Calvo, M.; Montijano, J. I.; Rández, L. A new stepsize change technique for Adams methods. (English) Zbl 1378.65144 Appl. Math. Nonlinear Sci. 1, No. 2, 547-558 (2016). MSC: 65L06 65L05 65L07 PDFBibTeX XMLCite \textit{M. Calvo} et al., Appl. Math. Nonlinear Sci. 1, No. 2, 547--558 (2016; Zbl 1378.65144) Full Text: DOI
Ibáñez, J. Javier; Hernández, Vicente; Ruiz, Pedro A.; Arias, Enrique A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs. (English) Zbl 1211.65091 J. Comput. Appl. Math. 235, No. 7, 1798-1804 (2011). MSC: 65L05 PDFBibTeX XMLCite \textit{J. J. Ibáñez} et al., J. Comput. Appl. Math. 235, No. 7, 1798--1804 (2011; Zbl 1211.65091) Full Text: DOI
Jackiewicz, Zdzisław General linear methods for ordinary differential equations. (English) Zbl 1211.65095 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-40855-1/hbk; 978-0-470-52216-5/ebook). xv, 482 p. (2009). Reviewer: R. K. Mohanty (Delhi) MSC: 65L06 34-01 65-02 34A34 65L05 65L20 65L70 65L60 65L50 PDFBibTeX XMLCite \textit{Z. Jackiewicz}, General linear methods for ordinary differential equations. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1211.65095) Full Text: DOI
Shawagfeh, N.; Kaya, D. Comparing numerical methods for the solutions of systems of ordinary differential equations. (English) Zbl 1061.65062 Appl. Math. Lett. 17, No. 3, 323-328 (2004). MSC: 65L05 65L60 65L06 34A30 34A34 PDFBibTeX XMLCite \textit{N. Shawagfeh} and \textit{D. Kaya}, Appl. Math. Lett. 17, No. 3, 323--328 (2004; Zbl 1061.65062) Full Text: DOI
Butcher, J. C. Numerical methods for ordinary differential equations in the 20th century. (English) Zbl 0969.65063 J. Comput. Appl. Math. 125, No. 1-2, 1-29 (2000). Reviewer: Dana Petcu (Timişoara) MSC: 65L05 65L06 01A60 65-03 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher}, J. Comput. Appl. Math. 125, No. 1--2, 1--29 (2000; Zbl 0969.65063) Full Text: DOI
Zamis, Thomas M.; Parkhurst, Lawrence J.; Gallup, Gordon A. A matrix series method for the integration of rate equations in a reaction network. An alternative to Runge-Kutta methods. (English) Zbl 0673.65038 Comput. Chem. 13, No. 3, 165-171 (1989). Reviewer: I.Dvořák MSC: 65L05 34A30 80A32 92Cxx 80A30 PDFBibTeX XMLCite \textit{T. M. Zamis} et al., Comput. Chem. 13, No. 3, 165--171 (1989; Zbl 0673.65038) Full Text: DOI
Fatunla, Simeon Ola New predictor corrector formulas for initial value problems in ordinary differential equations. (English) Zbl 0671.65050 Int. J. Comput. Math. 26, No. 3-4, 247-261 (1989). Reviewer: Z.Jackiewicz MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{S. O. Fatunla}, Int. J. Comput. Math. 26, No. 3--4, 247--261 (1989; Zbl 0671.65050) Full Text: DOI
Burrage, Kevin The dichotomy of stiffness: Pragmatism versus theory. (English) Zbl 0671.65048 Appl. Math. Comput. 31, Spec. Issue, 92-111 (1989). Reviewer: Z.Jackiewicz MSC: 65L05 65L20 65-02 34A34 PDFBibTeX XMLCite \textit{K. Burrage}, Appl. Math. Comput. 31, 92--111 (1989; Zbl 0671.65048) Full Text: DOI
Chan, Tony F.; Jackson, Kenneth R. The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs. (English) Zbl 0611.65050 SIAM J. Sci. Stat. Comput. 7, 378-417 (1986). Reviewer: M.Bartušek MSC: 65L05 65F10 34A34 PDFBibTeX XMLCite \textit{T. F. Chan} and \textit{K. R. Jackson}, SIAM J. Sci. Stat. Comput. 7, 378--417 (1986; Zbl 0611.65050) Full Text: DOI
