Steyer, Andrew J.; Van Vleck, Erik S. A Lyapunov and Sacker-Sell spectral stability theory for one-step methods. (English) Zbl 1431.65092 BIT 58, No. 3, 749-781 (2018). Reviewer: Alois Steindl (Wien) MSC: 65L04 65L05 65P40 65L20 PDFBibTeX XMLCite \textit{A. J. Steyer} and \textit{E. S. Van Vleck}, BIT 58, No. 3, 749--781 (2018; Zbl 1431.65092) Full Text: DOI arXiv
Steyer, Andrew J.; Van Vleck, Erik S. Underlying one-step methods and nonautonomous stability of general linear methods. (English) Zbl 1398.65164 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2859-2877 (2018). MSC: 65L05 65L06 65L07 65P40 PDFBibTeX XMLCite \textit{A. J. Steyer} and \textit{E. S. Van Vleck}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2859--2877 (2018; Zbl 1398.65164) Full Text: DOI arXiv
Coulombel, Jean-François; Gloria, Antoine Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems. (English) Zbl 1308.65142 Math. Comput. 80, No. 273, 165-203 (2011). MSC: 65M06 35L04 65M12 PDFBibTeX XMLCite \textit{J.-F. Coulombel} and \textit{A. Gloria}, Math. Comput. 80, No. 273, 165--203 (2011; Zbl 1308.65142) Full Text: DOI
Ariel, Gil; Engquist, Bjorn; Tsai, Richard A multiscale method for highly oscillatory ordinary differential equations with resonance. (English) Zbl 1198.65110 Math. Comput. 78, No. 266, 929-956 (2009). MSC: 65L05 34E13 34E20 34C10 34C29 37M99 PDFBibTeX XMLCite \textit{G. Ariel} et al., Math. Comput. 78, No. 266, 929--956 (2009; Zbl 1198.65110) Full Text: DOI
Podhaisky, H.; Weiner, R.; Schmitt, B. A. Linearly-implicit two-step methods and their implementation in Nordsieck form. (English) Zbl 1089.65068 Appl. Numer. Math. 56, No. 3-4, 374-387 (2006). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{H. Podhaisky} et al., Appl. Numer. Math. 56, No. 3--4, 374--387 (2006; Zbl 1089.65068) Full Text: DOI
Engquist, Bjorn; Tsai, Yen-Hsi Heterogeneous multiscale methods for stiff ordinary differential equations. (English) Zbl 1081.65075 Math. Comput. 74, No. 252, 1707-1742 (2005). MSC: 65L20 65P20 37M20 65Y20 65L05 34A34 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{Y.-H. Tsai}, Math. Comput. 74, No. 252, 1707--1742 (2005; Zbl 1081.65075) Full Text: DOI
Podhaisky, H.; Weiner, R.; Schmitt, B. A. Rosenbrock-type ‘peer’ two-step methods. (English) Zbl 1072.65107 Appl. Numer. Math. 53, No. 2-4, 409-420 (2005). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65L06 65Y05 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{H. Podhaisky} et al., Appl. Numer. Math. 53, No. 2--4, 409--420 (2005; Zbl 1072.65107) Full Text: DOI
Jackiewicz, Z.; Podhaisky, H.; Weiner, R. Construction of highly stable two-step W-methods for ordinary differential equations. (English) Zbl 1049.65070 J. Comput. Appl. Math. 167, No. 2, 389-403 (2004). MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{Z. Jackiewicz} et al., J. Comput. Appl. Math. 167, No. 2, 389--403 (2004; Zbl 1049.65070) Full Text: DOI
Higham, Desmond J. Runge-Kutta stability on a Floquet problem. (English) Zbl 0816.65044 BIT 34, No. 1, 88-98 (1994). Reviewer: I.Coroian (Baia Mare) MSC: 65L06 65L05 65L20 34A34 37C10 PDFBibTeX XMLCite \textit{D. J. Higham}, BIT 34, No. 1, 88--98 (1994; Zbl 0816.65044) Full Text: DOI
Cooper, G. J.; Vignesvaran, R. On the use of parallel processors for implicit Runge-Kutta methods. (English) Zbl 0791.65053 Computing 51, No. 2, 135-150 (1993). Reviewer: W.Gander (Zürich) MSC: 65L06 65L05 34A34 34E13 PDFBibTeX XMLCite \textit{G. J. Cooper} and \textit{R. Vignesvaran}, Computing 51, No. 2, 135--150 (1993; Zbl 0791.65053) Full Text: DOI
Higham, Desmond J.; Trefethen, Lloyd N. Stiffness of ODEs. (English) Zbl 0782.65091 BIT 33, No. 2, 285-303 (1993). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 65L20 34A34 34E13 PDFBibTeX XMLCite \textit{D. J. Higham} and \textit{L. N. Trefethen}, BIT 33, No. 2, 285--303 (1993; Zbl 0782.65091) Full Text: DOI
Alexander, Roger The modified Newton method in the solution of stiff ordinary differential equations. (English) Zbl 0734.65060 Math. Comput. 57, No. 196, 673-701 (1991). Reviewer: M.Bartušek (Brno) MSC: 65L05 65H10 65L06 34A34 34E13 PDFBibTeX XMLCite \textit{R. Alexander}, Math. Comput. 57, No. 196, 673--701 (1991; Zbl 0734.65060) Full Text: DOI
