Koepf, Wolfram Computer algebra. An algorithm-oriented introduction. Translated and updated from the 2006 German language edition. (English) Zbl 1484.68004 Springer Undergraduate Texts in Mathematics and Technology. Cham: Springer (ISBN 978-3-030-78016-6/hbk; 978-3-030-78019-7/pbk; 978-3-030-78017-3/ebook). xii, 384 p. (2021). Reviewer: Andreas Maletti (Leipzig) MSC: 68-01 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, Computer algebra. An algorithm-oriented introduction. Translated and updated from the 2006 German language edition. Cham: Springer (2021; Zbl 1484.68004) Full Text: DOI
Ehiemua, M. E.; Agbeboh, G. U. On the derivation of a new fifth-order implicit Runge-Kutta scheme for stiff problems in ordinary differential equation. (English) Zbl 1474.65203 J. Niger. Math. Soc. 38, No. 2, 247-258 (2019). MSC: 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{M. E. Ehiemua} and \textit{G. U. Agbeboh}, J. Niger. Math. Soc. 38, No. 2, 247--258 (2019; Zbl 1474.65203) Full Text: Link
Gülsu, Mustafa; Öztürk, Yalçın; Anapali, Ayşe Numerical solution the fractional Bagley-Torvik equation arising in fluid mechanics. (English) Zbl 06724299 Int. J. Comput. Math. 94, No. 1, 173-184 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Gülsu} et al., Int. J. Comput. Math. 94, No. 1, 173--184 (2017; Zbl 06724299) Full Text: DOI
Gokmen, Elcin; Isik, Osman Rasit; Sezer, Mehmet Taylor collocation approach for delayed Lotka-Volterra predator-prey system. (English) Zbl 1410.65251 Appl. Math. Comput. 268, 671-684 (2015). MSC: 65L05 92D25 34K18 PDFBibTeX XMLCite \textit{E. Gokmen} et al., Appl. Math. Comput. 268, 671--684 (2015; Zbl 1410.65251) Full Text: DOI
Shivakumar, Pappur N.; Zhang, Yang On series solutions of \(y''-f(x)y=0\) and applications. (English) Zbl 1382.34014 Adv. Difference Equ. 2013, Paper No. 47, 6 p. (2013). MSC: 34A25 34A30 34A12 PDFBibTeX XMLCite \textit{P. N. Shivakumar} and \textit{Y. Zhang}, Adv. Difference Equ. 2013, Paper No. 47, 6 p. (2013; Zbl 1382.34014) Full Text: DOI
Gulsu, Mustafa; Ozturk, Yalcin; Anapali, Ayse A collocation method for solving fractional Riccati differential equation. (English) Zbl 1305.34014 Adv. Appl. Math. Mech. 5, No. 6, 872-884 (2013). MSC: 34A08 65N35 30K05 PDFBibTeX XMLCite \textit{M. Gulsu} et al., Adv. Appl. Math. Mech. 5, No. 6, 872--884 (2013; Zbl 1305.34014) Full Text: DOI Euclid
Gülsu, Mustafa; Öztürk, Yalçın; Anapalı, Ayşe Numerical approach for solving fractional relaxation-oscillation equation. (English) Zbl 1278.65099 Appl. Math. Modelling 37, No. 8, 5927-5937 (2013). MSC: 65L05 34A08 34A34 34C26 PDFBibTeX XMLCite \textit{M. Gülsu} et al., Appl. Math. Modelling 37, No. 8, 5927--5937 (2013; Zbl 1278.65099) Full Text: DOI Link
Gülsu, Mustafa; Öztürk, Yalçın; Anapalı, Ayşe Numerical approach for solving fractional Fredholm integro-differential equation. (English) Zbl 1311.65165 Int. J. Comput. Math. 90, No. 7, 1413-1434 (2013). MSC: 65R20 34A08 45K05 41A58 33F05 PDFBibTeX XMLCite \textit{M. Gülsu} et al., Int. J. Comput. Math. 90, No. 7, 1413--1434 (2013; Zbl 1311.65165) Full Text: DOI
