Results 171 to 180 of about 4,085 (219)

On Mendeleev’s quadrature formula

Computational Mathematics and Mathematical Physics, 2012
Summary: It is well known that D. I. Mendeleev was also an outstanding numerical mathematician, but few people know that he devised and frequently applied a quadrature formula, which can be named after him.
exaly   +2 more sources

Noninterpolatory Quadrature Formulas

SIAM Journal on Numerical Analysis, 1972
There are infinitely many formulas of the form \[\int_{ - 1}^1 {f(x)dx = a_{ - 1} f( - 1) + a_0 f(0) + a_1 (1) + b_{ - 1} f''( - 1)b_1 f''(1)} \] that are exact for quintic polynomials, although, in general, there is no interpolating quintic through the six pieces of data. On the other hand, there is no corresponding formula for \[\int_{0}^1 {f(x)dx} \]
Epstein, M. P., Hamming, R. W.
openaire   +2 more sources

On the Convergence of Quadrature Formulas

SIAM Journal on Numerical Analysis, 1971
Two fundamental theorems concerning quadratures are given here. The first theorem gives a constructive criterion for determining if a quadrature formula is convergent in the space of continuous functions on $[0,1]$ with maximum norm. The second theorem simply shows that Gregory’s method is convergent in the space of bounded Riemann integrable functions
Espinosa-Maldonado, Ruben J.   +1 more
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On Quadrature Formulas

Доклады Академии наук, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON QUADRATURE FORMULAS

Russian Academy of Sciences. Izvestiya Mathematics, 1995
See the review in Zbl 0836.41020.
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Gaussian interval quadrature formula

Numerische Mathematik, 2001
Let \(U_N=\{u_0,...,u_N\}, (V_N=\{1,v_1,...,v_N\})\) be a Chebyshev (Markov) system on the interval \([a,b],\) respectively. For a given set of ordered non-overlapping intervals \([c_k,d_k]\subseteq [a,b], k=1,...,n\) the authors consider the multiple node interval quadrature formula (with respect to \(V_N\)) \[ \int_a^b\mu(t)f(t)dt\approx \sum_{k=1}^n\
Borislav Bojanov, Petar Peynov Petrov
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ON THE ČEBYŠEV QUADRATURE FORMULA

Mathematics of the USSR-Izvestiya, 1969
In this paper we examine several weight functions for which the Cebysev quadrature formula is valid. A method is given in the general case by means of which the degree of precision of the formula may be estimated.
openaire   +1 more source

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