Yang, Kai High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain. (English) Zbl 07708336 J. Sci. Comput. 96, No. 2, Paper No. 35, 27 p. (2023). MSC: 35Q53 35L65 65M70 65M06 65L06 65N35 44A15 PDFBibTeX XMLCite \textit{K. Yang}, J. Sci. Comput. 96, No. 2, Paper No. 35, 27 p. (2023; Zbl 07708336) Full Text: DOI arXiv
Shiralizadeh, Mansour; Alipanah, Amjad; Mohammadi, Maryam A numerical method for KdV equation using rational radial basis functions. (English) Zbl 1524.65685 Comput. Methods Differ. Equ. 11, No. 2, 303-318 (2023). MSC: 65M70 65M06 65L06 65N35 65D25 65D12 35Q53 PDFBibTeX XMLCite \textit{M. Shiralizadeh} et al., Comput. Methods Differ. Equ. 11, No. 2, 303--318 (2023; Zbl 1524.65685) Full Text: DOI
Aceto, Lidia; Durastante, Fabio Efficient computation of the sinc matrix function for the integration of second-order differential equations. arXiv:2304.09676 Preprint, arXiv:2304.09676 [math.NA] (2023). MSC: 65L06 15A16 41A20 BibTeX Cite \textit{L. Aceto} and \textit{F. Durastante}, ``Efficient computation of the sinc matrix function for the integration of second-order differential equations'', Preprint, arXiv:2304.09676 [math.NA] (2023) Full Text: arXiv OA License
Oruç, Ömer Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. (English) Zbl 07778285 Numer. Methods Partial Differ. Equations 38, No. 4, 1068-1089 (2022). MSC: 65M70 65M06 65L06 65N35 65D05 35A24 35R09 78A35 78A25 82D10 35Q60 35Q55 35Q53 PDFBibTeX XMLCite \textit{Ö. Oruç}, Numer. Methods Partial Differ. Equations 38, No. 4, 1068--1089 (2022; Zbl 07778285) Full Text: DOI
Abdi, A.; Hosseini, S. A.; Podhaisky, H. Adaptive linear barycentric rational finite differences method for stiff ODEs. (English) Zbl 1503.65141 J. Comput. Appl. Math. 357, 204-214 (2019). MSC: 65L04 65L05 65L06 65L12 65D05 65L20 PDFBibTeX XMLCite \textit{A. Abdi} et al., J. Comput. Appl. Math. 357, 204--214 (2019; Zbl 1503.65141) Full Text: DOI
Tsitouras, Ch.; Famelis, I. Th. Bounds for variable degree rational \(L_\infty\) approximations to the matrix exponential. (English) Zbl 1427.65062 Appl. Math. Comput. 338, 376-386 (2018). MSC: 65F99 65D20 65F60 65L06 65L05 34A34 65M20 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{I. Th. Famelis}, Appl. Math. Comput. 338, 376--386 (2018; Zbl 1427.65062) Full Text: DOI
Garwood, John J.; Jator, Samuel N. Using rational logarithmic basis functions to solve singular differential equations. (English) Zbl 1342.65157 Electron. J. Differ. Equ. 2016, Conf. 23, 1-7 (2016). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{J. J. Garwood} and \textit{S. N. Jator}, Electron. J. Differ. Equ. 2016, 1--7 (2016; Zbl 1342.65157) Full Text: EMIS
Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation. (English) Zbl 1410.65256 Appl. Math. Comput. 268, 796-805 (2015). MSC: 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{H. Ramos} et al., Appl. Math. Comput. 268, 796--805 (2015; Zbl 1410.65256) Full Text: DOI
Dai, Honghua; Yue, Xiaokui; Yuan, Jianping; Xie, Dan; Atluri, S. N. A comparison of classical Runge-Kutta and Henon’s methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity. (English) Zbl 1431.74042 Nonlinear Dyn. 81, No. 1-2, 169-188 (2015). MSC: 74F10 65L06 37M05 65P20 PDFBibTeX XMLCite \textit{H. Dai} et al., Nonlinear Dyn. 81, No. 1--2, 169--188 (2015; Zbl 1431.74042) Full Text: DOI
