Vinogradova, P. V.; Samusenko, A. M.; Manzhula, I. S. Asymptotic estimate of a Petrov-Galerkin method for nonlinear operator-differential equation. (English) Zbl 1431.65076 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 4, 17-29 (2016). MSC: 65J08 65L60 65L20 PDFBibTeX XMLCite \textit{P. V. Vinogradova} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 4, 17--29 (2016; Zbl 1431.65076) Full Text: DOI MNR
Vinogradova, P. V.; Zarubin, A. G. Asymptotic estimates of a projection-difference method for an operator-differential equation. (English) Zbl 1284.65066 J. Numer. Math. 21, No. 3, 181-200 (2013). Reviewer: Peter Zabreiko (Minsk) MSC: 65J08 47E05 34G10 65M06 65M60 65M12 35K90 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, J. Numer. Math. 21, No. 3, 181--200 (2013; Zbl 1284.65066) Full Text: DOI
Vinogradova, P. V.; Zarubin, A. G. Asymptotic error estimates of a linearized projection-difference method for a differential equation with a monotone operator. (Russian, English) Zbl 1289.65135 Sib. Zh. Vychisl. Mat. 13, No. 4, 387-401 (2010); translation in Numer. Analysis Appl. 3, No. 4, 317-328 (2010). MSC: 65J08 34G20 35K90 65M60 65M15 65M12 65L60 65L20 65L70 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, Sib. Zh. Vychisl. Mat. 13, No. 4, 387--401 (2010; Zbl 1289.65135); translation in Numer. Analysis Appl. 3, No. 4, 317--328 (2010) Full Text: DOI
Vinogradova, P. V. On a numerical method for solving the Cauchy problem for an operator-differential equation. (Russian) Zbl 1240.65172 Sib. Zh. Ind. Mat. 13, No. 1, 34-45 (2010). MSC: 65J08 65J10 65M60 34G10 35K90 65M06 65M15 PDFBibTeX XMLCite \textit{P. V. Vinogradova}, Sib. Zh. Ind. Mat. 13, No. 1, 34--45 (2010; Zbl 1240.65172)
Vinogradova, P. V. Galerkin method for a nonstationary equation with a monotone operator. (English. Russian original) Zbl 1214.65025 Differ. Equ. 46, No. 7, 962-972 (2010); translation from Differ. Uravn. 46, No. 7, 955-965 (2010). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65J08 65M60 34G20 65J15 65L20 65L60 65M12 35K61 65M15 65L70 PDFBibTeX XMLCite \textit{P. V. Vinogradova}, Differ. Equ. 46, No. 7, 962--972 (2010; Zbl 1214.65025); translation from Differ. Uravn. 46, No. 7, 955--965 (2010) Full Text: DOI
Vinogradova, P. V.; Zarubin, A. G. Error estimates for the Galerkin method as applied to time-dependent equations. (Russian, English) Zbl 1199.65311 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 9, 1643-1651 (2009); translation in Comput. Math., Math. Phys. 49, No. 9, 1567-1575 (2009). MSC: 65M15 65M60 35K20 35K90 65J08 65M12 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 9, 1643--1651 (2009; Zbl 1199.65311); translation in Comput. Math., Math. Phys. 49, No. 9, 1567--1575 (2009) Full Text: DOI
Vinogradova, P. V. Error estimates for a projection-difference method for a linear differential-operator equation. (English. Russian original) Zbl 1177.65076 Differ. Equ. 44, No. 7, 970-979 (2008); translation from Differ. Uravn. 44, No. 7, 942-951 (2008). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65J08 65M15 65M06 35K90 34G10 47D06 PDFBibTeX XMLCite \textit{P. V. Vinogradova}, Differ. Equ. 44, No. 7, 970--979 (2008; Zbl 1177.65076); translation from Differ. Uravn. 44, No. 7, 942--951 (2008) Full Text: DOI
Vinogradova, P. V.; Zarubin, A. G. Projection-difference method for a linear operator-differential equation. (English. Russian original) Zbl 1176.65067 Differ. Equ. 43, No. 9, 1262-1270 (2007); translation from Differ. Uravn. 43, No. 9, 1230-1237 (2007). MSC: 65J08 47D06 65J10 65L05 34G10 65L12 65L20 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, Differ. Equ. 43, No. 9, 1262--1270 (2007; Zbl 1176.65067); translation from Differ. Uravn. 43, No. 9, 1230--1237 (2007) Full Text: DOI