Miao, Qian; Wang, Yunhu; Chen, Yong; Yang, Yunqing PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. (English) Zbl 1344.37003 Comput. Phys. Commun. 185, No. 1, 357-367 (2014). MSC: 37-04 35Q53 37K35 37K05 37K20 37K10 PDFBibTeX XMLCite \textit{Q. Miao} et al., Comput. Phys. Commun. 185, No. 1, 357--367 (2014; Zbl 1344.37003) Full Text: DOI
Zima, Eugene V. Accelerating indefinite summation: simple classes of summands. (English) Zbl 1319.68260 Math. Comput. Sci. 7, No. 4, 455-472 (2013). MSC: 68W30 39-04 39A05 PDFBibTeX XMLCite \textit{E. V. Zima}, Math. Comput. Sci. 7, No. 4, 455--472 (2013; Zbl 1319.68260) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation. (English) Zbl 1221.35371 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466-1472 (2010). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466--1472 (2010; Zbl 1221.35371) Full Text: DOI
Golbabai, A.; Javidi, M. A spectral domain decomposition approach for the generalized Burger’s-Fisher equation. (English) Zbl 1197.65149 Chaos Solitons Fractals 39, No. 1, 385-392 (2009). MSC: 65M70 65L80 65M55 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{M. Javidi}, Chaos Solitons Fractals 39, No. 1, 385--392 (2009; Zbl 1197.65149) Full Text: DOI
Hon, Y. C.; Fan, E. G. A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. (English) Zbl 1172.35480 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3501-3508 (2009). MSC: 35Q53 35Q51 35B10 35C05 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{E. G. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 3501--3508 (2009; Zbl 1172.35480) Full Text: DOI
Lai, Shaoyong; Yin, Jun; Wu, Yonghong Different physical structures of solutions for two related Zakharov-Kuznetsov equations. (English) Zbl 1225.76305 Phys. Lett., A 372, No. 43, 6461-6468 (2008). MSC: 76W05 76Q05 76T15 68W30 35F31 35C07 PDFBibTeX XMLCite \textit{S. Lai} et al., Phys. Lett., A 372, No. 43, 6461--6468 (2008; Zbl 1225.76305) Full Text: DOI
Salas, Alvaro H. Symbolic computation of exact solutions to KdV equation. (English) Zbl 1200.35270 Can. Appl. Math. Q. 16, No. 4, 439-448 (2008). MSC: 35Q53 68W30 35-04 35A24 35C05 PDFBibTeX XMLCite \textit{A. H. Salas}, Can. Appl. Math. Q. 16, No. 4, 439--448 (2008; Zbl 1200.35270)
Steeb, Willi-Hans Continuous symmetries, Lie algebras, differential equations, and computer algebra. 2nd ed. (English) Zbl 1159.35001 Singapore: World Scientific (ISBN 978-981-270-809-0/hbk). xiv, 457 p. (2007). Reviewer: Werner M. Seiler (Kassel) MSC: 35-01 22E60 22E70 35A30 35Q51 37K05 37K10 37K35 68W30 58J70 PDFBibTeX XMLCite \textit{W.-H. Steeb}, Continuous symmetries, Lie algebras, differential equations, and computer algebra. 2nd ed. Singapore: World Scientific (2007; Zbl 1159.35001)
Abdou, M. A. The extended tanh method and its applications for solving nonlinear physical models. (English) Zbl 1123.65103 Appl. Math. Comput. 190, No. 1, 988-996 (2007). MSC: 65M70 35K55 35Q51 68W30 PDFBibTeX XMLCite \textit{M. A. Abdou}, Appl. Math. Comput. 190, No. 1, 988--996 (2007; Zbl 1123.65103) Full Text: DOI
Zhi, Hongyan; Zhang, Hongqing Applications of the combined tanh function method with symmetry method to the nonlinear evolution equations. (English) Zbl 1114.65356 Appl. Math. Comput. 188, No. 1, 385-393 (2007). MSC: 65M70 35Q55 68W30 PDFBibTeX XMLCite \textit{H. Zhi} and \textit{H. Zhang}, Appl. Math. Comput. 188, No. 1, 385--393 (2007; Zbl 1114.65356) Full Text: DOI
Zhang, Xiao-Ling; Zhang, Hongqing A new generalized Riccati equation rational expansion method to a class of nonlinear evolution equations with nonlinear terms of any order. (English) Zbl 1114.65125 Appl. Math. Comput. 186, No. 1, 705-714 (2007). MSC: 65M70 35K55 68W30 PDFBibTeX XMLCite \textit{X.-L. Zhang} and \textit{H. Zhang}, Appl. Math. Comput. 186, No. 1, 705--714 (2007; Zbl 1114.65125) Full Text: DOI