Abrahamsson, Leif; Kreiss, Heinz-Otto Explicit methods for mildly stiff oscillatory systems. (English) Zbl 0743.65067 BIT 31, No. 4, 608-619 (1991). Reviewer: S.Filippi (Gießen) MSC: 65L06 65L05 65L20 65L70 34A34 65L50 PDFBibTeX XMLCite \textit{L. Abrahamsson} and \textit{H.-O. Kreiss}, BIT 31, No. 4, 608--619 (1991; Zbl 0743.65067) Full Text: DOI
Auzinger, W.; Frank, R.; Kirlinger, G. A note on convergence concepts for stiff problems. (English) Zbl 0719.65058 Computing 44, No. 3, 197-208 (1990). Reviewer: W.Auzinger MSC: 65L05 65L20 34E15 34A34 34E13 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Computing 44, No. 3, 197--208 (1990; Zbl 0719.65058) Full Text: DOI
Mattheij, R. M. M. On computing smooth solutions of problems with large Lipschitz constants. (English) Zbl 0599.65050 Appl. Numer. Math. 2, 119-134 (1986). Reviewer: M.Calvo MSC: 65L10 65L20 34B05 PDFBibTeX XMLCite \textit{R. M. M. Mattheij}, Appl. Numer. Math. 2, 119--134 (1986; Zbl 0599.65050) Full Text: DOI
Kreiss, H. O. Central difference schemes and stiff boundary value problems. (English) Zbl 0558.65057 BIT 24, 560-567 (1984). Reviewer: J.Oliver MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{H. O. Kreiss}, BIT 24, 560--567 (1984; Zbl 0558.65057) Full Text: DOI
O’Malley, Robert E. jun.; Anderson, Leonard R. Time-scale decoupling and order reduction for linear time-varying systems. (English) Zbl 0481.93013 Optim. Control Appl. Methods 3, 133-153 (1982). MSC: 93A15 93C05 93C99 93C15 65L05 15A18 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.} and \textit{L. R. Anderson}, Optim. Control Appl. Methods 3, 133--153 (1982; Zbl 0481.93013) Full Text: DOI
Verwer, Jan G. Instructive experiments with some Runge-Kutta-Rosenbrock methods. (English) Zbl 0481.65037 Comput. Math. Appl. 8, 217-229 (1982). MSC: 65L05 PDFBibTeX XMLCite \textit{J. G. Verwer}, Comput. Math. Appl. 8, 217--229 (1982; Zbl 0481.65037) Full Text: DOI
Kreiss, Heinz Otto; Parter, Seymour V. On the swirling flow between rotating coaxial disks, asymptotic behaviour. II. (English) Zbl 0489.76040 Proc. R. Soc. Edinb., Sect. A 90, 317-346 (1981). MSC: 76D05 76M99 35B40 PDFBibTeX XMLCite \textit{H. O. Kreiss} and \textit{S. V. Parter}, Proc. R. Soc. Edinb., Sect. A, Math. 90, 317--346 (1981; Zbl 0489.76040) Full Text: DOI
Verwer, J. G. On the practical value of the notion of BN-stability. (English) Zbl 0476.65055 BIT 21, 355-361 (1981). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{J. G. Verwer}, BIT 21, 355--361 (1981; Zbl 0476.65055) Full Text: DOI
Nevanlinna, Olavi; Odeh, F. Multiplier techniques for linear multistep methods. (English) Zbl 0469.65051 Numer. Funct. Anal. Optimization 3, 377-423 (1981). MSC: 65L05 65L20 65M20 35K20 PDFBibTeX XMLCite \textit{O. Nevanlinna} and \textit{F. Odeh}, Numer. Funct. Anal. Optim. 3, 377--423 (1981; Zbl 0469.65051) Full Text: DOI
Goldberg, Moshe; Tadmor, Eitan Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II. (English) Zbl 0466.65054 Math. Comput. 36, 603-626 (1981). MSC: 65N12 65M12 35L45 35L50 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{E. Tadmor}, Math. Comput. 36, 603--626 (1981; Zbl 0466.65054) Full Text: DOI
Shampine, L. F. Evaluation of implicit formulas for the solution of ODEs. (English) Zbl 0418.65034 BIT, Nord. Tidskr. Inf.-behandl. 19, 495-502 (1979). MSC: 65L05 PDFBibTeX XMLCite \textit{L. F. Shampine}, BIT, Nord. Tidskr. Inf.-behandl. 19, 495--502 (1979; Zbl 0418.65034) Full Text: DOI
Dahlquist, Germund G-stability is equivalent to A-stability. (English) Zbl 0413.65057 BIT, Nord. Tidskr. Inf.-behandl. 18, 384-401 (1978). MSC: 65L07 65L05 PDFBibTeX XMLCite \textit{G. Dahlquist}, BIT, Nord. Tidskr. Inf.-behandl. 18, 384--401 (1978; Zbl 0413.65057) Full Text: DOI
Goldberg, Moshe; Tadmor, Eitan Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. I. (English) Zbl 0397.65065 Math. Comput. 32, 1097-1107 (1978). MSC: 65M12 65N12 35L45 65M06 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{E. Tadmor}, Math. Comput. 32, 1097--1107 (1978; Zbl 0397.65065) Full Text: DOI
Goldberg, Moshe On a boundary extrapolation theorem by Kreiss. (English) Zbl 0359.65080 Math. Comput. 31, 469-477 (1977). MSC: 65M12 65M06 PDFBibTeX XMLCite \textit{M. Goldberg}, Math. Comput. 31, 469--477 (1977; Zbl 0359.65080) Full Text: DOI