-
1
-
-
0004171145
-
-
CRC Press, Boca Raton, FL, 1996. New trends in theoretical developments and computational methods
-
R. L. Anderson, V. A. Baikov, R. K. Gazizov, W. Hereman, N. H. Ibragimov, F. M. Mahomed, S. V. Meleshko, M. C. Nucci, P. J. Olver, M. B. Sheftel, A. V. Turbiner, and E. M. Vorob'ev. CRC handbook of Lie group analysis of differential equations. Vol. 3. CRC Press, Boca Raton, FL, 1996. New trends in theoretical developments and computational methods.
-
CRC Handbook of Lie Group Analysis of Differential Equations
, vol.3
-
-
Anderson, R.L.1
Baikov, V.A.2
Gazizov, R.K.3
Hereman, W.4
Ibragimov, N.H.5
Mahomed, F.M.6
Meleshko, S.V.7
Nucci, M.C.8
Olver, P.J.9
Sheftel, M.B.10
Turbiner, A.V.11
Vorob'Ev, E.M.12
-
4
-
-
27644575753
-
Reasonning about surfaces using differential zero and ideal decomposition
-
J. Richet-Gebert and D. Wang, editors, ADG 2000, number 2061
-
P. Aubry and D. Wang. Reasonning about surfaces using differential zero and ideal decomposition. In J. Richet-Gebert and D. Wang, editors, ADG 2000, number 2061 in LNAI, pages 154-174, 2001.
-
(2001)
LNAI
, pp. 154-174
-
-
Aubry, P.1
Wang, D.2
-
8
-
-
1542268049
-
-
Symbolic Computation Group, University of Waterloo, Ontario, Canada
-
F. Boulier and E. Hubert. DIFFALG: description, help pages and examples of use. Symbolic Computation Group, University of Waterloo, Ontario, Canada, 1998. Now available at http://www.inria.fr/cafe/Evelyne.Hubert/webdiffalg.
-
(1998)
DIFFALG: Description, Help Pages and Examples of Use
-
-
Boulier, F.1
Hubert, E.2
-
9
-
-
0029182270
-
Representation for the radical of a finitely generated differential ideal
-
A. H. M. Levelt, editor, ACM Press, New York
-
F. Boulier, D. Lazard, F. Ollivier, and M. Petitot. Representation for the radical of a finitely generated differential ideal. In A. H. M. Levelt, editor, ISSAC'95. ACM Press, New York, 1995.
-
(1995)
ISSAC'95
-
-
Boulier, F.1
Lazard, D.2
Ollivier, F.3
Petitot, M.4
-
10
-
-
0003921310
-
-
Technical Report IT-306, LIFL
-
F. Boulier, D. Lazard, F. Ollivier, and M. Petitot. Computing representations for radicals of finitely generated differential ideals. Technical Report IT-306, LIFL, 1997.
-
(1997)
Computing Representations for Radicals of Finitely Generated Differential Ideals
-
-
Boulier, F.1
Lazard, D.2
Ollivier, F.3
Petitot, M.4
-
11
-
-
0033659532
-
Computing canonical representatives of regular differential ideals
-
C. Traverse, editor, ACM-SIGSAM, ACM
-
F. Boulier and F. Lemaire. Computing canonical representatives of regular differential ideals. In C. Traverse, editor, ISSAC. ACM-SIGSAM, ACM, 2000.
-
(2000)
ISSAC
-
-
Boulier, F.1
Lemaire, F.2
-
13
-
-
0346789752
-
Unmixed-dimensional decomposition of a finitely generated perfect differential ideal
-
D. Bouziane, A. Kandri Rody, and H. Maârouf. Unmixed-dimensional decomposition of a finitely generated perfect differential ideal. Journal of Symbolic Computation, 31(6):631-649, 2001.
-
(2001)
Journal of Symbolic Computation
, vol.31
, Issue.6
, pp. 631-649
-
-
Bouziane, D.1
Kandri Rody, A.2
Maârouf, H.3
-
16
-
-
0003368162
-
Gröbner bases and differential algebra
-
AAECC, Springer-Verlag Berlin
-
G. Carra Ferro. Gröbner bases and differential algebra. In AAECC, volume 356 of Lecture Notes in Computer Science. Springer-Verlag Berlin, 1987.