Lóczi, Lajos; Ketcheson, David I. Rational functions with maximal radius of absolute monotonicity. (English) Zbl 1291.65222 LMS J. Comput. Math. 17, 159-205 (2014). MSC: 65L06 68W30 41A20 49K30 PDFBibTeX XMLCite \textit{L. Lóczi} and \textit{D. I. Ketcheson}, LMS J. Comput. Math. 17, 159--205 (2014; Zbl 1291.65222) Full Text: DOI arXiv
Lóczi, Lajos On the definition of the stability region of multistep methods. arXiv:1404.6934 Preprint, arXiv:1404.6934 [math.NA] (2014). MSC: 65L06 30C15 BibTeX Cite \textit{L. Lóczi}, ``On the definition of the stability region of multistep methods'', Preprint, arXiv:1404.6934 [math.NA] (2014) Full Text: arXiv OA License
Scherer, Philipp O. J. Computational physics. Simulation of classical and quantum systems. 2nd ed. (English) Zbl 1303.82008 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-00400-6/hbk; 978-3-319-00401-3/ebook). xviii, 454 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 82-02 65Z05 65-01 82-08 00A06 00A79 PDFBibTeX XMLCite \textit{P. O. J. Scherer}, Computational physics. Simulation of classical and quantum systems. 2nd ed. Cham: Springer (2013; Zbl 1303.82008) Full Text: DOI
Abhulimen, C. E.; Uloko, J. A. A class of an implicit stage-two rational Runge-Kutta method for solution of ordinary differential equations. (English) Zbl 1309.65082 J. Appl. Math. Bioinform. 2, No. 3, 17-31 (2012). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{C. E. Abhulimen} and \textit{J. A. Uloko}, J. Appl. Math. Bioinform. 2, No. 3, 17--31 (2012; Zbl 1309.65082)
Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G. R. W. Geometric properties of Kahan’s method. (English) Zbl 1278.65192 J. Phys. A, Math. Theor. 45, No. 45, Article ID 025201, 12 p. (2012). Reviewer: Manuel de León (Madrid) MSC: 65P10 65L06 70H05 37J35 37M15 PDFBibTeX XMLCite \textit{E. Celledoni} et al., J. Phys. A, Math. Theor. 45, No. 45, Article ID 025201, 12 p. (2012; Zbl 1278.65192) Full Text: DOI arXiv
Abdi, A.; Butcher, J. C. Order bounds for second derivative approximations. (English) Zbl 1247.65103 BIT 52, No. 2, 273-281 (2012). MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{A. Abdi} and \textit{J. C. Butcher}, BIT 52, No. 2, 273--281 (2012; Zbl 1247.65103) Full Text: DOI
Abdi, A.; Butcher, J. C. Applications of order arrows. (English) Zbl 1241.65070 Appl. Numer. Math. 62, No. 5, 556-566 (2012). MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{A. Abdi} and \textit{J. C. Butcher}, Appl. Numer. Math. 62, No. 5, 556--566 (2012; Zbl 1241.65070) Full Text: DOI
Auzinger, Winfried; Łapińska, Magdalena Convergence of rational multistep methods of Adams-Padé type. (English) Zbl 1243.65074 BIT 52, No. 1, 3-20 (2012). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L20 65L04 34A34 PDFBibTeX XMLCite \textit{W. Auzinger} and \textit{M. Łapińska}, BIT 52, No. 1, 3--20 (2012; Zbl 1243.65074) Full Text: DOI
Babatola, P. O. A new class of A-stable implicit schemes for treatment of stiff system of ordinary differential equations. (English) Zbl 1229.65117 Glob. J. Math. Stat. 2, No. 2, 133-142 (2010). MSC: 65L06 65L05 65L20 34A34 65L04 PDFBibTeX XMLCite \textit{P. O. Babatola}, Glob. J. Math. Stat. 2, No. 2, 133--142 (2010; Zbl 1229.65117)
