Liu, Ru; Piskarev, Sergey Well-posedness and approximation for nonhomogeneous fractional differential equations. (English) Zbl 1482.65148 Numer. Funct. Anal. Optim. 42, No. 6, 619-643 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{R. Liu} and \textit{S. Piskarev}, Numer. Funct. Anal. Optim. 42, No. 6, 619--643 (2021; Zbl 1482.65148) Full Text: DOI
Liu, Ru; Li, Miao; Piskarev, Sergey The order of convergence of difference schemes for fractional equations. (English) Zbl 1379.65072 Numer. Funct. Anal. Optim. 38, No. 6, 754-769 (2017). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M12 65M06 65M20 35K90 65M15 35R11 PDFBibTeX XMLCite \textit{R. Liu} et al., Numer. Funct. Anal. Optim. 38, No. 6, 754--769 (2017; Zbl 1379.65072) Full Text: DOI
Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. (English) Zbl 1329.65111 Numer. Funct. Anal. Optim. 35, No. 10, 1287-1307 (2014). Reviewer: Angela Handlovičová (Bratislava) MSC: 65J08 65M15 65M06 65M60 PDFBibTeX XMLCite \textit{Q. Cao} et al., Numer. Funct. Anal. Optim. 35, No. 10, 1287--1307 (2014; Zbl 1329.65111) Full Text: DOI
Burrage, K.; Van Casteren, J.; Piskarev, S. Stochastic regularization method for backward Cauchy problem in Banach spaces. (English) Zbl 1242.65107 Numer. Funct. Anal. Optim. 32, No. 10, 1019-1040 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65J08 35K90 47D06 35R25 65M12 65J10 65J20 34G10 65M20 PDFBibTeX XMLCite \textit{K. Burrage} et al., Numer. Funct. Anal. Optim. 32, No. 10, 1019--1040 (2011; Zbl 1242.65107) Full Text: DOI
Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. (English) Zbl 1140.65073 Numer. Funct. Anal. Optim. 29, No. 1-2, 43-65 (2008). MSC: 65N06 65J10 47F05 35J25 47C10 PDFBibTeX XMLCite \textit{A. Ashyralyev} et al., Numer. Funct. Anal. Optim. 29, No. 1--2, 43--65 (2008; Zbl 1140.65073) Full Text: DOI
Piskarev, Sergey; Zwart, Hans Crank-Nicolson scheme for abstract linear systems. (English) Zbl 1151.65048 Numer. Funct. Anal. Optim. 28, No. 5-6, 717-736 (2007). MSC: 65J10 65L12 34G10 46N20 46N40 47D07 PDFBibTeX XMLCite \textit{S. Piskarev} and \textit{H. Zwart}, Numer. Funct. Anal. Optim. 28, No. 5--6, 717--736 (2007; Zbl 1151.65048) Full Text: DOI
Carvalho, Alexandre N.; Piskarev, Sergey A general approximation scheme for attractors of abstract parabolic problems. (English) Zbl 1110.35012 Numer. Funct. Anal. Optimization 27, No. 7-8, 785-829 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B41 35B40 35K90 PDFBibTeX XMLCite \textit{A. N. Carvalho} and \textit{S. Piskarev}, Numer. Funct. Anal. Optim. 27, No. 7--8, 785--829 (2006; Zbl 1110.35012) Full Text: DOI
Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. (English) Zbl 1022.65095 Numer. Funct. Anal. Optimization 23, No. 7-8, 669-693 (2002). Reviewer: Emil Minchev (Chiba) MSC: 65M06 35K90 PDFBibTeX XMLCite \textit{A. Ashyralyev} et al., Numer. Funct. Anal. Optim. 23, No. 7--8, 669--693 (2002; Zbl 1022.65095) Full Text: DOI
Guidetti, Davide; Piskarev, Sergei Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in \(C^{\theta} (\overline{\Omega})\) spaces. (English) Zbl 0938.65114 Numer. Funct. Anal. Optimization 20, No. 3-4, 251-277 (1999). Reviewer: L.G.Vulkov (Russe) MSC: 65M12 65M06 35K15 PDFBibTeX XMLCite \textit{D. Guidetti} and \textit{S. Piskarev}, Numer. Funct. Anal. Optim. 20, No. 3--4, 251--277 (1999; Zbl 0938.65114) Full Text: DOI