracy work.
Results 11  20
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226