Zhi, Hongyan; Zhang, Hongqing New rational solitary wave solutions of \((2+1)\)-dimensional Burgers equation. (English) Zbl 1111.35320 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2264-2273 (2007). MSC: 35Q53 37K20 35C05 PDFBibTeX XMLCite \textit{H. Zhi} and \textit{H. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2264--2273 (2007; Zbl 1111.35320) Full Text: DOI
Huang, Ding-Jiang; Zhang, Hong-Qing New exact travelling waves solutions to the combined KdV-MKdV and generalized Zakharov equations. (English) Zbl 1104.35047 Rep. Math. Phys. 57, No. 2, 257-269 (2006). MSC: 35Q53 35C05 37K40 PDFBibTeX XMLCite \textit{D.-J. Huang} and \textit{H.-Q. Zhang}, Rep. Math. Phys. 57, No. 2, 257--269 (2006; Zbl 1104.35047) Full Text: DOI
Chen, Yong; Wang, Qi A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations. (English) Zbl 1088.65087 Appl. Math. Comput. 173, No. 2, 1163-1182 (2006). MSC: 65M70 35Q51 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 173, No. 2, 1163--1182 (2006; Zbl 1088.65087) Full Text: DOI
Baldwin, D.; Hereman, W.; Sayers, J. Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs. (English) Zbl 1080.65094 Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 17-32 (2005). MSC: 65M70 35Q53 65Y15 68W30 37K10 37K40 37K05 PDFBibTeX XMLCite \textit{D. Baldwin} et al., in: Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26--31, 2003. Providence, RI: American Mathematical Society (AMS). 17--32 (2005; Zbl 1080.65094) Full Text: arXiv
Chen, Yong; Wang, Qi A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation. (English) Zbl 1082.65578 Appl. Math. Comput. 168, No. 2, 1189-1204 (2005). MSC: 65M70 35L75 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 168, No. 2, 1189--1204 (2005; Zbl 1082.65578) Full Text: DOI
Chen, Yong; Wang, Qi A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the \((2 + 1\))-dimensional dispersive long wave equation. (English) Zbl 1082.65577 Appl. Math. Comput. 167, No. 2, 919-929 (2005). MSC: 65M70 35L75 68W30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Appl. Math. Comput. 167, No. 2, 919--929 (2005; Zbl 1082.65577) Full Text: DOI
Lai, Xianjing; Zhang, Jiefang On shifted periodic solutions of two nonlinear equations. (English) Zbl 1070.35064 Chaos Solitons Fractals 23, No. 4, 1399-1404 (2005). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{X. Lai} and \textit{J. Zhang}, Chaos Solitons Fractals 23, No. 4, 1399--1404 (2005; Zbl 1070.35064) Full Text: DOI
Baldwin, D.; Göktaş, Ü.; Hereman, W. Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations. (English) Zbl 1196.68324 Comput. Phys. Commun. 162, No. 3, 203-217 (2004). MSC: 68W30 35Lxx 39Axx PDFBibTeX XMLCite \textit{D. Baldwin} et al., Comput. Phys. Commun. 162, No. 3, 203--217 (2004; Zbl 1196.68324) Full Text: DOI arXiv
Baldwin, D.; Göktaş, Ü.; Hereman, W.; Hong, L.; Martino, R. S.; Miller, J. C. Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs. (English) Zbl 1137.35324 J. Symb. Comput. 37, No. 6, 669-705 (2004). MSC: 35C05 35-04 35G20 68W30 PDFBibTeX XMLCite \textit{D. Baldwin} et al., J. Symb. Comput. 37, No. 6, 669--705 (2004; Zbl 1137.35324) Full Text: DOI arXiv
Kaya, Doǧan; Inan, Ibrahim E. Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation. (English) Zbl 1048.65096 Appl. Math. Comput. 151, No. 3, 775-787 (2004). MSC: 65M70 65M12 35Q53 68W30 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{I. E. Inan}, Appl. Math. Comput. 151, No. 3, 775--787 (2004; Zbl 1048.65096) Full Text: DOI
Inc, M.; Evans, D. J. On travelling wave solutions of some nonlinear evolution equations. (English) Zbl 1047.65091 Int. J. Comput. Math. 81, No. 2, 191-202 (2004). MSC: 65M70 35K55 35Q53 68W30 PDFBibTeX XMLCite \textit{M. Inc} and \textit{D. J. Evans}, Int. J. Comput. Math. 81, No. 2, 191--202 (2004; Zbl 1047.65091) Full Text: DOI
Fan, Engui; Dai, H. H. A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. (English) Zbl 1196.35182 Comput. Phys. Commun. 153, No. 1, 17-30 (2003). MSC: 35Q53 68W30 35C05 35G20 PDFBibTeX XMLCite \textit{E. Fan} and \textit{H. H. Dai}, Comput. Phys. Commun. 153, No. 1, 17--30 (2003; Zbl 1196.35182) Full Text: DOI
