Dikhaminjia, N.; Rogava, Jemal; Tsiklauri, M. Operator splitting for quasi-linear abstract hyperbolic equation. (English. Russian original) Zbl 1354.65185 J. Math. Sci., New York 218, No. 6, 737-741 (2016); translation from Sovrem. Mat. Prilozh. 97 (2015). MSC: 65M55 35L72 35L90 PDF BibTeX XML Full Text: DOI
Georgoulis, Emmanuil H.; Lakkis, Omar; Makridakis, Charalambos G.; Virtanen, Juha M. A posteriori error estimates for leap-frog and cosine methods for second order evolution problems. (English) Zbl 1331.65129 SIAM J. Numer. Anal. 54, No. 1, 120-136 (2016). MSC: 65M15 35L05 65M06 PDF BibTeX XML Cite \textit{E. H. Georgoulis} et al., SIAM J. Numer. Anal. 54, No. 1, 120--136 (2016; Zbl 1331.65129) Full Text: DOI arXiv
Rogava, J.; Tsiklauri, M. Convergence of a semi-discrete scheme for an abstract nonlinear second order evolution equation. (English) Zbl 1302.65139 Appl. Numer. Math. 75, 22-36 (2014). MSC: 65J08 65L06 74H45 74K10 74S20 PDF BibTeX XML Cite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Numer. Math. 75, 22--36 (2014; Zbl 1302.65139) Full Text: DOI
Dikhaminjia, N.; Rogava, J.; Tsiklauri, M. Construction and investigation of a fourth order of accuracy decomposition scheme for nonhomogeneous multidimensional hyperbolic equation. (English) Zbl 1288.65136 Numer. Funct. Anal. Optim. 35, No. 3, 275-293 (2014). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M55 65M12 65M15 35L90 PDF BibTeX XML Cite \textit{N. Dikhaminjia} et al., Numer. Funct. Anal. Optim. 35, No. 3, 275--293 (2014; Zbl 1288.65136) Full Text: DOI
Sövegjártó, A. Conservative spline methods for second-order IVPs of ODEs. (English) Zbl 0945.65072 Comput. Math. Appl. 38, No. 9-10, 135-141 (1999). MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{A. Sövegjártó}, Comput. Math. Appl. 38, No. 9--10, 135--141 (1999; Zbl 0945.65072) Full Text: DOI
Coleman, John P. Rational approximations for the cosine function; P-acceptability and order. (English) Zbl 0785.65093 Numer. Algorithms 3, No. 1-4, 143-158 (1992). Reviewer: M.Bartušek (Brno) MSC: 65L20 65L05 41A20 65D20 34A34 PDF BibTeX XML Cite \textit{J. P. Coleman}, Numer. Algorithms 3, No. 1--4, 143--158 (1992; Zbl 0785.65093) Full Text: DOI
Makridakis, Ch. G. Cosine methods for a class of semilinear second-order wave equations. (English) Zbl 0704.65068 Comput. Math. Appl. 19, No. 10, 19-34 (1990). Reviewer: S.Gocheva-Ilieva MSC: 65M12 65N12 35L70 65M15 65N15 PDF BibTeX XML Cite \textit{Ch. G. Makridakis}, Comput. Math. Appl. 19, No. 10, 19--34 (1990; Zbl 0704.65068) Full Text: DOI
Bales, Laurence A.; Karakashian, Ohannes A; Serbin, Steve M. On the stability of rational approximations to the cosine with only imaginary poles. (English) Zbl 0658.65017 BIT 28, No. 3, 652-658 (1988). Reviewer: Cui Dayong MSC: 65D20 41A20 65E05 30E10 PDF BibTeX XML Cite \textit{L. A. Bales} et al., BIT 28, No. 3, 652--658 (1988; Zbl 0658.65017) Full Text: DOI
Hoppe, Ronald H. W. Interpolation of cosine operator functions. (English) Zbl 0562.47035 Ann. Mat. Pura Appl., IV. Ser. 136, 183-212 (1984). MSC: 47D03 46M35 46E35 35G10 35K25 35D10 PDF BibTeX XML Cite \textit{R. H. W. Hoppe}, Ann. Mat. Pura Appl. (4) 136, 183--212 (1984; Zbl 0562.47035) Full Text: DOI
Dougalis, Vassilios A.; Serbin, Steven M. On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. (English) Zbl 0473.65075 Comput. Math. Appl. 7, 261-279 (1981). MSC: 65N30 65N15 35L20 PDF BibTeX XML Cite \textit{V. A. Dougalis} and \textit{S. M. Serbin}, Comput. Math. Appl. 7, 261--279 (1981; Zbl 0473.65075) Full Text: DOI
Serbin, Steven M. On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems. (English) Zbl 0456.73059 Comput. Math. Appl. 6, 251-263 (1980). MSC: 74S05 35L20 65N30 PDF BibTeX XML Cite \textit{S. M. Serbin}, Comput. Math. Appl. 6, 251--263 (1980; Zbl 0456.73059) Full Text: DOI
Dougalis, Vassilios A.; Serbin, Steven M. Some remarks on a class of rational approximations to the cosine. (English) Zbl 0425.65006 BIT, Nord. Tidskr. Inf.-behandl. 20, 204-211 (1980). MSC: 65D15 41A20 65L05 33B10 PDF BibTeX XML Cite \textit{V. A. Dougalis} and \textit{S. M. Serbin}, BIT, Nord. Tidskr. Inf.-behandl. 20, 204--211 (1980; Zbl 0425.65006) Full Text: DOI
Baker, Garth A.; Dougalis, Vassilios A.; Serbin, Steven M. High order accurate two-step approximations for hyperbolic equations. (English) Zbl 0411.65057 RAIRO, Anal. Numér. 13, 201-226 (1979). MSC: 65N06 65M06 35L15 35L20 PDF BibTeX XML Cite \textit{G. A. Baker} et al., RAIRO, Anal. Numér. 13, 201--226 (1979; Zbl 0411.65057) Full Text: DOI EuDML