-
(1987)
Lecture Notes in Computer Science
, vol.356
-
-
Carra Ferro, G.1
-
17
-
-
0002203411
-
On term-orderings and rankings
-
Computational algebra (Fairfax, VA, 1993), number 151 Dekker, New York
-
G. Carrà Ferro and W. Y. Sit. On term-orderings and rankings. In Computational algebra (Fairfax, VA, 1993), number 151 in Lecture Notes in Pure and Applied Mathematics, pages 31-77. Dekker, New York, 1994.
-
(1994)
Lecture Notes in Pure and Applied Mathematics
, pp. 31-77
-
-
Carrà Ferro, G.1
Sit, W.Y.2
-
19
-
-
0042173311
-
Sur les équations différentielles du troisième ordre et d'ordre supérieur dont l'intégrale générale a ses points critiques fixes
-
J. Chazy. Sur les équations différentielles du troisième ordre et d'ordre supérieur dont l'intégrale générale a ses points critiques fixes. Acta Mathematica, 34:317-385, 1911.
-
(1911)
Acta Mathematica
, vol.34
, pp. 317-385
-
-
Chazy, J.1
-
20
-
-
35248893511
-
Odetools: A maple package for studying and solving ordinary differential equations
-
incoming update of
-
E. S. Cheb-Terrab. Odetools: A maple package for studying and solving ordinary differential equations. http://lie.uwaterloo.ca/description/odetools, 1998. presented for the incoming update of "Handbook of Computer Algebra".
-
(1998)
Handbook of Computer Algebra
-
-
Cheb-Terrab, E.S.1
-
21
-
-
0031140657
-
Computer algebra solving of first order ODEs using symmetry methods
-
E. S. Cheb-Terrab, L. G. S. Duarte, and L. A. C. P. da Mota. Computer algebra solving of first order ODEs using symmetry methods. Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry, 101(3):254-268, 1997.
-
(1997)
Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry
, vol.101
, Issue.3
, pp. 254-268
-
-
Cheb-Terrab, E.S.1
Duarte, L.G.S.2
Da Mota, L.A.C.P.3
-
22
-
-
0031698056
-
Computer algebra solving of second order ODEs using symmetry methods
-
E. S. Cheb-Terrab, L. G. S. Duarte, and L. A. C. P. da Mota. Computer algebra solving of second order ODEs using symmetry methods. Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry, 108(1):90-114, 1998.
-
(1998)
Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry
, vol.108
, Issue.1
, pp. 90-114
-
-
Cheb-Terrab, E.S.1
Duarte, L.G.S.2
Da Mota, L.A.C.P.3
-
23
-
-
27644459642
-
Automated reasonning in differential geometry and mechanics using the characteristic set method. Part II. Mechanical theorem proving
-
S-C. Chou and X-S. Gao. Automated reasonning in differential geometry and mechanics using the characteristic set method. part II. mechanical theorem proving. Journal of Automated Reasonning, 10:173-189, 1993.
-
(1993)
Journal of Automated Reasonning
, vol.10
, pp. 173-189
-
-
Chou, S.-C.1
Gao, X.-S.2
-
24
-
-
0005144466
-
The classical, direct, and non-classical methods for symmetry reductions of nonlinear partial differential equations
-
Dedicated to Martin David Kruskal
-
P. A. Clarkson, D. K. Ludlow, and T. J. Priestley. The classical, direct, and non-classical methods for symmetry reductions of nonlinear partial differential equations. Methods and Applications of Analysis, 4(2):173-195, 1997. Dedicated to Martin David Kruskal.
-
(1997)
Methods and Applications of Analysis
, vol.4
, Issue.2
, pp. 173-195
-
-
Clarkson, P.A.1
Ludlow, D.K.2
Priestley, T.J.3
-
25
-
-
43949149919
-
Symmetry reductions and exact solutions of a class of non-linear heat equations
-
P. A. Clarkson and E. L. Mansfield. Symmetry reductions and exact solutions of a class of non-linear heat equations. Physica, D70:250-288, 1994.
