Givoli, Dan Dahlquist’s barriers and much beyond. (English) Zbl 07649260 J. Comput. Phys. 475, Article ID 111836, 19 p. (2023). MSC: 65Lxx 65Mxx 34Axx PDFBibTeX XMLCite \textit{D. Givoli}, J. Comput. Phys. 475, Article ID 111836, 19 p. (2023; Zbl 07649260) Full Text: DOI
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang On energy laws and stability of Runge-Kutta methods for linear seminegative problems. (English) Zbl 1502.65143 SIAM J. Numer. Anal. 60, No. 5, 2448-2481 (2022). Reviewer: Dana Černá (Liberec) MSC: 65M60 65L06 65M12 65L20 15A23 35B35 41A21 PDFBibTeX XMLCite \textit{Z. Sun} et al., SIAM J. Numer. Anal. 60, No. 5, 2448--2481 (2022; Zbl 1502.65143) Full Text: DOI arXiv
Bhrawy, A. H. An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. (English) Zbl 1339.65188 Appl. Math. Comput. 247, 30-46 (2014). MSC: 65M70 35L70 35Q55 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Appl. Math. Comput. 247, 30--46 (2014; Zbl 1339.65188) Full Text: DOI
Tian, Hongjiong; Yu, Quanhong; Jin, Cilai Continuous block implicit hybrid one-step methods for ordinary and delay differential equations. (English) Zbl 1243.65087 Appl. Numer. Math. 61, No. 12, 1289-1300 (2011). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 65L05 34A34 34K28 65L20 PDFBibTeX XMLCite \textit{H. Tian} et al., Appl. Numer. Math. 61, No. 12, 1289--1300 (2011; Zbl 1243.65087) Full Text: DOI
Attili, Basem S. An efficient fourth order implicit Runge-Kutta algorithm for second order systems. (English) Zbl 1166.65355 Kapur, Deepak (ed.), Computer mathematics. 8th Asian symposium, ASCM 2007, Singapore, December 15–17, 2007. Revised and invited papers. Berlin: Springer (ISBN 978-3-540-87826-1/pbk). Lecture Notes in Computer Science 5081. Lecture Notes in Artificial Intelligence, 169-178 (2008). MSC: 65L06 PDFBibTeX XMLCite \textit{B. S. Attili}, Lect. Notes Comput. Sci. 5081, 169--178 (2008; Zbl 1166.65355) Full Text: DOI
Attili, Basem S.; Furati, Khalid; Syam, Muhammed I. An efficient implicit Runge-Kutta method for second order systems. (English) Zbl 1100.65062 Appl. Math. Comput. 178, No. 2, 229-238 (2006). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{B. S. Attili} et al., Appl. Math. Comput. 178, No. 2, 229--238 (2006; Zbl 1100.65062) Full Text: DOI
Burrage, K.; Chipman, F. H. Efficiently implementable multivalue methods for solving stiff ordinary differential equations. (English) Zbl 0678.65049 Appl. Numer. Math. 5, No. 1-2, 23-40 (1989). Reviewer: G.Hall MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{K. Burrage} and \textit{F. H. Chipman}, Appl. Numer. Math. 5, No. 1--2, 23--40 (1989; Zbl 0678.65049) Full Text: DOI
Butcher, J. C.; Cash, J. R. Some recent developments on numerical initial value problems: A survey. (English) Zbl 0676.65090 Appl. Numer. Math. 5, No. 1-2, 3-18 (1989). Reviewer: J.H.Verner MSC: 65L20 65L05 65-02 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{J. R. Cash}, Appl. Numer. Math. 5, No. 1--2, 3--18 (1989; Zbl 0676.65090) Full Text: DOI
Iserles, Arieh; Nørsett, Syvert P. Order stars and rational approximants to exp(z). (English) Zbl 0674.65043 Appl. Numer. Math. 5, No. 1-2, 63-70 (1989). Reviewer: V.Mehrmann MSC: 65L05 41A21 34A34 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. P. Nørsett}, Appl. Numer. Math. 5, No. 1--2, 63--70 (1989; Zbl 0674.65043) 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
Iserles, Arieh; Nørsett, Syvert P. Error control of rational approximations to the exponential function. (English) Zbl 0597.41015 Constructive Approximation 2, 41-57 (1986). Reviewer: L.Leindler MSC: 41A20 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. P. Nørsett}, Constr. Approx. 2, 41--57 (1986; Zbl 0597.41015) Full Text: DOI
Iserles, Arieh; Nørsett, Syvert P. A-acceptability of derivatives of rational approximations to EXP(Z). (English) Zbl 0583.41017 J. Approximation Theory 43, 327-337 (1985). MSC: 41A20 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. P. Nørsett}, J. Approx. Theory 43, 327--337 (1985; Zbl 0583.41017) Full Text: DOI
Cash, J. R. The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae. (English) Zbl 0526.65052 Comput. Math. Appl. 9, 645-657 (1983). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{J. R. Cash}, Comput. Math. Appl. 9, 645--657 (1983; Zbl 0526.65052) Full Text: DOI