Babatola, P. O.; Ademiluyi, R. A.; Areo, E. A. Convergent \(k\)-step implicit rational Runge-Kutta method for solution of stiff ordinary differential equations. (English) Zbl 1229.65135 Glob. J. Math. Stat. 2, No. 2, 113-122 (2010). MSC: 65L20 34A34 65L05 65L04 65L06 PDFBibTeX XMLCite \textit{P. O. Babatola} et al., Glob. J. Math. Stat. 2, No. 2, 113--122 (2010; Zbl 1229.65135)
Grimm, Volker; Gugat, Martin Approximation of semigroups and related operator functions by resolvent series. (English) Zbl 1222.65052 SIAM J. Numer. Anal. 48, No. 5, 1826-1845 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65J10 65M15 35L05 65M12 65M60 65L06 35L90 47D09 PDFBibTeX XMLCite \textit{V. Grimm} and \textit{M. Gugat}, SIAM J. Numer. Anal. 48, No. 5, 1826--1845 (2010; Zbl 1222.65052) Full Text: DOI Link
Wang, Yingwei; Chen, Suqin; Wu, Xionghua The exponential time differencing and rational spectral collocation method for singularly perturbed Burgers-Huxley problem. (Chinese. English summary) Zbl 1224.65235 Math. Numer. Sin. 32, No. 2, 171-182 (2010). MSC: 65M70 65M06 35Q53 65L06 35B25 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Numer. Sin. 32, No. 2, 171--182 (2010; Zbl 1224.65235)
Alonso-Mallo, I.; Cano, B.; Moreta, M. J. The stability of rational approximations of cosine functions on Hilbert spaces. (English) Zbl 1160.65019 Appl. Numer. Math. 59, No. 1, 21-38 (2009). Reviewer: Angela Handlovičová (Bratislava) MSC: 65J10 34G10 65L05 65L20 47D06 65L06 35K90 65M12 PDFBibTeX XMLCite \textit{I. Alonso-Mallo} et al., Appl. Numer. Math. 59, No. 1, 21--38 (2009; Zbl 1160.65019) Full Text: DOI
Babatola, P. O.; Ademiluyi, R. A.; Areo, E. A. K-step rational Runge-Kutta method for solution of stiff system of ordinary differential equations. (English) Zbl 1186.65093 J. Math. Stat. 4, No. 3, 130-137 (2008). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{P. O. Babatola} et al., J. Math. Stat. 4, No. 3, 130--137 (2008; Zbl 1186.65093)
Aashikpelokhai, U. S. U. On the stability of an odd-order family of rational integrators. (English) Zbl 1160.65040 J. Inst. Math. Comput. Sci., Math. Ser. 21, No. 1, 21-28 (2008). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{U. S. U. Aashikpelokhai}, J. Inst. Math. Comput. Sci., Math. Ser. 21, No. 1, 21--28 (2008; Zbl 1160.65040)
Zhu, Ling On the convergent condition of Durand-Kerner method in parallel circular iteration of multi-step. (English) Zbl 1084.65056 Appl. Math. Comput. 169, No. 1, 179-191 (2005). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65H05 65Y05 12Y05 30C15 65E05 PDFBibTeX XMLCite \textit{L. Zhu}, Appl. Math. Comput. 169, No. 1, 179--191 (2005; Zbl 1084.65056) Full Text: DOI
Ikhile, M. N. O. Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods. (English) Zbl 1073.65058 Comput. Math. Appl. 47, No. 8-9, 1463-1475 (2004). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. N. O. Ikhile}, Comput. Math. Appl. 47, No. 8--9, 1463--1475 (2004; Zbl 1073.65058) Full Text: DOI
Li, Chen; Wu, Xionghua A new linearized method for Benjamin-Bona-Mahony equations. (English) Zbl 1062.65096 Numer. Methods Partial Differ. Equations 20, No. 6, 948-961 (2004). MSC: 65M20 65M12 65L06 35L60 PDFBibTeX XMLCite \textit{C. Li} and \textit{X. Wu}, Numer. Methods Partial Differ. Equations 20, No. 6, 948--961 (2004; Zbl 1062.65096) Full Text: DOI