Fan, Enguiu; Hon, Y. C. A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. (English) Zbl 1031.76008 Chaos Solitons Fractals 15, No. 3, 559-566 (2003). MSC: 76B15 35Q35 76B25 35Q51 PDFBibTeX XMLCite \textit{E. Fan} and \textit{Y. C. Hon}, Chaos Solitons Fractals 15, No. 3, 559--566 (2003; Zbl 1031.76008) Full Text: DOI
Hon, Y. C.; Fan, E. G. Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. (English) Zbl 1038.35092 Appl. Math. Comput. 146, No. 2-3, 813-827 (2003). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{E. G. Fan}, Appl. Math. Comput. 146, No. 2--3, 813--827 (2003; Zbl 1038.35092) Full Text: DOI
Li, Zhi-Bin; Liu, Yin-Ping RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations. (English) Zbl 1196.35008 Comput. Phys. Commun. 148, No. 2, 256-266 (2002). MSC: 35-04 35Q35 68W30 PDFBibTeX XMLCite \textit{Z.-B. Li} and \textit{Y.-P. Liu}, Comput. Phys. Commun. 148, No. 2, 256--266 (2002; Zbl 1196.35008) Full Text: DOI
Willsi, Barton L. An extensible differential equation solver. (English) Zbl 1054.65073 SIGSAM Bull. 35, No. 1, 3-7 (2001). MSC: 65L05 34A30 68W30 PDFBibTeX XMLCite \textit{B. L. Willsi}, SIGSAM Bull. 35, No. 1, 3--7 (2001; Zbl 1054.65073) Full Text: DOI
Lafferriere, Gerardo; Pappas, George J.; Yovine, Sergio Symbolic reachability computation for families of linear vector fields. (English) Zbl 0983.93004 J. Symb. Comput. 32, No. 3, 231-253 (2001). Reviewer: Lars Grüne (Frankfurt) MSC: 93B03 93B40 93C65 03C10 93C15 68W30 93B60 03D80 PDFBibTeX XMLCite \textit{G. Lafferriere} et al., J. Symb. Comput. 32, No. 3, 231--253 (2001; Zbl 0983.93004) Full Text: DOI
Yagasaki, K. Detection of bifurcation structures by higher-order averaging for Duffing’s equation. (English) Zbl 0944.70017 Nonlinear Dyn. 18, No. 2, 129-158 (1999). MSC: 70K40 70K50 34C23 68W30 70K65 PDFBibTeX XMLCite \textit{K. Yagasaki}, Nonlinear Dyn. 18, No. 2, 129--158 (1999; Zbl 0944.70017) Full Text: DOI
Stroeker, Roelof J.; Kaashoek, Johan F. [Hoogerheide, L. F.] Discovering mathematics with Maple. An interactive exploration for mathematicians, engineers and econometricians. With the assistance of L. F. Hoogerheide. Incl. 1 CD-ROM. (English) Zbl 0924.65003 Basel: Birkhäuser. xvii, 227 p. (1999). Reviewer: Matti Vuorinen (Helsinki) MSC: 65-01 68W30 65Fxx 68-01 65Dxx 00A06 65C99 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{J. F. Kaashoek}, Discovering mathematics with Maple. An interactive exploration for mathematicians, engineers and econometricians. With the assistance of L. F. Hoogerheide. Incl. 1 CD-ROM. Basel: Birkhäuser (1999; Zbl 0924.65003)
Seiler, Werner M. Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations. (English) Zbl 1017.70505 Math. Comput. Simul. 45, No. 5-6, 561-576 (1998). MSC: 70H05 34A09 65L05 65P10 70-08 70H45 PDFBibTeX XMLCite \textit{W. M. Seiler}, Math. Comput. Simul. 45, No. 5--6, 561--576 (1998; Zbl 1017.70505) Full Text: DOI
Calmet, J.; Seiler, W. M. Computer algebra and field theories. (English) Zbl 1017.68952 Math. Comput. Simul. 45, No. 1-2, 33-37 (1998). MSC: 68W30 68T01 81-04 PDFBibTeX XMLCite \textit{J. Calmet} and \textit{W. M. Seiler}, Math. Comput. Simul. 45, No. 1--2, 33--37 (1998; Zbl 1017.68952) Full Text: DOI
Benker, Hans Engineering mathematics with computer algebra systems. The applications: AXIOM, DERIVE, MACSYMA, MAPLE, MATHCAD, MATHEMATICA, MATLAB UND MuPAD. (Ingenieurmathematik mit Computeralgebra-Systemen. AXIOM, DERIVE, MACSYMA, MAPLE, MATHCAD, MATHEMATICA, MATLAB und MuPAD in der Anwendung.) (German) Zbl 0909.68109 Reihe Ausbildung und Studium. Braunschweig: Vieweg. xiii, 439 S. (1998). Reviewer: Helmut Köcher (Dresden) MSC: 68W30 68-01 00A06 68-04 65D18 PDFBibTeX XMLCite \textit{H. Benker}, Ingenieurmathematik mit Computeralgebra-Systemen. AXIOM, DERIVE, MACSYMA, MAPLE, MATHCAD, MATHEMATICA, MATLAB und MuPAD in der Anwendung. Braunschweig: Vieweg (1998; Zbl 0909.68109)
