Numerical integration

Known as: Quadrature rules, Integral approximation, Integration point 
In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and… (More)
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Highly Cited
2006
Highly Cited
2006
This paper proposes a numerical-integration perspective on the Gaussian filters. A Gaussian filter is approximation of the… (More)
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Highly Cited
1997
Highly Cited
1997
It was shown in Chapter 5 how the application of the laws of dynamics to constrained multibody systems leads to a set of… (More)
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Highly Cited
1997
Highly Cited
1997
­z ­t 5 J(z, c), (2) The integral constraints on quadratic quantities of physical importance, such as conservation of mean… (More)
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Highly Cited
1996
Highly Cited
1996
Draft chapter prepared for Handbook of Computational Economics, edited by Hans Amman, David Kendrick, and John Rust; to be… (More)
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Highly Cited
1996
Highly Cited
1996
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  • 1996
Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods… (More)
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Highly Cited
1995
Highly Cited
1995
Differential equations of the form ẋ = X = A+B are considered, where the vector fields A and B can be integrated exactly… (More)
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Highly Cited
1991
Highly Cited
1991
This paper is concerned with the problem of developing numerical integration algorithms for differential equations that, when… (More)
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Review
1986
Review
1986
The study of numerical integration dates from antiquity right up to the present. It is an important topic in numerical analysis… (More)
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Highly Cited
1979
Highly Cited
1979
A procedure for numerical integration of a stochastic differential equation, by extension of the Runge-Kutta method, is presented… (More)
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Highly Cited
1977
Highly Cited
1977
A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints… (More)
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