-
(1994)
Physica
, vol.D70
, pp. 250-288
-
-
Clarkson, P.A.1
Mansfield, E.L.2
-
27
-
-
38249014570
-
Differential-algebraic decision methods and some applications to system theory
-
S. Diop. Differential-algebraic decision methods and some applications to system theory. Theoretical Computer Science, 98(1):137-161, 1992.
-
(1992)
Theoretical Computer Science
, vol.98
, Issue.1
, pp. 137-161
-
-
Diop, S.1
-
29
-
-
0003527787
-
Commutative Algebra with a View toward Algebraic Geometry
-
Springer-Verlag New York
-
D. Eisenbud. Commutative Algebra with a View toward Algebraic Geometry. Graduate Texts in Mathematics. Springer-Verlag New York, 1994.
-
(1994)
Graduate Texts in Mathematics
-
-
Eisenbud, D.1
-
30
-
-
0000219870
-
An algebraic approach to linear and nonlinear control
-
H.L. Trentelman and J.C. Willems, editors, Birkhäuser, Boston
-
M. Fliess and S.T. Glad. An algebraic approach to linear and nonlinear control. In H.L. Trentelman and J.C. Willems, editors, Essays on control: Perspectives in the theory and its applications, volume 14 of PCST, pages 223-265. Birkhäuser, Boston, 1993.
-
(1993)
Essays on Control: Perspectives in the Theory and Its Applications, Volume 14 of PCST
, vol.14
, pp. 223-265
-
-
Fliess, M.1
Glad, S.T.2
-
31
-
-
1542268048
-
-
L. Guo, W. F. Keigher, P. J. Cassidy, and W. Y. Sit, editors. World Scientific Publishing Co.
-
L. Guo, W. F. Keigher, P. J. Cassidy, and W. Y. Sit, editors. Differential Algebra and Related Topics. World Scientific Publishing Co., 2002.
-
(2002)
Differential Algebra and Related Topics
-
-
-
33
-
-
0001743074
-
Essential components of an algebraic differential equation
-
E. Hubert. Essential components of an algebraic differential equation. Journal of Symbolic Computation, 28(4-5):657-680, 1999.
-
(1999)
Journal of Symbolic Computation
, vol.28
, Issue.4-5
, pp. 657-680
-
-
Hubert, E.1
-
34
-
-
0034178810
-
Factorisation free decomposition algorithms in differential algebra
-
E. Hubert. Factorisation free decomposition algorithms in differential algebra. Journal of Symbolic Computation, 29(4-5):641-662, 2000.
-
(2000)
Journal of Symbolic Computation
, vol.29
, Issue.4-5
, pp. 641-662
-
-
Hubert, E.1
-
38
-
-
38249006658
-
A generalized Euclidean algorithm for computing triangular representations of algebraic varieties
-
M. Kalkbrener. A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. Journal of Symbolic Computation, 15(2):143-167, 1993.
-
(1993)
Journal of Symbolic Computation
, vol.15
, Issue.2
, pp. 143-167
-
-
Kalkbrener, M.1
-
40
-
-
1542268047
-
-
Commentaries by Armand Borel, Michael F. Singer, Bruno Poizat, Alexandru Buium and Phyllis J. Cassidy, Edited and with a preface by Hyman Bass, Buium and Cassidy. American Mathematical Society, Providence, RI
-
E. Kolchin. Selected works of Ellis Kolchin with commentary. Commentaries by Armand Borel, Michael F. Singer, Bruno Poizat, Alexandru Buium and Phyllis J. Cassidy, Edited and with a preface by Hyman Bass, Buium and Cassidy. American Mathematical Society, Providence, RI, 1999.
-
(1999)
Selected Works of Ellis Kolchin with Commentary
-
-
Kolchin, E.1
-
41
-
-
0003263342
-
Differential Algebra and Algebraic Groups
-
Academic Press, New York-London
-
E. R. Kolchin. Differential Algebra and Algebraic Groups, volume 54 of Pure and Applied Mathematics. Academic Press, New York-London, 1973.