Hereman, Willy; Nuseir, Ameina Symbolic methods to construct exact solutions of nonlinear partial differential equations. (English) Zbl 0866.65063 Math. Comput. Simul. 43, No. 1, 13-27 (1997). MSC: 65M70 35Q51 68W30 PDFBibTeX XMLCite \textit{W. Hereman} and \textit{A. Nuseir}, Math. Comput. Simul. 43, No. 1, 13--27 (1997; Zbl 0866.65063) Full Text: DOI
Kavian, Masoud; McLenaghan, R. G.; Geddes, K. O. MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation. (English) Zbl 0923.53002 Lakshman, Y. N. (ed.), Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC ’96, Zürich, Switzerland, July 24–26, 1996. New York, NY: ACM Press. 204-211 (1996). Reviewer: Vladimir Yu.Rovenskij (Haifa) MSC: 53-04 68W30 53A45 83-04 83C22 83F05 58A10 PDFBibTeX XMLCite \textit{M. Kavian} et al., in: Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC '96, Zürich, Switzerland, July 24--26, 1996. New York, NY: ACM Press. 204--211 (1996; Zbl 0923.53002)
Braun, Stefan; Häuser, Harald Macsyma version 2. System- and practice-oriented introduction with application examples (including a disc). (Macsyma Version 2. Systemnahe und praxisnahe Einführung mit Anwendungsbeispielen (inkl. Diskette).) (German) Zbl 0833.65002 Bonn: Addison-Wesley Publishing Co. 439 S. (1995). Reviewer: B.Hamann (Mississippi State) MSC: 65-01 00A06 68W30 65D18 65E05 65C99 68N20 65Fxx 65Dxx 65R10 65Lxx PDFBibTeX XMLCite \textit{S. Braun} and \textit{H. Häuser}, Macsyma Version 2. Systemnahe und praxisnahe Einführung mit Anwendungsbeispielen (inkl. Diskette). Bonn: Addison-Wesley Publishing Co. (1995; Zbl 0833.65002)
Roesner, K. G. Verified solutions for parameters of an exact solution for non-Newtonian liquids using computer algebra. (English) Zbl 0849.76067 Z. Angew. Math. Mech. 75, Suppl. 2, S435-S438 (1995). Reviewer: J.Siekmann (Essen) MSC: 76M25 76A05 68W30 PDFBibTeX XMLCite \textit{K. G. Roesner}, Z. Angew. Math. Mech. 75, S435--S438 (1995; Zbl 0849.76067)
Hereman, W.; Zhuang, W. Symbolic software for soliton theory. (English) Zbl 0838.35111 Acta Appl. Math. 39, No. 1-3, 361-378 (1995). MSC: 35Q51 34-04 35Q53 35C05 68W30 35-04 PDFBibTeX XMLCite \textit{W. Hereman} and \textit{W. Zhuang}, Acta Appl. Math. 39, No. 1--3, 361--378 (1995; Zbl 0838.35111) Full Text: DOI
Man, Yiu-Kwong Computing closed form solutions of first order ODEs using the Prelle- Singer procedure. (English) Zbl 0793.34002 J. Symb. Comput. 16, No. 5, 423-443 (1993). MSC: 34A05 34-04 68W30 PDFBibTeX XMLCite \textit{Y.-K. Man}, J. Symb. Comput. 16, No. 5, 423--443 (1993; Zbl 0793.34002) Full Text: DOI
Gilbert, R. P.; Thejll, Peter Solving elliptic equations in three dimensions using symbolic manipulation. (English) Zbl 0816.65087 Kühnau, R. (ed.) et al., Geometric function theory and applications of complex analysis and its applications to partial differential equations 2. Proceedings, 5th conference, held in Halle (GDR), in December 1988. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 257, 203-216 (1993). Reviewer: H.Begehr (Berlin) MSC: 65N38 65N35 65N15 68W30 35J25 35-04 PDFBibTeX XMLCite \textit{R. P. Gilbert} and \textit{P. Thejll}, Pitman Res. Notes Math. Ser. 257, 203--216 (1993; Zbl 0816.65087)
Olver, Peter J. Applications of Lie groups to differential equations. 2nd ed. (English) Zbl 0785.58003 Graduate Texts in Mathematics. 107. New York: Springer-Verlag. xxviii, 513 p. (1993). Reviewer: Antonín Vaněček (Praha) MSC: 58-02 35-02 58J70 35A30 35Q53 58J40 35K05 35S05 22E70 PDFBibTeX XMLCite \textit{P. J. Olver}, Applications of Lie groups to differential equations. 2nd ed. New York: Springer-Verlag (1993; Zbl 0785.58003) Backlinks: MO
Mills, Harry S. D. Symbolically precise solutions to a homogeneous second order matrix ordinary differential equation with Macsyma. (English) Zbl 0769.34002 J. Symb. Comput. 15, No. 1, 91-98 (1993). MSC: 34A05 68W30 PDFBibTeX XMLCite \textit{H. S. D. Mills}, J. Symb. Comput. 15, No. 1, 91--98 (1993; Zbl 0769.34002) Full Text: DOI
