ALM99
|
Philippe Aubry, Daniel Lazard, Marc Moreno Maza. On the theories of triangular sets. Journal of Symbolic Computation. 1999
|
BKM01
|
Driss Bouziane, Abdelillah Kandri Rody, Hamid Maarouf. Unmixed-Dimensional Decomposition of a Finitely Generated Perfect Differential Ideal. Journal of Symbolic Computation. 2001
|
B09
|
Francois Boulier. The BLAD libraries.
|
BLOP95
|
Francois Boulier, Daniel Lazard, Francois Ollivier, Michel Petitot. Representation for the radical of a finitely generated differential ideal. ISSAC. 1995
|
BLOP09
|
Francois Boulier, Daniel Lazard, Francois Ollivier, Michel Petitot. Computing representations for radicals of finitely generated differential ideals. Journal of AAECC. 2009
|
BLLM07
|
Francois Boulier, Marc Lefranc, Francois Lemaire, Pierre-Emmanuel Morant. Model Reduction of Chemical Reaction Systems using Elimination. MACIS. 2007
|
BL00
|
Francois Boulier, Francois Lemaire. Computing canonical representatives of regular differential ideals. ISSAC. 2000
|
BLM06
|
Francois Boulier, Francois Lemaire, Marc Moreno Maza. Well known theorems on triangular systems and the D5 principle. TC. 2006
|
BLM10
|
Francois Boulier, Francois Lemaire, Marc Moreno Maza. Computing differential characteristic sets by change of ordering. Journal of Symbolic Computation. To appear in 2010.
|
BC99
|
Alexandru Buium, Phyllis Cassidy. Differential Algebraic Geometry and Differential Algebraic Groups: From Algebraic Differential Equations To Diophantine Geometry. American Mathematical Society. 1999.
|
DL84
|
Jan Denef, Leonard Lipshitz. Power Series Solutions of Algebraic Differential Equations. Mathematische Annalen. 1984
|
GKO09
|
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov. Algebraic transformation of differential characteristic decompositions from one ranking to another. Journal of Symbolic Computation. 2009
|
BMO91
|
Giovanni Gallo, Bubaneshwar Mishra, Francois Ollivier. Some constructions in rings of differential polynomials. AAECC. 1991
|
H99
|
Evelyne Hubert. Essential Components of an Algebraic Differential Equation. Journal of Symbolic Computation. 1999.
|
H00
|
Evelyne Hubert. Factorization free decomposition algorithms in differential algebra. Journal of Symbolic Computation. 2000
|
HW96
|
Ernst Hairer, Gerhard Wanner. Solving ordinary differential equations II. Stiff and Differential-Algebraic Problems. Springer-Verlag. 1996
|
K73
|
Ellis Robert Kolchin. Differential Algebra and Algebraic groups. Academic Press. 1973
|
LW99
|
Ziming Li, Dongming Wang. Coherent, regular and simple systems in zero decompositions of partial differential systems. Systems Science and Mathematical Sciences. 1999
|
M91
|
Elizabeth L. Mansfield. Differential Groebner Bases. PhD thesis. 1991
|
MMM00
|
Marc Moreno Maza. On Triangular Decompositions of Algebraic Varieties. MEGA. 2000.
|
M99
|
Sally Morrison. The Differential Ideal [P]:M. Journal of Symbolic Computation. 1999
|
RWB96
|
Gregory J. Reid, Allan D. Wittkopf, Alan Boulton. Reduction of systems of nonlinear partial differential equations to simplified involutive forms European Journal of Applied Math. 1996
|
RLW01
|
Gregory J. Reid, Ping Lin, Allan D. Wittkopf. Differential Elimination-Completion Algorithms for DAE and PDAE. Studies in Applied Mathematics. 2001
|
R50
|
Joseph Fels Ritt. Differential Algebra. Dover Publications Inc. 1950
|
R59
|
Azriel Rosenfeld. Specializations in differential algebra. TAMS. 1959
|
S56
|
Abraham Seidenberg. An elimination theory for differential algebra. Univ. California Publ. Math. (New Series). 1956
|
S02
|
William Sit, The Ritt-Kolchin theory for differential polynomials. DART. 2002
|
Wu89
|
Wenjun Wu. On the foundation of algebraic differential geometry. Mechanization of Mathematics. 1989
|
W98
|
Dongming Wang. Decomposing polynomial systems into simple systems. Journal of Symbolic Computation. 1998
|
W03
|
Dongming Wang. Elimination Practice: Software Tools and Applications. Imperial College Press. 2003
|