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Ryabov, Viktor Mikhailovich

Statistics Math-Net.Ru
Total publications: 11
Scientific articles: 11

Number of views:
This page:828
Abstract pages:2436
Full texts:915
References:218
Professor
Doctor of physico-mathematical sciences (1991)
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.

Biography

Graduated from Faculty of Mathematics and Mechanics of St. Petersburg State University (SPSU) in 1961 (department of computational mathematics). Ph.D. thesis was defended in 1975. D.Sci. thesis was defended in 1991. A list of my works contains more than 100 titles.

   
Main publications:
  • Ryabov V. M. Priblizhennoe vychislenie preobrazovaniya Fure i ego obrascheniya. Metody vychislenii // Vyp. 18. SPb. 1999. 187–195.
  • Ryabov V. M. Nekotorye svoistva kvadraturnykh formul naivysshei stepeni tochnosti chislennogo obrascheniya preobrazovaniya Laplasa // Vestnik SPbGU, 2000, # 1, 68–73.

http://www.mathnet.ru/eng/person17570
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198195

Publications in Math-Net.Ru
2018
1. V. M. Ryabov, I. G. Burova, M. A. Kalnitskaya, A. V. Malevich, A. V. Lebedeva, A. N. Borzykh, “On numerical solution of systems of linear algebraic equations with ill-conditioned matrices”, Meždunar. nauč.-issled. žurn., 2018, 12(78),  13–17  mathnet
2017
2. A. V. Lebedeva, V. M. Ryabov, “On the construction of quadrature rules for Laplace transform inversion”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1782–1787  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1751–1756  isi  scopus
2015
3. A. V. Lebedeva, V. M. Ryabov, “On integration contour deformation in a Laplace transform inversion formula”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015),  1118–1124  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:7 (2015), 1103–1109  isi  elib  scopus
2012
4. A. V. Lebedeva, V. M. Ryabov, “Special quadrature rules for Laplace transform inversion”, Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2133–2139  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:12 (2012), 1597–1602  isi  elib  scopus
2009
5. M. M. Kabardov, V. M. Ryabov, “Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009),  601–610  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 49:4 (2009), 579–588  isi  scopus
2006
6. V. M. Ryabov, “On quadratures related to Padé approximants for the inversion of the Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  771–780  mathnet  mathscinet; Comput. Math. Math. Phys., 46:5 (2006), 733–742  scopus
2004
7. V. M. Ryabov, “Jump determination for an original function by using its Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 44:5 (2004),  777–785  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:5 (2004), 732–739
1996
8. V. M. Ryabov, “Quadrature formulae for evaluating singular integrals of oscillating functions”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  39–44  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:8 (1996), 1011–1015  isi
1989
9. V. M. Ryabov, “The properties of quadrature formulas of the highest accuracy used for Laplace transform inversion”, Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1083–1087  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 83–86
10. V. M. Ryabov, “The properties of quadrature formulae used for the inversion of Laplace transforms”, Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  941–944  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 207–209
1973
11. M. K. Gavurin, V. M. Ryabov, “Application of Chebyshev polynomials to the regularization of ill-posed and ill-conditioned equations in Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973),  1599–1601  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:6 (1973), 283–287

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