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Numerical integration of the Cartesian equations of motion of a system with constraints: molecular dynamics of nalkanes
 J. Comput. Phys
, 1977
"... A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated. The relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration. The method ..."
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Cited by 682 (6 self)
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A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated. The relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration. The method
Numerical Integration
 In Encyclopedia of Biostatistics
, 1997
"... This article describes classical quadrature methods and, more briefly, some of the more advanced methods for which software is widely available. The description of the elementary methods in this article borrows from introductory notes by Stewart [31]. An excellent general reference on numerical inte ..."
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Cited by 1 (0 self)
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integration is [5]. More recent material can be found in [8] and [29]. Recent surveys of numerical integration with emphasis on statistical methods and applications are [10] and [9].
Numerical Integration of Stochastic Differential Equations
, 1995
"... Abstract. We propose a new concept which allows us to apply any numerical method of weak approximation to a very broad class of stochastic differential equations (SDEs) with nonglobally Lipschitz coefficients. Following this concept, we discard the approximate trajectories which leave a sufficiently ..."
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Cited by 191 (12 self)
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Abstract. We propose a new concept which allows us to apply any numerical method of weak approximation to a very broad class of stochastic differential equations (SDEs) with nonglobally Lipschitz coefficients. Following this concept, we discard the approximate trajectories which leave a
to numerical integration By
"... In this paper we propose special strategies to compute 1D integrals of functions having weakly or strong singularities at the endpoints of the interval of integration or complex poles close to the domain of integration. As application of the proposed strategies, we compute a four dimensional integra ..."
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integral arising from 3D Galerkin boundary element methods (BEM) applied to hypersingular boundary integral equations. In the computation of integrals and in the numerical solution of integral equations, one often has to deal with the numerical integration of functions with endpoint weak singularities
Numerical Integration
"... Introduction After transformation to a canonical element\Omega 0 , typical integrals in the element stiffness or mass matrices (cf. (5.5.8)) have the forms Q = ZZ \Omega 0 ff(; j)N s N T t det(J e )ddj; (6.1.1a) where ff(; j) depends on the coefficients of the partial differential equation an ..."
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Cited by 2 (0 self)
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Introduction After transformation to a canonical element\Omega 0 , typical integrals in the element stiffness or mass matrices (cf. (5.5.8)) have the forms Q = ZZ \Omega 0 ff(; j)N s N T t det(J e )ddj; (6.1.1a) where ff(; j) depends on the coefficients of the partial differential equation
and Numerical Integration
, 2002
"... I am submitting herewith a thesis written by Malachi Schram entitled ”Imple ..."
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I am submitting herewith a thesis written by Malachi Schram entitled ”Imple
Time Varying World Market Integration
 Journal of Finance
, 1995
"... We propose a measure of capital market integration arising from a conditional regimeswitching model. Our measure allows us to describe expected returns in countries that are segmented from world capital markets in one part of the sample and become integrated later in the sample. We find that a numb ..."
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Cited by 527 (39 self)
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We propose a measure of capital market integration arising from a conditional regimeswitching model. Our measure allows us to describe expected returns in countries that are segmented from world capital markets in one part of the sample and become integrated later in the sample. We find that a
Integrating classification and association rule mining
 In Proc of KDD
, 1998
"... Classification rule mining aims to discover a small set of rules in the database that forms an accurate classifier. Association rule mining finds all the rules existing in the database that satisfy some minimum support and minimum confidence constraints. For association rule mining, the target of di ..."
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Cited by 561 (21 self)
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of discovery is not predetermined, while for classification rule mining there is one and only one predetermined target. In this paper, we propose to integrate these two mining techniques. The integration is done by focusing on mining a special subset of association rules, called class association rules (CARs
Numerical Integration using Sparse Grids
 NUMER. ALGORITHMS
, 1998
"... We present and review algorithms for the numerical integration of multivariate functions defined over ddimensional cubes using several variants of the sparse grid method first introduced by Smolyak [51]. In this approach, multivariate quadrature formulas are constructed using combinations of tensor ..."
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Cited by 82 (16 self)
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We present and review algorithms for the numerical integration of multivariate functions defined over ddimensional cubes using several variants of the sparse grid method first introduced by Smolyak [51]. In this approach, multivariate quadrature formulas are constructed using combinations
Results 1  10
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1,495,742