Carminati, John; Devitt, John S.; Fee, Greg J. Isogroups of differential equations using algebraic computing. (English) Zbl 0796.35001 J. Symb. Comput. 14, No. 1, 103-120 (1992). MSC: 35-04 68W30 35A30 PDFBibTeX XMLCite \textit{J. Carminati} et al., J. Symb. Comput. 14, No. 1, 103--120 (1992; Zbl 0796.35001) Full Text: DOI
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
Coffey, Mark W. Phase space analysis for the direct algebraic method for nonlinear evolution and wave equations. (English) Zbl 0758.70015 SIAM J. Appl. Math. 52, No. 4, 929-945 (1992). Reviewer: F.Selig (Bronxville) MSC: 70K05 70G10 35Q53 PDFBibTeX XMLCite \textit{M. W. Coffey}, SIAM J. Appl. Math. 52, No. 4, 929--945 (1992; Zbl 0758.70015) Full Text: DOI
Rand, R. H.; Pak, C. H.; Vakakis, A. F. Bifurcation of nonlinear normal modes in a class of two degree of freedom systems. (English) Zbl 0793.70014 Acta Mech., Suppl. 3, 129-146 (1992). Reviewer: H.Troger (Wien) MSC: 70K20 34C23 70K30 68W30 34C25 PDFBibTeX XMLCite \textit{R. H. Rand} et al., Acta Mech., 129--146 (1992; Zbl 0793.70014)
Hereman, W.; Zhuang, W. Symbolic computation of solitons with Macsyma. (English) Zbl 0765.35048 Computational and applied mathematics, II: Differential equations, Sel. Rev. Pap. IMACS 13th World Congr., Dublin/Irel. 1991, 287-296 (1992). MSC: 35Q51 68W30 35Q53 35Q55 PDFBibTeX XMLCite \textit{W. Hereman} and \textit{W. Zhuang}, in: Computational and applied mathematics, II: Differential equations. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. Amsterdam: North-Holland. 287--296 (1992; Zbl 0765.35048)
Painter, Jeffrey F. The matrix editor for symbolic Jacobians in ALPAL. (English) Zbl 0919.65094 Wang, Paul S. (ed.), International symposium on Symbolic and algebraic computation 92. ISSAC 92. Berkeley, CA, USA, July 27–29, 1992. Baltimore, MD: ACM Press. 312-319 (1992). MSC: 65R20 45J05 45G10 65Y15 68W30 PDFBibTeX XMLCite \textit{J. F. Painter}, in: International symposium on Symbolic and algebraic computation 92. ISSAC 92. Berkeley, CA, USA, July 27--29, 1992. Baltimore, MD: ACM Press. 312--319 (1992; Zbl 0919.65094)
Coppola, Vincent T.; Rand, Richard H. MACSYMA program to implement averging using elliptic functions. (English) Zbl 0741.65055 Computer aided proofs in analysis, Proc. IMA Participating Inst. Conf., Cincinnati/OH (USA), IMA Vol. Math. Appl. 28, 71-89 (1991). MSC: 65L05 34A34 33E05 68W30 34C15 34C29 PDFBibTeX XMLCite \textit{V. T. Coppola} and \textit{R. H. Rand}, IMA Vol. Math. Appl. 28, 71--89 (1991; Zbl 0741.65055)
Kwok, Yue-Kuen Application of MACSYMA to solutions of ordinary differential equations. (English) Zbl 0748.34003 Int. J. Math. Educ. Sci. Technol. 22, No. 6, 877-888 (1991). MSC: 34A05 68W30 PDFBibTeX XMLCite \textit{Y.-K. Kwok}, Int. J. Math. Educ. Sci. Technol. 22, No. 6, 877--888 (1991; Zbl 0748.34003) Full Text: DOI
Heller, Barbara MACSYMA for statisticians. (English) Zbl 0778.62002 Wiley Series in Probability and Mathematical Statistics. Applied Probability and Statistics. New York etc.: John Wiley & Sons. xiv, 246 p. (1991). Reviewer: S.R.Wilson (Canberra) MSC: 62-04 62-01 65C99 PDFBibTeX XMLCite \textit{B. Heller}, MACSYMA for statisticians. New York etc.: John Wiley \&| Sons (1991; Zbl 0778.62002)
Pommaret, Jean-François; Haddak, Akli Effective methods for systems of algebraic partial differential equations. (English) Zbl 0734.13014 Effective methods in algebraic geometry, Proc. Symp., Castiglioncello/Italy 1990, Prog. Math. 94, 411-426 (1991). Reviewer: J.-F.Pommaret MSC: 13N05 35-04 58J10 13P99 PDFBibTeX XML
Oussous, Nour Eddine Macsyma computation of local minimal realization of dynamical systems of which generating power series are finite. (English) Zbl 0726.93001 J. Symb. Comput. 12, No. 1, 115-126 (1991). MSC: 93-04 68W30 93C15 PDFBibTeX XMLCite \textit{N. E. Oussous}, J. Symb. Comput. 12, No. 1, 115--126 (1991; Zbl 0726.93001) Full Text: DOI