-
(1973)
Pure and Applied Mathematics
, vol.54
-
-
Kolchin, E.R.1
-
42
-
-
0000167385
-
Solving zero dimensional algebraic systems
-
D. Lazard. Solving zero dimensional algebraic systems. Journal of Symbolic Computation, 15:117-132, 1992.
-
(1992)
Journal of Symbolic Computation
, vol.15
, pp. 117-132
-
-
Lazard, D.1
-
44
-
-
34249756641
-
Mechanical theorem proving in the local theory of surfaces
-
Z. Li. Mechanical theorem proving in the local theory of surfaces. Annals of Mathematics and Artificial Intelligence, 13(1-2):25-46, 1995.
-
(1995)
Annals of Mathematics and Artificial Intelligence
, vol.13
, Issue.1-2
, pp. 25-46
-
-
Li, Z.1
-
45
-
-
0242648854
-
Coherent, regular and simple system in zero decompositions of partial differential systems
-
Z. Li and D. Wang. Coherent, regular and simple system in zero decompositions of partial differential systems. Systems Sciences and Mathematical Sciences, 12 suppl, 1999.
-
(1999)
Systems Sciences and Mathematical Sciences
, vol.12
, Issue.SUPPL.
-
-
Li, Z.1
Wang, D.2
-
50
-
-
0034759097
-
Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences
-
G. Margaria, E. Riccomagno, M. J. Chappell, and H. P. Wynn. Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences. Mathematical Biosciences, 174(1):1-26, 2001.
-
(2001)
Mathematical Biosciences
, vol.174
, Issue.1
, pp. 1-26
-
-
Margaria, G.1
Riccomagno, E.2
Chappell, M.J.3
Wynn, H.P.4
-
51
-
-
84955583152
-
Polynomial gcd computations over towers of algebraic extensions
-
Springer, Berlin
-
M. Moreno Maza and R. Rioboo. Polynomial gcd computations over towers of algebraic extensions. In Applied algebra, algebraic algorithms and error-correcting codes (Paris, 1995), pages 365-382. Springer, Berlin, 1995.
-
(1995)
Applied Algebra, Algebraic Algorithms and Error-correcting Codes (Paris, 1995)
, pp. 365-382
-
-
Moreno Maza, M.1
Rioboo, R.2
-
53
-
-
35248837565
-
Canonical bases: Relations with standard bases, finiteness conditions and application to tame automorphisms
-
Costiglioncello, editor, Birkhauser, August
-
F. Ollivier. Canonical bases : Relations with standard bases, finiteness conditions and application to tame automorphisms. In Costiglioncello, editor, MEGA'90. Birkhauser, August 1990.
-
(1990)
MEGA'90
-
-
Ollivier, F.1
-
54
-
-
0003686926
-
Applications of Lie Groups to Differential Equations
-
Number 107 Springer-Verlag, New York
-
P. Olver. Applications of Lie Groups to Differential Equations. Number 107 in Graduate texts in Mathematics. Springer-Verlag, New York, 1986.
-
(1986)
Graduate Texts in Mathematics
-
-
Olver, P.1
-
55
-
-
84972029082
-
Algorithms for reducing a system of pde to standard form, determining the dimension of its solution space and calculating its taylor series solution
-
G. J. Reid. Algorithms for reducing a system of pde to standard form, determining the dimension of its solution space and calculating its taylor series solution. European Journal Of Applied Mathematics, 2:293-318, 1991.
-
(1991)
European Journal of Applied Mathematics
, vol.2
, pp. 293-318
-
-
Reid, G.J.1
-
56
-
-
84971844577
-
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
-
G. J. Reid. Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. European Journal of Applied Mathematics, 2(4):319-340, 1991.
-
(1991)
European Journal of Applied Mathematics
, vol.2
, Issue.4
, pp. 319-340
-
-
Reid, G.J.1
-
57
-
-
0030364642
-
Reduction of systems of nonlinear partial differential equations to simplified involutive forms
-
G. J. Reid, A. D. Wittkopf, and A. Boulton. Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Eur. J. ofAppl. Math., 7:604 - 635, 1996.
-
(1996)
Eur. J. Of Appl. Math.
, vol.7
, pp. 604-635
-
-
Reid, G.J.1
Wittkopf, A.D.2
Boulton, A.3
-
59
-
-
0003247880
-
Differential Equations from the Algebraic Standpoint
-
J. F. Ritt. Differential Equations from the Algebraic Standpoint. Amer. Math. Soc. Colloq. Publ., 1932.
-
(1932)
Amer. Math. Soc. Colloq. Publ.
