Zlotnik, Alexander; Zlotnik, Ilya The high order method with discrete TBCs for solving the Cauchy problem for the 1D Schrödinger equation. (English) Zbl 1315.65088 Comput. Methods Appl. Math. 15, No. 2, 233-245 (2015). MSC: 65M60 35Q41 65M12 65M15 65M06 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{I. Zlotnik}, Comput. Methods Appl. Math. 15, No. 2, 233--245 (2015; Zbl 1315.65088) Full Text: DOI
Zlotnik, Alexander; Koltsova, Natalya A family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis. (English) Zbl 1393.65020 Comput. Methods Appl. Math. 13, No. 2, 119-138 (2013). MSC: 65M06 65M12 35K10 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{N. Koltsova}, Comput. Methods Appl. Math. 13, No. 2, 119--138 (2013; Zbl 1393.65020) Full Text: DOI arXiv
Zlotnik, A.; Kireeva, O. Error bounds for finite element methods with generalized cubic splines for a 4-th order ordinary differential equation with nonsmooth data. (English) Zbl 1188.65109 Comput. Methods Appl. Math. 9, No. 2, 203-218 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L70 65L10 65L60 34B05 65L20 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{O. Kireeva}, Comput. Methods Appl. Math. 9, No. 2, 203--218 (2009; Zbl 1188.65109) Full Text: DOI
Zlotnik, Alexander; Ilyicheva, Svetlana Sharp error bounds for a symmetrized locally 1D method for solving the 2D heat equation. (English) Zbl 1094.65094 Comput. Methods Appl. Math. 6, No. 1, 94-114 (2006). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M15 65M06 35K05 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{S. Ilyicheva}, Comput. Methods Appl. Math. 6, No. 1, 94--114 (2006; Zbl 1094.65094) Full Text: DOI
Zlotnik, A. On superconvergence of a gradient for finite element methods for an elliptic equation with the nonsmooth right-hand side. (English) Zbl 1015.65059 Comput. Methods Appl. Math. 2, No. 3, 295-321 (2002). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 35R05 65N30 65N12 PDFBibTeX XMLCite \textit{A. Zlotnik}, Comput. Methods Appl. Math. 2, No. 3, 295--321 (2002; Zbl 1015.65059) Full Text: DOI EMIS