Gupta, Gopal K.; Sacks-Davis, Ron; Tischer, Peter E. A review of recent developments in solving ODEs. (English) Zbl 0576.65071 Comput. Surv. 17, 5-47 (1985). Reviewer: E.Hairer MSC: 65L05 65-02 34-04 34A34 PDFBibTeX XMLCite \textit{G. K. Gupta} et al., Comput. Surv. 17, 5--47 (1985; Zbl 0576.65071)
Cash, J. R.; Lambrou, N. Blended extended linear multistep methods for the accurate numerical integration of stiff initial value problems. (English) Zbl 0576.65068 Appl. Numer. Math. 1, 195-216 (1985). Reviewer: J.H.Verner MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{J. R. Cash} and \textit{N. Lambrou}, Appl. Numer. Math. 1, 195--216 (1985; Zbl 0576.65068) Full Text: DOI
Zlatev, Zahari; Wasniewski, Jerzy; Schaumburg, Kjeld Exploiting the sparsity in the solution of linear ordinary differential equations. (English) Zbl 0576.65062 Comput. Math. Appl. 11, 1069-1087 (1985). MSC: 65L05 65F05 65L10 65L20 81V10 34A30 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., Comput. Math. Appl. 11, 1069--1087 (1985; Zbl 0576.65062) Full Text: DOI
Zlatev, Zahari Variable stepsize variable formula methods based on predictor-corrector schemes. (English) Zbl 0548.65059 Appl. Numer. Math. 1, 395-416 (1985). MSC: 65L05 65L20 92D40 PDFBibTeX XMLCite \textit{Z. Zlatev}, Appl. Numer. Math. 1, 395--416 (1985; Zbl 0548.65059) Full Text: DOI
Meek, P. C.; Norbury, J. Two-stage, two-level finite difference schemes for non-linear parabolic equations. (English) Zbl 0487.65050 IMA J. Numer. Anal. 2, 335-356 (1982). MSC: 65N06 35K60 65N12 65N15 PDFBibTeX XMLCite \textit{P. C. Meek} and \textit{J. Norbury}, IMA J. Numer. Anal. 2, 335--356 (1982; Zbl 0487.65050) Full Text: DOI
Gekeler, Eckart On the stability of backward differentiation methods. (English) Zbl 0483.65045 Numer. Math. 38, 467-471 (1982). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{E. Gekeler}, Numer. Math. 38, 467--471 (1982; Zbl 0483.65045) Full Text: DOI EuDML
Zlatev, Zahari Zero-stability properties of the three-ordinate variable stepsize variable formula methods. (English) Zbl 0475.65041 Numer. Math. 37, 157-166 (1981). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{Z. Zlatev}, Numer. Math. 37, 157--166 (1981; Zbl 0475.65041) Full Text: DOI EuDML
Fatunla, Simeon Ola Numerical integrators for stiff and highly oscillatory differential equations. (English) Zbl 0428.65048 Math. Comput. 34, 373-390 (1980). MSC: 65L05 65L07 65D10 PDFBibTeX XMLCite \textit{S. O. Fatunla}, Math. Comput. 34, 373--390 (1980; Zbl 0428.65048) Full Text: DOI
Brown, R. Leonard Stability analysis of nonlinear differential sequences generated numerically. (English) Zbl 0442.65064 Comput. Math. Appl. 5, 187-192 (1979). MSC: 65L05 65L07 65L20 34D20 PDFBibTeX XMLCite \textit{R. L. Brown}, Comput. Math. Appl. 5, 187--192 (1979; Zbl 0442.65064) Full Text: DOI
Skeel, Robert D. Equivalent forms of multistep formulas. (English) Zbl 0439.65058 Math. Comput. 33, 1229-1250 (1979). MSC: 65L05 PDFBibTeX XMLCite \textit{R. D. Skeel}, Math. Comput. 33, 1229--1250 (1979; Zbl 0439.65058) Full Text: DOI
Enright, W. H. Improving the efficiency of matrix operations in the numerical solution of stiff ordinary differential equations. (English) Zbl 0382.65029 ACM Trans. Math. Softw. 4, 127-136 (1978). MSC: 65L05 65F05 PDFBibTeX XMLCite \textit{W. H. Enright}, ACM Trans. Math. Softw. 4, 127--136 (1978; Zbl 0382.65029) Full Text: DOI