Odekunle, M. R.; Oye, N. D.; Adee, S. O.; Ademiluyi, R. A. A class of inverse Runge-Kutta schemes for the numerical integration of singular problems. (English) Zbl 1061.65065 Appl. Math. Comput. 158, No. 1, 149-158 (2004). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. R. Odekunle} et al., Appl. Math. Comput. 158, No. 1, 149--158 (2004; Zbl 1061.65065) Full Text: DOI
Akrivis, Georgios; Crouzeix, Michel Linearly implicit methods for nonlinear parabolic equations. (English) Zbl 1045.65079 Math. Comput. 73, No. 246, 613-635 (2004). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65M20 35K55 65M15 65L06 65M12 PDFBibTeX XMLCite \textit{G. Akrivis} and \textit{M. Crouzeix}, Math. Comput. 73, No. 246, 613--635 (2004; Zbl 1045.65079) Full Text: DOI
Wang, Zhongqing; Wang, Lilian; Guo, Benyu A rational sepctral method for singular differential equations. (English) Zbl 1064.65084 Numer. Math., J. Chin. Univ. 12, No. 2, 121-128 (2003). MSC: 65L60 65L10 34B05 65L06 PDFBibTeX XMLCite \textit{Z. Wang} et al., Numer. Math., J. Chin. Univ. 12, No. 2, 121--128 (2003; Zbl 1064.65084)
Ikhile, M. N. O. Coefficients for studying one-step rational schemes for IVPs in ODEs: II. (English) Zbl 1057.65044 Comput. Math. Appl. 44, No. 3-4, 545-557 (2002). MSC: 65L06 65L05 65L50 34A34 65L20 PDFBibTeX XMLCite \textit{M. N. O. Ikhile}, Comput. Math. Appl. 44, No. 3--4, 545--557 (2002; Zbl 1057.65044) Full Text: DOI
Hansbo, Anita Strong stability and non-smooth data error estimates for discretizations of linear parabolic problems. (English) Zbl 1013.65098 BIT 42, No. 2, 351-379 (2002). Reviewer: Nho Hao Dinh (Brussels) MSC: 65M12 65M15 65M20 35K15 65L06 PDFBibTeX XMLCite \textit{A. Hansbo}, BIT 42, No. 2, 351--379 (2002; Zbl 1013.65098) Full Text: DOI
Del Buono, N.; Mastroserio, C. Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws. (English) Zbl 1007.65048 J. Comput. Appl. Math. 140, No. 1-2, 231-243 (2002). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L06 65L05 34A34 65P10 37M15 PDFBibTeX XMLCite \textit{N. Del Buono} and \textit{C. Mastroserio}, J. Comput. Appl. Math. 140, No. 1--2, 231--243 (2002; Zbl 1007.65048) Full Text: DOI
Ikhile, M. N. O. Coefficients for studying one-step rational schemes for IVPs in ODEs. I. (English) Zbl 0989.65071 Comput. Math. Appl. 41, No. 5-6, 769-781 (2001). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L06 65L05 65L50 34A34 65L20 PDFBibTeX XMLCite \textit{M. N. O. Ikhile}, Comput. Math. Appl. 41, No. 5--6, 769--781 (2001; Zbl 0989.65071) Full Text: DOI
Wang, Wenqiang; Li, Shoufu Necessary and sufficient conditions for \(A\)-acceptability of high-order rational approximations to the function \(\exp (z)\). (Chinese. English summary) Zbl 0973.65064 Nat. Sci. J. Xiangtan Univ. 22, No. 1, 4-7 (2000). MSC: 65L20 65L06 65D15 41A20 PDFBibTeX XMLCite \textit{W. Wang} and \textit{S. Li}, Nat. Sci. J. Xiangtan Univ. 22, No. 1, 4--7 (2000; Zbl 0973.65064)
Alonso-Mallo, Isaías Rational methods with optimal order of convergence for partial differential equations. (English) Zbl 0966.65066 Appl. Numer. Math. 35, No. 4, 265-292 (2000). Reviewer: Dana Petcu (Timişoara) MSC: 65M20 65M12 65L06 65L05 35K15 65M15 35L15 PDFBibTeX XMLCite \textit{I. Alonso-Mallo}, Appl. Numer. Math. 35, No. 4, 265--292 (2000; Zbl 0966.65066) Full Text: DOI
