Speciality:
01.01.07; 01.02.04 (Computing mathematics; Mechanics of deformable solids)
Birth date:
27.04.1939
E-mail: Keywords: integral tranforms; integral transforms' inversion; Laplace transform; Fourier transform; quadrature formulas; ill-posed problems.
Subject:
Convergence for quadrature formulas of highest degree of precision with increasing number of nodes that are used for the numerical Laplace transform inversion and generated delta-like kernels are investigated. Methods of evaluation for the jumps of inverse transform and his derivatives by means of quadrature formulas are proposed. Methods of quadrature formulas' construction for the Laplace transform numerical inversion by using PC are also proposed. Methods of inversion that use the Laguerre functions are developed.
Main publications:
Ryabov V. M. Priblizhennoe vychislenie preobrazovaniya Fure i ego obrascheniya. Metody vychislenii // Vyp. 18. SPb. 1999. 187–195.
