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Free Vibration Analysis of Thin Functionally Graded Plate Bands with Microstructure as a Function of Material Inhomogeneity Distribution and Boundary Conditions. [PDF]
Materials (Basel)Jędrysiak J, Kaźmierczak-Sobińska M.
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Characterizing Subsurface Environments Using Borehole Magnetic Gradiometry. [PDF]
Sensors (Basel)Asgharzadeh MF +3 more
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A time-domain Runge-Kutta dual reciprocity boundary element method for scalar wave propagation problem. [PDF]
Sci RepZhou F +6 more
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Vem++, a c++ library to handle and play with the Virtual Element Method
Dassi F.
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Noninterpolatory Quadrature Formulas
SIAM Journal on Numerical Analysis, 1972There 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.
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Russian Academy of Sciences. Izvestiya Mathematics, 1995
See the review in Zbl 0836.41020.
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See the review in Zbl 0836.41020.
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Доклады Академии наук, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Mendeleev’s quadrature formula
Computational Mathematics and Mathematical Physics, 2012Summary: 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.
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BIT, 1973
The problem of finding optimal quadrature formulas of given precision which minimize the sum of the absolute values of the quadrature weights is discussed and some optimal predictor and corrector type quadrature formulas are listed. Alternative derivation of minimum variance and Sard's optimal quadrature formulas is also given.
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The problem of finding optimal quadrature formulas of given precision which minimize the sum of the absolute values of the quadrature weights is discussed and some optimal predictor and corrector type quadrature formulas are listed. Alternative derivation of minimum variance and Sard's optimal quadrature formulas is also given.
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