Ikhile, M. N. O.; Otunta, F. O. New extrapolation methods for initial value problems in ordinary differential equations. (English) Zbl 0962.65059 Int. J. Comput. Math. 75, No. 2, 205-219 (2000). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{M. N. O. Ikhile} and \textit{F. O. Otunta}, Int. J. Comput. Math. 75, No. 2, 205--219 (2000; Zbl 0962.65059) Full Text: DOI
Otunta, F. O.; Ikhile, M. N. O. Efficient rational one-step numerical integrators for inital value problems in ordinary differential equations. (English) Zbl 0976.65069 Int. J. Comput. Math. 72, No. 1, 49-61 (1999). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{F. O. Otunta} and \textit{M. N. O. Ikhile}, Int. J. Comput. Math. 72, No. 1, 49--61 (1999; Zbl 0976.65069) Full Text: DOI
Sweatman, Winston L. Vector rational interpolation algorithms of Bulirsch-Stoer-Neville form. (English) Zbl 0915.65006 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1975, 1923-1932 (1998). Reviewer: J.Illán González (Vigo) MSC: 65D05 41A20 65L06 65L05 PDFBibTeX XMLCite \textit{W. L. Sweatman}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1975, 1923--1932 (1998; Zbl 0915.65006) Full Text: DOI
Feng, Kang The step-transition operators for multi-step methods of ODE’s. (English) Zbl 0909.65046 J. Comput. Math. 16, No. 3, 193-202 (1998). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L06 65L05 37M99 65P10 PDFBibTeX XMLCite \textit{K. Feng}, J. Comput. Math. 16, No. 3, 193--202 (1998; Zbl 0909.65046)
Otunta, F. O.; Ikhile, M. O. N. Stability and convergence of a class of variable order nonlinear one-step rational integrators of initial value problems in ordinary differential equations. (English) Zbl 0873.65081 Int. J. Comput. Math. 62, No. 3-4, 199-208 (1996). Reviewer: M.Plum (Karlsruhe) MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{F. O. Otunta} and \textit{M. O. N. Ikhile}, Int. J. Comput. Math. 62, No. 3--4, 199--208 (1996; Zbl 0873.65081) Full Text: DOI
Penjak, Vladimír Runge-Kutta method for second order ordinary differential equation. (English) Zbl 0866.65051 Bul. Ştiinţ. Univ. Baia Mare, Ser. B 12, No. 2, 235-241 (1996). Reviewer: J.C.Misra MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{V. Penjak}, Bul. Științ. Univ. Baia Mare, Ser. B 12, No. 2, 235--241 (1996; Zbl 0866.65051)
Sakurai, T.; Petković, M. S. On some simultaneous methods based on Weierstrass’ correction. (English) Zbl 0859.65048 J. Comput. Appl. Math. 72, No. 2, 275-291 (1996). Reviewer: A.Swift (Palmerston North) MSC: 65H05 30C15 12Y05 PDFBibTeX XMLCite \textit{T. Sakurai} and \textit{M. S. Petković}, J. Comput. Appl. Math. 72, No. 2, 275--291 (1996; Zbl 0859.65048) Full Text: DOI
Griewank, A. ODE solving via automatic differentiation and rational prediction. (English) Zbl 0849.65049 Griffiths, D. F. (ed.) et al., Numerical analysis 1995. Proceedings of the 16th Dundee conference on numerical analysis, University of Dundee, UK, June 27-30, 1995. Harlow: Longman. Pitman Res. Notes Math. Ser. 344, 36-56 (1996). Reviewer: H.Brunner (St.John’s) MSC: 65L05 65L06 34A30 65L20 34E13 PDFBibTeX XMLCite \textit{A. Griewank}, Pitman Res. Notes Math. Ser. 344, 36--56 (1996; Zbl 0849.65049)
