Makarov, V. L.; Mayko, N. V. Weighted estimates of the Cayley transform method for boundary value problems in a Banach space. (English) Zbl 1467.65057 Numer. Funct. Anal. Optim. 42, No. 2, 211-233 (2021). MSC: 65J10 65L10 65T40 65Y20 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{N. V. Mayko}, Numer. Funct. Anal. Optim. 42, No. 2, 211--233 (2021; Zbl 1467.65057) Full Text: DOI arXiv
Gavrilyuk, I. P.; Makarov, V. L.; Sytnyk, D. O.; Vasylyk, V. B. Exponentially convergent method for the \(m\)-point nonlocal problem for a first order differential equation in Banach space. (English) Zbl 1193.65080 Numer. Funct. Anal. Optim. 31, No. 1, 1-21 (2010). MSC: 65J08 34G10 47D06 65J10 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} et al., Numer. Funct. Anal. Optim. 31, No. 1, 1--21 (2010; Zbl 1193.65080) Full Text: DOI
Gavrilyuk, Ivan P.; Makarov, Vladimir L. Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. (English) Zbl 0939.65085 Numer. Funct. Anal. Optimization 20, No. 7-8, 695-715 (1999). Reviewer: Gunther Schmidt (Berlin) MSC: 65J10 34G10 65N15 65N35 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Numer. Funct. Anal. Optim. 20, No. 7--8, 695--715 (1999; Zbl 0939.65085) Full Text: DOI Link
Gavrilyuk, Ivan P.; Makarov, Vladimir L. Explicit and approximate solutions of a class of evolution problems in Hilbert space. (English) Zbl 0853.65056 Numer. Funct. Anal. Optimization 17, No. 1-2, 65-75 (1996). Reviewer: W.H.Schmidt (Greifswald) MSC: 65J15 34G20 35R20 68W30 47J25 47H20 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Numer. Funct. Anal. Optim. 17, No. 1--2, 65--75 (1996; Zbl 0853.65056) Full Text: DOI Link
Gavrilyuk, Ivan P.; Makarov, Vladimir L. The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space. (English) Zbl 0802.47049 Numer. Funct. Anal. Optimization 15, No. 5-6, 583-598 (1994). MSC: 47F05 47E05 47D06 35K05 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Numer. Funct. Anal. Optim. 15, No. 5--6, 583--598 (1994; Zbl 0802.47049) Full Text: DOI