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Sezer, Mehmet; Yalçinbaş, Salih A collocation method to solve higher order linear complex differential equations in rectangular domains. (English) Zbl 1189.65152 Numer. Methods Partial Differ. Equations 26, No. 3, 596-611 (2010). MSC: 65L60 34M03 65L05 65E05 PDFBibTeX XMLCite \textit{M. Sezer} and \textit{S. Yalçinbaş}, Numer. Methods Partial Differ. Equations 26, No. 3, 596--611 (2010; Zbl 1189.65152) Full Text: DOI
Kurulay, Muhammet; Bayram, Mustafa A novel power series method for solving second order partial differential equations. (English) Zbl 1213.65140 Eur. J. Pure Appl. Math. 2, No. 2, 268-277 (2009). MSC: 65N22 35J25 35C10 PDFBibTeX XMLCite \textit{M. Kurulay} and \textit{M. Bayram}, Eur. J. Pure Appl. Math. 2, No. 2, 268--277 (2009; Zbl 1213.65140)
Zhang, Jun Sumudu transform based coefficients calculation. (English) Zbl 1177.65188 Nonlinear Stud. 15, No. 4, 355-372 (2008). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{J. Zhang}, Nonlinear Stud. 15, No. 4, 355--372 (2008; Zbl 1177.65188)
Bahns, Dorothea; Schweigert, Christoph Software course – analysis and linear algebra. A MAPLE workbook with examples and solutions. (Softwarepraktikum – Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen.) (German) Zbl 1141.65300 Wiesbaden: Vieweg (ISBN 978-3-8348-0370-2/pbk). xiii, 197 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 26-01 15-01 68W30 65Y15 00A06 00A05 PDFBibTeX XMLCite \textit{D. Bahns} and \textit{C. Schweigert}, Softwarepraktikum -- Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen. Wiesbaden: Vieweg (2008; Zbl 1141.65300)
Gülsu, Mustafa; Sezer, Mehmet Approximations to the solution of linear Fredholm integro-differential-difference equation of high order. (English) Zbl 1113.65122 J. Franklin Inst. 343, No. 7, 720-737 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45L05 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, J. Franklin Inst. 343, No. 7, 720--737 (2006; Zbl 1113.65122) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations. (English) Zbl 1109.65113 Int. J. Comput. Math. 83, No. 4, 429-448 (2006). MSC: 65R20 45J05 68W30 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Int. J. Comput. Math. 83, No. 4, 429--448 (2006; Zbl 1109.65113) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet A Taylor polynomial approach for solving differential-difference equations. (English) Zbl 1078.65551 J. Comput. Appl. Math. 186, No. 2, 349-364 (2006). MSC: 65L05 34K28 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, J. Comput. Appl. Math. 186, No. 2, 349--364 (2006; Zbl 1078.65551) Full Text: DOI
Rappoport, Yu. M. MAPLE in the course of mathematical analysis. Instructions for the practical studies on the theme “Power series in numerical computations”. (MAPLE в курсе математического анализа. Методические указания к практическим занятиям по теме: “Ряды в приближенных вычислениях”.) (Russian) Zbl 1159.41306 Moskva: MATI. 20 p. (2004). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A58 41A10 PDFBibTeX XMLCite \textit{Yu. M. Rappoport}, MAPLE в курсе математического анализа. Методические указания к практическим занятиям по теме: ``Ряды в приближенных вычислениях'' (Russian). Moskva: MATI (2004; Zbl 1159.41306)