Weller, Friedrich Numerical mathematics for engineers and scientists. An introduction for study and practice. (Numerische Mathematik für Ingenieure und Naturwissenschaftler. Eine Einführung für Studium und Praxis.) (German) Zbl 0842.65001 Viewegs Fachbücher der Technik. Braunschweig: Vieweg. xiv, 525 p. (1996). Reviewer: W.Govaerts (Gent) MSC: 65-01 00A06 65Fxx 65Hxx 65Dxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Weller}, Numerische Mathematik für Ingenieure und Naturwissenschaftler. Eine Einführung für Studium und Praxis. Braunschweig: Vieweg (1996; Zbl 0842.65001)
Slon’ovskyj, R. V.; Stolyarchuk, R. R. Stable multistep methods of numerical integration of stiff systems of differential equations. (Ukrainian) Zbl 0894.65033 Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 148-152 (1996). Reviewer: N.V.Nikitina (Kyïv) MSC: 65L06 34A34 34E13 65L05 65L20 PDFBibTeX XMLCite \textit{R. V. Slon'ovskyj} and \textit{R. R. Stolyarchuk}, Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 148--152 (1996; Zbl 0894.65033)
Slon’ovskyj, R. V.; Stolyarchuk, R. R. Stable multistep methods of numerical integration of rigid systems of differential equations. (English. Ukrainian original) Zbl 0899.65045 J. Math. Sci., New York 90, No. 5, 2450-2453 (1998); translation from Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 148-152 (1996). MSC: 65L06 34A34 34E13 65L05 65L20 PDFBibTeX XMLCite \textit{R. V. Slon'ovskyj} and \textit{R. R. Stolyarchuk}, Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 148--152 (1996; Zbl 0899.65045); translation from Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 148--152 (1996)
Palencia, C. Stability of rational multistep approximations of holomorphic semigroups. (English) Zbl 0833.65104 Math. Comput. 64, No. 210, 591-599 (1995). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65M12 65J10 35G10 35K25 47D06 PDFBibTeX XMLCite \textit{C. Palencia}, Math. Comput. 64, No. 210, 591--599 (1995; Zbl 0833.65104) Full Text: DOI
Friedman, Menahem; Kandel, Abraham Fundamentals of computer numerical analysis. Incl. 1 disk. (English) Zbl 0838.65001 Boca Raton, FL: CRC Press. xi, 587 p. (1994). Reviewer: W.Govaerts (Gent) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Gxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{M. Friedman} and \textit{A. Kandel}, Fundamentals of computer numerical analysis. Incl. 1 disk. Boca Raton, FL: CRC Press (1994; Zbl 0838.65001)
Palencia, C.; García-Archilla, B. Stability of linear multistep methods for sectorial operators in Banach spaces. (English) Zbl 0784.65055 Appl. Numer. Math. 12, No. 6, 503-520 (1993). Reviewer: R.D.Grigorieff (Berlin) MSC: 65J10 65L05 65L20 34G10 PDFBibTeX XMLCite \textit{C. Palencia} and \textit{B. García-Archilla}, Appl. Numer. Math. 12, No. 6, 503--520 (1993; Zbl 0784.65055) Full Text: DOI
Slonevskij, R. V. Multistep rational numerical methods for the solution of stiff systems of differential equations. (English) Zbl 0763.65061 Mathematical modelling and applied mathematics, Proc. IMACS Int. Conf., Moscow/USSR 1990, 407-413 (1992). Reviewer: E.Hairer (Genève) MSC: 65L06 65L20 65L05 34A34 34E13 PDFBibTeX XMLCite \textit{R. V. Slonevskij}, in: Mathematical modelling and applied mathematics. Proceedings of the IMACS international conference, held in Moscow, USSR, June 18-23, 1990. Amsterdam etc.: North-Holland. 407--413 (1992; Zbl 0763.65061)