Bickart, Theodore A. P-stable and P[\(\alpha\),\(\beta]\)-stable integration/interpolation methods in the solution of retarded differential-difference equations. (English) Zbl 0531.65044 BIT 22, 464-476 (1982). Reviewer: R.S.Dahiya MSC: 65L05 34K05 PDFBibTeX XMLCite \textit{T. A. Bickart}, BIT 22, 464--476 (1982; Zbl 0531.65044) Full Text: DOI
Mihelcic, M.; Wingerath, K. A (alpha)-stable cyclic composite multistep methods of Orders 6 and 7 for numerical integration of stiff ordinary differential equations. (English) Zbl 0479.65043 Z. Angew. Math. Mech. 61, 261-264 (1981). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{M. Mihelcic} and \textit{K. Wingerath}, Z. Angew. Math. Mech. 61, 261--264 (1981; Zbl 0479.65043) Full Text: DOI
Epton, Michael A. Methods for the solution of AXD-BXC=E and its application in the numerical solution of implicit ordinary differential equations. (English) Zbl 0452.65015 BIT, Nord. Tidskr. Inf.-behandl. 20, 341-345 (1980). MSC: 65F05 15A24 15A18 65L05 PDFBibTeX XMLCite \textit{M. A. Epton}, BIT, Nord. Tidskr. Inf.-behandl. 20, 341--345 (1980; Zbl 0452.65015) Full Text: DOI
Rodabaugh, D. J.; Thompson, Skip Low-order \(A_0\)-stable Adams-type correctors. (English) Zbl 0423.65044 J. Comput. Appl. Math. 5, 225-233 (1979). MSC: 65L05 65L07 PDFBibTeX XMLCite \textit{D. J. Rodabaugh} and \textit{S. Thompson}, J. Comput. Appl. Math. 5, 225--233 (1979; Zbl 0423.65044) Full Text: DOI
Ueberhuber, C. W. Implementation of defect correction methods for stiff differential equations. (English) Zbl 0423.65042 Computing 23, 205-232 (1979). MSC: 65L05 PDFBibTeX XMLCite \textit{C. W. Ueberhuber}, Computing 23, 205--232 (1979; Zbl 0423.65042) Full Text: DOI
Serbin, Steven M. Rational approximations of trigonometric matrices with application to second-order systems of differential equations. (English) Zbl 0408.65047 Appl. Math. Comput. 5, 75-92 (1979). MSC: 65L05 41A21 68Q25 65M20 PDFBibTeX XMLCite \textit{S. M. Serbin}, Appl. Math. Comput. 5, 75--92 (1979; Zbl 0408.65047) Full Text: DOI
Einarsson, Bo Bibliography on the evaluation of numerical software. (English) Zbl 0399.65003 J. Comput. Appl. Math. 5, 145-159 (1979). MSC: 65-04 00A15 68N99 PDFBibTeX XMLCite \textit{B. Einarsson}, J. Comput. Appl. Math. 5, 145--159 (1979; Zbl 0399.65003) Full Text: DOI
Mihelcic, M. \(A(\alpha)\)-stable cyclic composite multistep methods of order 5. (English) Zbl 0398.65048 Computing 20, 267-272 (1978). MSC: 65L07 65L05 65J99 PDFBibTeX XMLCite \textit{M. Mihelcic}, Computing 20, 267--272 (1978; Zbl 0398.65048) Full Text: DOI
Bickart, T. A.; Jury, E. I. Arithmetic tests for \(A\)-stability, \(A[\alpha]\)-stability, and stiff- stability. (English) Zbl 0382.65035 BIT, Nord. Tidskr. Inf.-behandl. 18, 9-21 (1978). MSC: 65L07 65L05 PDFBibTeX XMLCite \textit{T. A. Bickart} and \textit{E. I. Jury}, BIT, Nord. Tidskr. Inf.-behandl. 18, 9--21 (1978; Zbl 0382.65035) Full Text: DOI
Iserles, Arieh A-acceptable exponentially fitted combinations of three Padé approximations. (English) Zbl 0379.65008 J. Comput. Appl. Math. 4, 143-146 (1978). MSC: 65D10 65D15 65D30 65L05 PDFBibTeX XMLCite \textit{A. Iserles}, J. Comput. Appl. Math. 4, 143--146 (1978; Zbl 0379.65008) Full Text: DOI
Albrecht, P. On the order of composite multistep methods for ordinary differential equations. (English) Zbl 0362.65061 Numer. Math. 29, 381-396 (1978). MSC: 65L05 PDFBibTeX XMLCite \textit{P. Albrecht}, Numer. Math. 29, 381--396 (1978; Zbl 0362.65061) Full Text: DOI EuDML
Ehle, Byron L. On certain order constrained Chebyshev rational approximations. (English) Zbl 0331.41015 J. Approximation Theory 17, 297-306 (1976). MSC: 41A20 41A50 PDFBibTeX XMLCite \textit{B. L. Ehle}, J. Approx. Theory 17, 297--306 (1976; Zbl 0331.41015) Full Text: DOI
Chipman, F. H. A note on implicit A-stable R-K methods with parameters. (English) Zbl 0328.65039 BIT, Nord. Tidskr. Inf.-behandl. 16, 223-225 (1976). MSC: 65L05 PDFBibTeX XMLCite \textit{F. H. Chipman}, BIT, Nord. Tidskr. Inf.-behandl. 16, 223--225 (1976; Zbl 0328.65039) Full Text: DOI
Jeltsch, Rolf Note on A-stability of multistep multiderivative methods. (English) Zbl 0321.65043 BIT, Nord. Tidskr. Inf.-behandl. 16, 74-78 (1976). MSC: 65L05 65J99 PDFBibTeX XMLCite \textit{R. Jeltsch}, BIT, Nord. Tidskr. Inf.-behandl. 16, 74--78 (1976; Zbl 0321.65043) Full Text: DOI
Ehle, Byron L.; Picel, Zdenek Two-parameter, arbitrary order, exponential approximations for stiff equations. (English) Zbl 0302.65059 Math. Comput. 29, 501-511 (1975). MSC: 65L05 41A20 30E10 PDFBibTeX XMLCite \textit{B. L. Ehle} and \textit{Z. Picel}, Math. Comput. 29, 501--511 (1975; Zbl 0302.65059) Full Text: DOI