Margaria, Gabriella; Riccomagno, Eva; White, Lisa J. Structural identifiability analysis of some highly structured families of statespace models using differential algebra. (English) Zbl 1084.92027 J. Math. Biol. 49, No. 5, 433-454 (2004). MSC: 92C60 93A30 68W30 92C50 34A12 92D30 PDFBibTeX XMLCite \textit{G. Margaria} et al., J. Math. Biol. 49, No. 5, 433--454 (2004; Zbl 1084.92027) Full Text: DOI
Faghihi, F.; Hadad, K. Numerical solutions of coupled differential equations and initial values using Maple software. (English) Zbl 1055.65081 Appl. Math. Comput. 155, No. 2, 563-572 (2004). MSC: 65L05 68W30 65L06 34A34 65Y15 PDFBibTeX XMLCite \textit{F. Faghihi} and \textit{K. Hadad}, Appl. Math. Comput. 155, No. 2, 563--572 (2004; Zbl 1055.65081) Full Text: DOI
Rappoport, Yu. M. MAPLE in the course of mathematical analysis. Instructions for the practical studies on the theme “Taylor formula”. (MAPLE в курсе математического анализа. Методические указания к практическим занятиям по теме: “Формула Тейлора”.) (Russian) Zbl 1159.41305 Moskva: MATI. 16 p. (2003). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A58 41A10 PDFBibTeX XMLCite \textit{Yu. M. Rappoport}, MAPLE в курсе математического анализа. Методические указания к практическим занятиям по теме: ``Формула Тейлора'' (Russian). Moskva: MATI (2003; Zbl 1159.41305)
Phares, Alain J.; Wunderlich, Francis J. Numerical computation of derivatives to arbitrary precision. (English) Zbl 1125.65305 Int. J. Theor. Phys. Group Theory Nonlinear Opt. 10, No. 4, 415-424 (2003). MSC: 65D25 65G50 PDFBibTeX XMLCite \textit{A. J. Phares} and \textit{F. J. Wunderlich}, Int. J. Theor. Phys. Group Theory Nonlinear Opt. 10, No. 4, 415--424 (2003; Zbl 1125.65305)
Ge, Lixin; Zhang, Jun Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients. (English) Zbl 1001.65112 J. Comput. Appl. Math. 143, No. 1, 9-27 (2002). MSC: 65N06 35J25 65Y15 PDFBibTeX XMLCite \textit{L. Ge} and \textit{J. Zhang}, J. Comput. Appl. Math. 143, No. 1, 9--27 (2002; Zbl 1001.65112) Full Text: DOI
Childs, Aaron; Balakrishnan, N. Series approximations for moments of order statistics using MAPLE. (English) Zbl 1079.62514 Comput. Stat. Data Anal. 38, No. 3, 331-347 (2002). MSC: 62G30 62-04 65C60 PDFBibTeX XMLCite \textit{A. Childs} and \textit{N. Balakrishnan}, Comput. Stat. Data Anal. 38, No. 3, 331--347 (2002; Zbl 1079.62514) Full Text: DOI
Curry, Bruce; Morgan, Peter; Beynon, Malcolm Neural networks and flexible approximations. (English) Zbl 0997.62074 IMA J. Math. Appl. Bus. Ind. 11, No. 1, 19-35 (2000). MSC: 62M45 65C60 68T05 PDFBibTeX XMLCite \textit{B. Curry} et al., IMA J. Math. Appl. Bus. Ind. 11, No. 1, 19--35 (2000; Zbl 0997.62074)
Nagle, R. Kent; Saff, Edward B.; Snider, Arthur David Fundamentals of differential equations and boundary value problems. 3rd ed. (English) Zbl 0949.34001 Reading, MA: Addison-Wesley. xxii, 859 p., 61 p. appendix (2000). MSC: 34-01 35-01 34Axx 34Bxx PDFBibTeX XMLCite \textit{R. K. Nagle} et al., Fundamentals of differential equations and boundary value problems. 3rd ed. Reading, MA: Addison-Wesley (2000; Zbl 0949.34001)
