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Quadrature Rules with Multiple Nodes
2016In this paper a brief historical survey of the development of quadrature rules with multiple nodes and the maximal algebraic degree of exactness is given. The natural generalization of such rules are quadrature rules with multiple nodes and the maximal degree of exactness in some functional spaces that are different from the space of algebraic ...
Gradimir V. Milovanović +1 more
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A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates
Axioms, 2023Rania Saadeh +2 more
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Forming a mixed quadrature rule using an anti-gaussian quadrature rule
Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 2017Bibhu Prasad Singh, Rajani Ballav Dash
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quadrature rules on unbounded intervals
2004After some remarks on the convergence order of the classical gaussian formula for the numerical evaluation of integrals on unbounded interval, the authors develop a new quadrature rule for the approximation of such integrals of interest in the practical applications.
M.R. Capobianco, G. Criscuolo
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On Generating Gaussian Quadrature Rules
1979Given a mass distribution dσ(x) on the (finite or infinite) interval (a,b), where σ(x) has at least n+1 points of increase, and assuming the existence of the first 2n moments of dσ(x), $${\mu _k} = \int_a^b {{x^k}} d\sigma (x),\;\;\;\;k = 0,1,2,...,2n - 1$$ (1.1) it is well known that the n-point Gaussian quadrature rule associated with the ...
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