Results 61 to 70 of about 113 (109)

Curve of Growth Polarization. [PDF]

open access: yesProc Natl Acad Sci U S A, 1951
Warwick JW.
europepmc   +1 more source

On Simpson's formula of cubature [PDF]

open access: yesAnnales Polonici Mathematici, 1959
openaire   +1 more source

AN ASYMPTOTICALLY OPTIMAL CUBATURE FORMULA [PDF]

open access: yesProceedings of the Academy of Sciences of the Estonian SSR. Physics. Mathematics, 1978
M. Levin, J. Giršovitš
openaire   +1 more source

Multivariate Gaussian cubature formulae

Archiv Der Mathematik, 1995
Gaussian quadrature can be briefly described as follows: There is a one- parameter family of minimal formulae of degree \(2n-2\) the nodes of which are the roots of \(p_ n+ \rho p_{n-1}\), \(\rho\neq 0\), where \(\{p_ n\}_{n=0}^ \infty\), denotes the system of orthogonal polynomials w.r.t.
Berens, H., Schmid, H. J., Xu, Y.
exaly   +3 more sources

Compound cubature formulas on a lattice

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023
In the present paper lattice optimal cubature formulas are constructed by the variational method in the Sobolev space. In addition, the square of the norm of the error functional of the constructed lattice optimal cubature formulas in the conjugate Sobolev space is explicitly calculated.
Shadimetov, Kh. M., Mamatova, N. Kh.
openaire   +1 more source

Multidimensional Cubature Formulas with Superpower Convergence

Doklady Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belov A.A., Tintul M.A.
openaire   +1 more source

The construction of cubature formulae by continuation

Computing, 1990
A cubature formula Q is an approximation of an n-dimensional integral I. Q is exact for the space spanned by the polynomials \(f_ 1,...,f_ d\) if it verifies the system of equations: \(Q[f_ i]=I[f_ i]\quad i=1,...,d.\) The unknowns are knots and weights of the cubature formula. We suppose that there are as many unknowns as equations.
Pierre Verlinden, Ann Haegemans
openaire   +1 more source

Bivariate Cardinal Interpolation and Cubature Formulas

SIAM Journal on Numerical Analysis, 1975
We introduce a bivariate cardinal interpolation series for a function $f(x,u)$ analogous to the Whittaker’s cardinal function. Under suitable conditions on f, we establish the convergence of the bivariate cardinal series; and under additional conditions, the convergence of the cardinal series to f.
Chawla, M. M., Jayarajan, N.
openaire   +2 more sources

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