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. A class of fully discrete approximations for the first order differential equations in Banach spaces with uniform estimates on the whole of \(\mathbb{R}^+\). (English) Zbl 0961.65052 Numer. Funct. Anal. Optimization 20, No. 7-8, 675-693 (1999). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J10 35K15 65M60 65M15 34G10 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk}, Numer. Funct. Anal. Optim. 20, No. 7--8, 675--693 (1999; Zbl 0961.65052) Full Text: DOI
Gavrilyuk, Ivan P. An algorithmic representation of fractional powers of positive operators. (English) Zbl 0860.47011 Numer. Funct. Anal. Optimization 17, No. 3-4, 293-305 (1996). MSC: 47A60 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk}, Numer. Funct. Anal. Optim. 17, No. 3--4, 293--305 (1996; Zbl 0860.47011) Full Text: DOI
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
Arov, Damir Z.; Gavrilyuk, Ivan P. A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. (English) Zbl 0798.34064 Numer. Funct. Anal. Optimization 14, No. 5-6, 459-473 (1993). Reviewer: E.Barvínek (Brno) MSC: 34G10 65J99 34C20 PDFBibTeX XMLCite \textit{D. Z. Arov} and \textit{I. P. Gavrilyuk}, Numer. Funct. Anal. Optim. 14, No. 5--6, 459--473 (1993; Zbl 0798.34064) Full Text: DOI