-
-
Ritt, J.F.1
-
60
-
-
0002159569
-
On the singular solutions of algebraic differential equations
-
J. F. Ritt. On the singular solutions of algebraic differential equations. Annals of Mathematics, 37(3):552-617, 1936.
-
(1936)
Annals of Mathematics
, vol.37
, Issue.3
, pp. 552-617
-
-
Ritt, J.F.1
-
61
-
-
0003360236
-
Differential Algebra
-
American Mathematical Society, Reprinted by Dover Publications, Inc
-
J. F. Ritt. Differential Algebra, volume XXXIII of Colloquium publications. American Mathematical Society, 1950. Reprinted by Dover Publications, Inc (1966).
-
(1950)
Colloquium Publications
, vol.33
-
-
Ritt, J.F.1
-
63
-
-
0030717962
-
Rankings of partial derivatives
-
New York, ACM
-
C. J. Rust and G. J. Reid. Rankings of partial derivatives. In Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI), pages 9-16, New York, 1997. ACM.
-
(1997)
Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI)
, vol.1997
, pp. 9-16
-
-
Rust, C.J.1
Reid, G.J.2
-
64
-
-
0003868037
-
Existence and uniqueness theorems for formal power series solutions of analytic differential systems
-
New York, ACM
-
C. J. Rust, G. J. Reid, and A. D. Wittkopf. Existence and uniqueness theorems for formal power series solutions of analytic differential systems. In Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (Vancouver, BC), pages 105-112, New York, 1999. ACM.
-
(1999)
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (Vancouver, BC)
, pp. 105-112
-
-
Rust, C.J.1
Reid, G.J.2
Wittkopf, A.D.3
-
66
-
-
0034772191
-
A probabilistic algorithm to test local algebraic observability in polynomial time
-
B. Mourrain, editor
-
A. Sedoglavic. A probabilistic algorithm to test local algebraic observability in polynomial time. In B. Mourrain, editor, Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (London, Canada, July 22-25 2001), pages 309-316, 2001.
-
(2001)
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (London, Canada, July 22-25 2001)
, pp. 309-316
-
-
Sedoglavic, A.1
-
68
-
-
0346789353
-
Computer algebra and differential equations - An overview
-
W. Seiler. Computer algebra and differential equations - an overview. mathPAD 7, 7:34-49, 1997.
-
(1997)
MathPAD 7
, vol.7
, pp. 34-49
-
-
Seiler, W.1
-
71
-
-
35248856122
-
HIDAES (Higher Index Differential Algebraic Equations Solver)
-
Technical report, LMC-IMAG
-
J. Visconti. HIDAES (Higher Index Differential Algebraic Equations Solver). Software and test set. Technical report, LMC-IMAG, http://www-lmc.imag.fr/CF/ LOGICIELS/page_dae.html, 1999.
-
(1999)
Software and Test Set
-
-
Visconti, J.1
-
73
-
-
0346794374
-
An elimination method for differential polynomial systems. I
-
D. Wang. An elimination method for differential polynomial systems. I. Systems Science and Mathematical Sciences, 9(3):216-228, 1996.
-
(1996)
Systems Science and Mathematical Sciences
, vol.9
, Issue.3
, pp. 216-228
-
-
Wang, D.1
-
74
-
-
1542297985
-
-
CECM - Simon Fraser University - Vancouver
-
A. Witkopf and G. Reid. The RIF package. CECM - Simon Fraser University - Vancouver, http://www.cecm.sfu.ca/wittkopf/rif.html.
-
The RIF Package
-
-
Witkopf, A.1
Reid, G.2
-
75
-
-
2342612062
-
Mechanical theorem proving of differential geometries and some of its applications in mechanics
-
W. T. Wu. Mechanical theorem proving of differential geometries and some of its applications in mechanics. Journal of Automated Reasoning, 7(2):171-191, 1991.
-
(1991)
Journal of Automated Reasoning
, vol.7
, Issue.2
, pp. 171-191
-
-
Wu, W.T.1
|