Differential Equations - We derive a quadrature formula for the double layer potential with a differentiable density given on a smooth closed or open surface. Numerical tests show that this formula...doi:10.1134/S0012266122080122Krutitskii, P. A....
quadrature signalwatt balanceIn the previous work [1], the results of mathematical modeling of the optical scheme of a single-pass homodyne displacement interferometer with the quadrature principle of phase recording have been presented. The interferometer has been built according to the...
This provides a very fast convergence of the quadratures. Simple approximations of the Fermi−Dirac functions of the integer and half-integer indices with an accuracy better than 1% are constructed; these approximations are convenient for physical estimates. In passing, asymptotic ...
Gaussian quadrature formulafitted operator methodlinear interpolationNumerical Analysis and Applications - In this manuscript, a new exponentially fitted operator strategy for solving a singularly perturbed parabolic partial differential equation with a right......
quadrature formulasNumerical Analysis and Applications - This paper is devoted to constructing quadrature formulas for evaluating singular and hypersingular integrals. For evaluating integrals with weights...doi:10.1134/S199542392203003XBoikov, I. V
Erratum to: On a Method of Constructing Quadrature Formulas for Computing Hypersingular IntegralsNumerical Analysis and Applications - An Erratum to this paper has been published: https://doi.org/10.1134/S1995423922040115doi:10.1134/S1995423922040115I. V. Boikov...
Regularization of the Procedure for Inverting the Laplace Transform Using Quadrature Formulassystem of linear algebraic equationsintegral equations of the first kindill-posed problemsill-conditioned problemscondition numberoscillation matricesregularization method...