30 citations · 31 across the 2 of their papers we have counts for
7 papers
Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method
Samad Noeiaghdam, Denis Sidorov, Valery Sizikov
Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA)…
Discrete Spectrum Reconstruction using Integral Approximation Algorithm
Valery Sizikov, Denis Sidorov
An inverse problem in spectroscopy is considered. The objective is to restore the discrete spectrum from observed spectrum data, taking into account the spectrometer's line spread…
Bars and spheroids in gravimetry problem
Valery Sizikov, Vadim Evseev
The direct gravimetry problem is solved by dividing each deposit body into a set of vertical adjoining bars, whereas in the inverse problem, each deposit body is modelled by a homo…
A New Version of a Posteriori Choosing Regularization Parameter in Ill-Posed Problems
V. S. Sizikov
The new version of a posteriori choice (NVAC) of the regularization parameter in the classical Tikhonov regularization method is considered. Lemmas and theorems on the error and th…
Method of training examples in solving inverse ill-posed problems of spectroscopy
V. S. Sizikov, A. V. Stepanov
Further development of the method of computational experiments for solving ill-posed problems is given. The effective (unoverstated) estimate for solution error of the first-kind e…
Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography
Valery Sizikov, Denis Sidorov
We propose the generalized quadrature methods for numerical solution of singular integral equation of Abel type. We overcome the singularity using the analytical calculation of the…