Kertész, V.; Kooij, R. E. Degenerate Hopf bifurcation in two dimensions. (English) Zbl 0735.34031 Nonlinear Anal., Theory Methods Appl. 17, No. 3, 267-283 (1991). Reviewer: A.Vanderbauwhede (Gent) MSC: 34C23 68W30 92E20 PDFBibTeX XMLCite \textit{V. Kertész} and \textit{R. E. Kooij}, Nonlinear Anal., Theory Methods Appl. 17, No. 3, 267--283 (1991; Zbl 0735.34031) Full Text: DOI
Franke, Jeffery M.; Stech, Harlan W. Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations. (English) Zbl 0739.34032 Delay differential equations and dynamical systems, Proc. Conf., Claremont/CA (USA) 1990, Lect. Notes Math. 1475, 161-175 (1991). Reviewer: H.-J.Bangen (Immenstaad) MSC: 34C23 34K99 45J05 68W30 PDFBibTeX XMLCite \textit{J. M. Franke} and \textit{H. W. Stech}, Lect. Notes Math. None, 161--175 (1991; Zbl 0739.34032)
Champagne, B.; Hereman, W.; Winternitz, P. The computer calculation of Lie point symmetries of large systems of differential equations. (English) Zbl 0875.65079 Comput. Phys. Commun. 66, No. 2-3, 319-340 (1991). MSC: 65L99 34-04 68W30 34A25 PDFBibTeX XMLCite \textit{B. Champagne} et al., Comput. Phys. Commun. 66, No. 2--3, 319--340 (1991; Zbl 0875.65079) Full Text: DOI
Singer, Michael F. Formal solutions of differential equations. (English) Zbl 0727.12011 J. Symb. Comput. 10, No. 1, 59-94 (1990). Reviewer: N. V. Grigorenko (Kiev) MSC: 12H05 34A05 68W30 34E05 34-02 12-02 PDFBibTeX XMLCite \textit{M. F. Singer}, J. Symb. Comput. 10, No. 1, 59--94 (1990; Zbl 0727.12011) Full Text: DOI
Schlomiuk, Dana Algebraic integrals of quadratic systems with a weak focus. (English) Zbl 0714.34013 Bifurcations of planar vector fields, Proc. Meet., Luminy/Fr. 1989, Lect. Notes Math. 1455, 373-384 (1990). MSC: 34A25 34C05 34C23 34A34 34A05 PDFBibTeX XML
Coffey, Mark W. On series expansions giving closed-form solutions of Korteweg-de Vries- like equations. (English) Zbl 0712.76025 SIAM J. Appl. Math. 50, No. 6, 1580-1592 (1990). MSC: 76B25 35Q53 35C05 PDFBibTeX XMLCite \textit{M. W. Coffey}, SIAM J. Appl. Math. 50, No. 6, 1580--1592 (1990; Zbl 0712.76025) Full Text: DOI
Luppi, Jussi; Pajunen, Petri Symbolic computation and automatic FORTRAN code generation for eigenvalue determination by phase integral method. (English) Zbl 0703.65047 J. Comput. Phys. 88, No. 1, 15-30 (1990). Reviewer: L.M.Berkovich MSC: 65L15 34L40 34L15 68W30 81Q05 PDFBibTeX XMLCite \textit{J. Luppi} and \textit{P. Pajunen}, J. Comput. Phys. 88, No. 1, 15--30 (1990; Zbl 0703.65047) Full Text: DOI
Chow, Shui-Nee; Drachman, Byron; Wang, Duo Computation of normal forms. (English) Zbl 0687.65075 J. Comput. Appl. Math. 29, No. 2, 129-143 (1990). Reviewer: A.de Castro MSC: 65L05 68W30 37-XX 34A34 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., J. Comput. Appl. Math. 29, No. 2, 129--143 (1990; Zbl 0687.65075) Full Text: DOI
Thejll, P.; Gilbert, R. P. The use of MACSYMA for solving elliptic boundary value problems. (English) Zbl 0742.65080 Z. Angew. Math. Mech. 70, No. 11, 479-488 (1990). Reviewer: A.Pomp (Stuttgart) MSC: 65N45 68W30 35J25 PDFBibTeX XMLCite \textit{P. Thejll} and \textit{R. P. Gilbert}, Z. Angew. Math. Mech. 70, No. 11, 479--488 (1990; Zbl 0742.65080) Full Text: DOI
Sasai, Takao The determination of finite monodromy groups of generalized hypergeometric equations and the formula processing system MACSYMA. (Japanese) Zbl 0745.33007 Sûgaku 41, No. 3, 263-269 (1989). Reviewer: Y.Kuo (Knoxville) MSC: 33C99 14Q99 PDFBibTeX XMLCite \textit{T. Sasai}, Sūgaku 41, No. 3, 263--269 (1989; Zbl 0745.33007)
Coppola, V. T.; Rand, R. H. Computer algebra implementation of Lie transforms for Hamiltonian systems: Application to the nonlinear stability of \(L_ 4\). (English) Zbl 0696.70015 Z. Angew. Math. Mech. 69, No. 9, 275-284 (1989). MSC: 70K20 70H05 68W30 PDFBibTeX XMLCite \textit{V. T. Coppola} and \textit{R. H. Rand}, Z. Angew. Math. Mech. 69, No. 9, 275--284 (1989; Zbl 0696.70015) Full Text: DOI
