Semenova (Lebedeva) Evgeniya Viktorovna
Publications
Solodkiĭ, S. G.; Semenova, Ē. V. Approximation and information aspects of the numerical solution of unstable integral and pseudodifferential equations. (Ukrainian) Ukraïn. Mat. Zh. 70 (2018), no. 3, 429–444.
Pereverzyev S., Semenova E.V., Tkachenko P. Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind //
In book: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan,2018, pp.1017-1034
Solodky, Sergii G.; Myleiko, Ganna L. SemenovaE.V. Complexity estimates for severely ill-posed problems under a posteriori selection of regularization parameter //
Math. Model. Anal. 22 (2017), no. 3, 283–299
Semenova E.V., Erb W. On adaptive discretization schemes for the solution of ill-posed problems with semiiterative methods // Applicable Analysis --- 2015. --- V. 94, N 10. ---P. 2057-2076
Solodky S.G., Semenova E.V. About minimal informational efforts by solving exponentially ill-posed problems //Journal of Computational and Applied Mathematics. --- 2015. ---{\bf 119}, N2. ~---P. 90-100.
Semenova E.V. Arithmetical complexity of modified fully
discrete projection method for the periodic integral equations //
Journal of Computational and Applied Mathematics. --- 2015. ---{\bf 119}, N2. ~---P.60-77.
Solodky S.G., Semenova E.V.
On accuracy of solving Symm's equation by a fully discrete projection method //
Journal of Inverse and III-posed Problems ~-- 2013. ~-- {\bf 21}. ~---P. 781-797
Solodky S.G., Semenova E.V. On the optimal order of accuracy of an approximate solution to the Symm's integral equation //
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki 52 (3), 472-482
Semenova E.V. Lavrentiev regularization and balancing principle for solving monotone ill-posed problem // Computation Method and Applied Mathematic. --2010. - V. 10, no 4. --
Ñ.345--355.
Solodky S. G., Lebedeva E. V. On reduction of informational expenses at solving ill-posed problems with not exactly given coefficients // Journal of Inverse and Ill-Posed Problems -- 2008. -- V. 6, no 1. -- P. 87--93.
Lebedēva, Ē. V. On convergence conditions for a class of methods for solving ill-posed problems.(Ukrainian) // Ukraïn. Mat. Zh. 60 (2008), no. 6, 843--850
Semenova E.V. Fixed-point iteration method for Lavrentiev regularization in solving nonlinear ill-posed problems (Russian).// Din. Sist., Simferopol’ 28, 113–122 (2010).
Solodky S. G., Lebedeva E. V. An algorithm with optimal convergence rate for solving Fredholm equations of the first kind (Russian) // Numerical methods and Programming - 2006. - V. 7, no 6. --
P.243--250.
Article
Solodky S. G., Lebedeva E. V. Bounds of
information expenses in constructing projection methods for solving
ill-posed problems// Comp. Method Appl. Math. -- 2006. -- V. 6, no 1. -- P. 87--93.
Article
Solodky S. G., Lebedeva E. V. Error bounds of a fully discrete projection method for Symm's integral equation // Comp. Method Appl. Math. -- 2007.
-- V. 7, no 3. -- P. 255--263.
Article
Lebedeva, E. V.; Solodkiĭ, S. G. On the approximation of finite-interval equations by piecewise-constant functions. (Russian) // Zh. Vychisl. Mat. Mat. Fiz. 48 (2008), no. 5, 731--745; translation in Comput. Math. Math. Phys. 48 (2008), no. 5, 693–706
Solodkiĭ, S. G.; Lebedeva, E. V. On piecewise-constant discretization in the method of finite intervals. (Russian) // Dokl. Akad. Nauk 416 (2007), no. 1, 36--39; translation in Dokl. Math. 76 (2007), no. 2, 786–789
Pereverzyev S., Semenova E.V., Tkachenko P. Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind //
In book: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan,2018, pp.1017-1034
Solodky, Sergii G.; Myleiko, Ganna L. SemenovaE.V. Complexity estimates for severely ill-posed problems under a posteriori selection of regularization parameter //
Math. Model. Anal. 22 (2017), no. 3, 283–299
Semenova E.V., Erb W. On adaptive discretization schemes for the solution of ill-posed problems with semiiterative methods // Applicable Analysis --- 2015. --- V. 94, N 10. ---P. 2057-2076
Solodky S.G., Semenova E.V. About minimal informational efforts by solving exponentially ill-posed problems //Journal of Computational and Applied Mathematics. --- 2015. ---{\bf 119}, N2. ~---P. 90-100.
Semenova E.V. Arithmetical complexity of modified fully
discrete projection method for the periodic integral equations //
Journal of Computational and Applied Mathematics. --- 2015. ---{\bf 119}, N2. ~---P.60-77.
Solodky S.G., Semenova E.V.
On accuracy of solving Symm's equation by a fully discrete projection method //
Journal of Inverse and III-posed Problems ~-- 2013. ~-- {\bf 21}. ~---P. 781-797
Solodky S.G., Semenova E.V. On the optimal order of accuracy of an approximate solution to the Symm's integral equation //
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki 52 (3), 472-482
Semenova E.V. Lavrentiev regularization and balancing principle for solving monotone ill-posed problem // Computation Method and Applied Mathematic. --2010. - V. 10, no 4. --
Ñ.345--355.
Solodky S. G., Lebedeva E. V. On reduction of informational expenses at solving ill-posed problems with not exactly given coefficients // Journal of Inverse and Ill-Posed Problems -- 2008. -- V. 6, no 1. -- P. 87--93.
Lebedēva, Ē. V. On convergence conditions for a class of methods for solving ill-posed problems.(Ukrainian) // Ukraïn. Mat. Zh. 60 (2008), no. 6, 843--850
Semenova E.V. Fixed-point iteration method for Lavrentiev regularization in solving nonlinear ill-posed problems (Russian).// Din. Sist., Simferopol’ 28, 113–122 (2010).
Solodky S. G., Lebedeva E. V. An algorithm with optimal convergence rate for solving Fredholm equations of the first kind (Russian) // Numerical methods and Programming - 2006. - V. 7, no 6. --
P.243--250.
Article
Solodky S. G., Lebedeva E. V. Bounds of
information expenses in constructing projection methods for solving
ill-posed problems// Comp. Method Appl. Math. -- 2006. -- V. 6, no 1. -- P. 87--93.
Article
Solodky S. G., Lebedeva E. V. Error bounds of a fully discrete projection method for Symm's integral equation // Comp. Method Appl. Math. -- 2007.
-- V. 7, no 3. -- P. 255--263.
Article
Lebedeva, E. V.; Solodkiĭ, S. G. On the approximation of finite-interval equations by piecewise-constant functions. (Russian) // Zh. Vychisl. Mat. Mat. Fiz. 48 (2008), no. 5, 731--745; translation in Comput. Math. Math. Phys. 48 (2008), no. 5, 693–706
Solodkiĭ, S. G.; Lebedeva, E. V. On piecewise-constant discretization in the method of finite intervals. (Russian) // Dokl. Akad. Nauk 416 (2007), no. 1, 36--39; translation in Dokl. Math. 76 (2007), no. 2, 786–789