Makinde, O. D. Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel. (English) Zbl 0956.76074 J. Aust. Math. Soc., Ser. B 41, No. 1, 118-128 (1999). Reviewer: Oleg Titow (Berlin) MSC: 76M45 76S05 76D10 PDFBibTeX XMLCite \textit{O. D. Makinde}, J. Aust. Math. Soc., Ser. B 41, No. 1, 118--128 (1999; Zbl 0956.76074) Full Text: DOI
Machane, R.; Canot, E. High-order schemes in boundary element methods for transient non-linear free surface problems. (English) Zbl 0888.76048 Int. J. Numer. Methods Fluids 24, No. 10, 1049-1072 (1997). MSC: 76M15 76B15 PDFBibTeX XMLCite \textit{R. Machane} and \textit{E. Canot}, Int. J. Numer. Methods Fluids 24, No. 10, 1049--1072 (1997; Zbl 0888.76048) Full Text: DOI
Wang, C. L.-Y. Computer implementation of a series solution for constant coefficient ordinary differential equations. (English) Zbl 0874.65052 Comput. Math. Appl. 31, No. 3, 43-60 (1996). MSC: 65L05 68W30 34A25 34A34 PDFBibTeX XMLCite \textit{C. L. Y. Wang}, Comput. Math. Appl. 31, No. 3, 43--60 (1996; Zbl 0874.65052) Full Text: DOI
Choi, K. P. On the medians of gamma distributions and an equation of Ramanujan. (English) Zbl 0803.62007 Proc. Am. Math. Soc. 121, No. 1, 245-251 (1994). MSC: 62E10 41A58 62E20 33B15 PDFBibTeX XMLCite \textit{K. P. Choi}, Proc. Am. Math. Soc. 121, No. 1, 245--251 (1994; Zbl 0803.62007) Full Text: DOI
Wang, S.; Huseyin, K. Vibration analysis of nonlinear dynamical systems with the aid of ‘MAPLE’. (English) Zbl 0794.70016 Math. Model. Sci. Comput. 2(Sect.B), 876-881 (1993). MSC: 70K40 70-08 68W30 PDFBibTeX XMLCite \textit{S. Wang} and \textit{K. Huseyin}, Math. Model. Sci. Comput. 2(Sect.B), 876--881 (1993; Zbl 0794.70016)
Koepf, Wolfram Power series in computer algebra. (English) Zbl 0758.30026 J. Symb. Comput. 13, No. 6, 581-603 (1992). Reviewer: F.Schwarz (Paderborn) MSC: 30D30 30B10 68W30 30D05 PDFBibTeX XMLCite \textit{W. Koepf}, J. Symb. Comput. 13, No. 6, 581--603 (1992; Zbl 0758.30026) Full Text: DOI
Wang, S.; Huseyin, K. “MAPLE” analysis of nonlinear oscillations. (English) Zbl 0765.65076 Math. Comput. Modelling 16, No. 11, 49-57 (1992). Reviewer: B.Werner (Hamburg) MSC: 65L05 68W30 37-XX 34C25 34C15 PDFBibTeX XMLCite \textit{S. Wang} and \textit{K. Huseyin}, Math. Comput. Modelling 16, No. 11, 49--57 (1992; Zbl 0765.65076) Full Text: DOI
Reid, Gregory J. Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution. (English) Zbl 0768.35001 Eur. J. Appl. Math. 2, No. 4, 293-318 (1991). MSC: 35-04 68W30 35C10 PDFBibTeX XMLCite \textit{G. J. Reid}, Eur. J. Appl. Math. 2, No. 4, 293--318 (1991; Zbl 0768.35001) Full Text: DOI
Grotendorst, J. MAPLE programs for converting series expansions to rational functions using the Levin transformation. Automatic generation of FORTRAN functions for numerical applications. (English) Zbl 0798.65007 Comput. Phys. Commun. 55, No. 3, 325-335 (1989). MSC: 65B10 65D20 PDFBibTeX XMLCite \textit{J. Grotendorst}, Comput. Phys. Commun. 55, No. 3, 325--335 (1989; Zbl 0798.65007) Full Text: DOI