Coppola, Vincent T.; Rand, Richard H. Symbolic computation and perturbation methods using elliptic functions. (English) Zbl 0689.33002 Applied mathematics and computing, Trans. 6th Army Conf., Boulder/Colo. 1988, ARO Rep. 89-1, 639-676 (1989). Reviewer: N.Kostov MSC: 33E05 34C05 68W30 34C99 PDFBibTeX XML
Sterling, Leon; Bundy, Alan; Byrd, Lawrence; O’Keefe, Richard; Silver, Bernard Solving symbolic equations with PRESS. (English) Zbl 0668.68035 J. Symb. Comput. 7, No. 1, 71-84 (1989). Reviewer: D.Yu.Gregor’ev MSC: 68W30 PDFBibTeX XMLCite \textit{L. Sterling} et al., J. Symb. Comput. 7, No. 1, 71--84 (1989; Zbl 0668.68035) Full Text: DOI
Phelps, Andrew R.; Krener, Arthur J. Computation of observer normal form using Macsyma. (English) Zbl 0672.93026 Analysis and control of nonlinear systems, Sel. Pap. 8th Int. Symp. Math. Networks Syst., Phoenix/Ariz. 1987, 475-482 (1988). MSC: 93B40 68W30 93B07 93C10 93C15 PDFBibTeX XML
Campbell, Graham H. Symbolic integration of expressions involving unspecified functions. (English) Zbl 0665.12023 SIGSAM Bull. 22, No. 1, 25-27 (1988). Reviewer: R.M.Cohn MSC: 12H05 12H20 12-04 68W30 65Z05 PDFBibTeX XMLCite \textit{G. H. Campbell}, SIGSAM Bull. 22, No. 1, 25--27 (1988; Zbl 0665.12023) Full Text: DOI
Fateman, Richard; Bundy, Alan; O’Keefe, Richard; Sterling, Leon Commentary on: Solving symbolic equations with PRESS. (English) Zbl 0651.68042 SIGSAM Bull. 22, No. 2, 27-40 (1988). MSC: 68W30 65H05 PDFBibTeX XMLCite \textit{R. Fateman} et al., SIGSAM Bull. 22, No. 2, 27--40 (1988; Zbl 0651.68042) Full Text: DOI
Ojika, Takeo A numerical method for branch points of a system of nonlinear algebraic equations. (English) Zbl 0646.65045 Appl. Numer. Math. 4, No. 5, 419-430 (1988). Reviewer: G.Merz MSC: 65H17 PDFBibTeX XMLCite \textit{T. Ojika}, Appl. Numer. Math. 4, No. 5, 419--430 (1988; Zbl 0646.65045) Full Text: DOI
Fuchssteiner, Benno; Oevel, Walter; Wiwianka, Waldemar Computer-algebra methods for investigation of hereditary operators of higher order soliton equations. (English) Zbl 0664.65118 Comput. Phys. Commun. 44, No. 1-2, 47-55 (1987). MSC: 65Z05 81Q05 81R10 35Q99 68W30 PDFBibTeX XMLCite \textit{B. Fuchssteiner} et al., Comput. Phys. Commun. 44, No. 1--2, 47--55 (1987; Zbl 0664.65118) Full Text: DOI
Steinberg, Stanly; Roache, Patrick J. A toolkit of symbol manipulation programs for variational grid generation. (English) Zbl 0641.68055 Applied mathematics and computing, Trans. 4th Army Conf., Ithaca/N.Y. 1986, ARO Rep. 87-1, 515-531 (1987). MSC: 68W30 65N06 PDFBibTeX XML
Chan, Fung Yee Symbolic computing. (English) Zbl 0624.62100 Insur. Math. Econ. 6, 203-212 (1987). MSC: 62P05 68W30 65C99 62-04 PDFBibTeX XMLCite \textit{F. Y. Chan}, Insur. Math. Econ. 6, 203--212 (1987; Zbl 0624.62100) Full Text: DOI
Caviness, B. F. Computer algebra: Past and future. (English) Zbl 0636.68033 J. Symb. Comput. 2, 217-236 (1986). MSC: 68W30 68-02 PDFBibTeX XMLCite \textit{B. F. Caviness}, J. Symb. Comput. 2, 217--236 (1986; Zbl 0636.68033) Full Text: DOI
Kwatny, Harry G.; Pasrija, Arun K.; Bahar, Leon Y. Static bifurcations in electric power networks: loss of steady-state stability and voltage collapse. (English) Zbl 0621.94024 IEEE Trans. Circuits Syst. 33, 981-991 (1986). MSC: 94C05 34D20 68W30 PDFBibTeX XMLCite \textit{H. G. Kwatny} et al., IEEE Trans. Circuits Syst. 33, 981--991 (1986; Zbl 0621.94024) Full Text: DOI
Olver, Peter J. Applications of Lie groups to differential equations. (English) Zbl 0588.22001 Graduate Texts in Mathematics, 107. New York etc.: Springer-Verlag. XXVI, 497 p. DM 158.00 (1986). Reviewer: Antonín Vaněček (Praha) MSC: 58-02 35-02 58J70 35A30 35Q31 35Q53 35K05 37J45 37K35 37L05 22E70 PDFBibTeX XML
Caviness, B. F. Computer algebra: Past and future. (English) Zbl 0627.68036 Computer algebra, EUROCAL ’85, Proc. Eur. Conf., Linz/Austria 1985, Vol. 1, Lect. Notes Comput. Sci. 203, 1-18 (1985). Reviewer: G.Matthiessen MSC: 68W30 68-02 PDFBibTeX XML