Schild, K. H. An order bound of non-rational \(A\)-stable one-step methods for stiff boundary value problems. (Eine Ordnungsschranke für nicht-rationale A-stabile Einschrittverfahren bei steifen Randwertproblemen.) (German) Zbl 0761.65062 Z. Angew. Math. Mech. 71, No. 6, T776-T778 (1991). Reviewer: R.Lamour (Berlin) MSC: 65L10 65L06 65L20 34B05 PDFBibTeX XMLCite \textit{K. H. Schild}, Z. Angew. Math. Mech. 71, No. 6, T776--T778 (1991; Zbl 0761.65062)
Franco García, José-María A direct integration method for the numerical resolution of second order hyperbolic equations. (Spanish. English summary) Zbl 0721.65038 Differential equations and applications, Proc. 11th Congr., CEDYA, Appl. Math., Fuengirola (Málaga)/Spain 1989, 253-258 (1989). Reviewer: J.M.Sanz-Serna (Valladolid) MSC: 65L05 65L20 34A30 PDFBibTeX XML
Collatz, L. Some applications of rational and logarithmic approximation to differential equations. (English) Zbl 0697.65087 Skr., K. Nor. Vidensk. Selsk. 1989, No. 2, 27-34 (1989). Reviewer: S.Gocheva-Ilieva MSC: 65L06 35A35 41A20 35J65 PDFBibTeX XMLCite \textit{L. Collatz}, Skr., K. Nor. Vidensk. Selsk. 1989, No. 2, 27--34 (1989; Zbl 0697.65087)
Slonevskij, R. V. New rational methods for numerical treatment of stiff problems. (Russian. English summary) Zbl 0786.34020 Filippov, S. S. (ed.), Numerical solution of ordinary differential equations. Collection of scientific works. Moskva: Institut Prikladnoj Matematiki Im. M. V. Keldysha AN SSSR, 124-138 (1988). Reviewer: S.S.Filippov (Moskva) MSC: 65J99 34E13 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{R. V. Slonevskij}, in: Chislennoe reshenie obyknovennykh differentsial'nykh uravnenij. Sbornik nauchnykh trudov. Moskva: Institut Prikladnoj Matematiki Im. M. V. Keldysha AN SSSR. 124--138 (1988; Zbl 0786.34020)
Crouzeix, Michel On multistep approximation of semigroups in Banach spaces. (English) Zbl 0632.65067 J. Comput. Appl. Math. 20, 25-35 (1987). Reviewer: V.Suchánková-Marsiková MSC: 65J10 65L05 34G10 47D03 PDFBibTeX XMLCite \textit{M. Crouzeix}, J. Comput. Appl. Math. 20, 25--35 (1987; Zbl 0632.65067) Full Text: DOI
Liu, Wing Kam; Belytschko, Ted; Zhang, Yi Fei Partitioned rational Runge Kutta for parabolic systems. (English) Zbl 0547.65066 Int. J. Numer. Methods Eng. 20, 1581-1597 (1984). Reviewer: I.N.Molčanov MSC: 65M20 65L05 65L20 35K60 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Int. J. Numer. Methods Eng. 20, 1581--1597 (1984; Zbl 0547.65066) Full Text: DOI
Glins’kij, Ya. M. Explicit methods for the solution of stiff systems of ordinary differential equations. (Ukrainian) Zbl 0454.65059 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 2, 72-75 (1981). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{Ya. M. Glins'kij}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 2, 72--75 (1981; Zbl 0454.65059)
Dekker, K. Formula manipulation in ALGOL 68 and application to Routh’s algorithm. (English) Zbl 0437.12018 Computing 26, 167-187 (1981). MSC: 12D10 12-04 30-04 30C15 68W99 PDFBibTeX XMLCite \textit{K. Dekker}, Computing 26, 167--187 (1981; Zbl 0437.12018) Full Text: DOI
Callier, F. M.; Toint, Ph. L. Recent results on the accelerating property of an algorithm for function minimization without calculating derivatives. (English) Zbl 0431.90067 Survey of mathematical programming, Proc. int. Symp., Vol. 1, Budapest 1976, 369-376 (1980). MSC: 90C30 65K05 41A20 PDFBibTeX XML