Murzin, F. A. Syntactic properties of the REFAL language. (English) Zbl 0585.68049 Int. J. Comput. Math. 17, 123-139 (1985). Reviewer: A.Kushkuley MSC: 68W30 PDFBibTeX XMLCite \textit{F. A. Murzin}, Int. J. Comput. Math. 17, 123--139 (1985; Zbl 0585.68049) Full Text: DOI
Lehmann, N. Joachim Die analytische Maschine. Grundlagen einer Computer-Analytik. (German) Zbl 0573.65061 Sitzungsberichte der Sächsischen Akademie der Wissenschaften zu Leipzig. Mathematisch-Naturwissenschaftliche Klasse 118, 4. Berlin: Akademie-Verlag. 64 S. (1985). Reviewer: E.Kreyszig MSC: 65L05 65G50 68W30 PDFBibTeX XMLCite \textit{N. J. Lehmann}, Die analytische Maschine. Grundlagen einer Computer-Analytik. Berlin: Akademie-Verlag (1985; Zbl 0573.65061) Full Text: DOI
Singer, Michael F. Solving homogeneous linear differential equations in terms of second order linear differential equations. (English) Zbl 0564.12022 Am. J. Math. 107, 663-696 (1985). Reviewer: N. V. Grigorenko MSC: 12H05 12H20 34G10 68W30 PDFBibTeX XMLCite \textit{M. F. Singer}, Am. J. Math. 107, 663--696 (1985; Zbl 0564.12022) Full Text: DOI
Kaltofen, Erich; Yui, Noriko Explicit construction of the Hilbert class fields of imaginary quadratic fields with class numbers 7 and 11. (English) Zbl 0583.12007 EUROSAM 84, Symbolic and algebraic computation, Proc. int. Symp., Cambridge/Engl. 1984, Lect. Notes Comput. Sci. 174, 310-320 (1984). MSC: 11R37 68W30 11R32 11R11 11R23 PDFBibTeX XML
Chou, Shang-Ching Proving elementary geometry theorems using Wu’s algorithm. (English) Zbl 0578.68079 Automated theorem proving, Proc. Spec. Sess., 89th Meet. Am. Math. Soc., Denver/Colo. 1983, Contemp. Math. 29, 243-286 (1984). Reviewer: M.M.Richter MSC: 68T15 03B30 51-04 14-04 PDFBibTeX XML
Derman, Emanuel; van Wyk, Christopher J. A simple equation solver and its application to financial modelling. (English) Zbl 0547.68040 Softw., Pract. Exper. 14, 1169-1181 (1984). MSC: 68W30 65F30 91B28 68U20 65H10 PDFBibTeX XMLCite \textit{E. Derman} and \textit{C. J. van Wyk}, Softw., Pract. Exper. 14, 1169--1181 (1984; Zbl 0547.68040) Full Text: DOI
Lamnabhi-Lagarrigue, F.; Lamnabhi, M. Algebraic computation of the solution of some nonlinear differential equations. (English) Zbl 0549.34018 Computer algebra, EUROCAM ’82, Conf. Marseille/France 1982, Lect. Notes Comput. Sci. 144, 204-211 (1982). MSC: 65J99 68W30 34A05 34A34 PDFBibTeX XML
Wirth, Michael C. Automatic generation of finite difference equations and Fourier stability analysis. (English) Zbl 0523.65076 Symbolic and algebraic computation, Proc. ACM Symp., Snowbird/Utah 1981, 73-78 (1981). MSC: 65N22 65N50 65Y99 35K60 PDFBibTeX XML
Saunders, B. David An implementation of Kovacic’s algorithm for solving second order linear homogeneous differential equations. (English) Zbl 0486.68023 Symbolic and algebraic computation, Proc. ACM Symp., Snowbird/Utah 1981, 105-108 (1981). MSC: 68W30 12H20 34A05 12-04 34-04 PDFBibTeX XML
Rosen, Bernard Operator method for the perturbative solution of ordinary differential equations. (English) Zbl 0392.34037 Comput. Math. Appl. 4, 225-235 (1978). MSC: 34E10 34D10 65L07 76X05 PDFBibTeX XMLCite \textit{B. Rosen}, Comput. Math. Appl. 4, 225--235 (1978; Zbl 0392.34037) Full Text: DOI
Moenck, Robert T. On the efficiency of algorithms for polynomials factoring. (English) Zbl 0348.65045 Math. Comput. 31, 235-250 (1977). MSC: 65H05 65G50 68W30 68Q25 11C08 11T06 PDFBibTeX XMLCite \textit{R. T. Moenck}, Math. Comput. 31, 235--250 (1977; Zbl 0348.65045) Full Text: DOI
Zippel, Richard E. Univariate power series expansions in algebraic manipulation. (English) Zbl 0454.30003 Symbolic and algebraic computation, Proc. 1976 ACM Symp., Yorktown Heights/N.Y., 198-208 (1976). MSC: 30B10 68W30 30-04 PDFBibTeX XML
Watanabe, Shunro Formula manipulations solving linear ordinary differential equations. II. (English) Zbl 0339.68037 Publ. Res. Inst. Math. Sci., Kyoto Univ. 11, 297-337 (1976). MSC: 68W30 65Lxx 34A05 34A30 65J99 PDFBibTeX XMLCite \textit{S. Watanabe}, Publ. Res. Inst. Math. Sci. 11, 297--337 (1976; Zbl 0339.68037) Full Text: DOI