| 2008 |
|---|
| 24 | EE | Ruyong Feng,
Michael F. Singer,
Min Wu:
Liouvillian Solutions of Difference-Differential Equations
CoRR abs/0810.1574: (2008) |
| 2007 |
|---|
| 23 | EE | Michael F. Singer:
Introduction to the Galois Theory of Linear Differential Equations
CoRR abs/0712.4124: (2007) |
| 2006 |
|---|
| 22 | EE | Ziming Li,
Michael F. Singer,
Min Wu,
Dabin Zheng:
A recursive method for determining the one-dimensional submodules of Laurent-Ore modules.
ISSAC 2006: 220-227 |
| 21 | EE | Ziming Li,
Michael F. Singer,
Min Wu,
Dabin Zheng:
A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules
CoRR abs/cs/0604084: (2006) |
| 2002 |
|---|
| 20 | EE | Olivier Cormier,
Michael F. Singer,
Barry M. Trager,
Felix Ulmer:
Linear Differential Operators for Polynomial Equations.
J. Symb. Comput. 34(5): 355-398 (2002) |
| 2000 |
|---|
| 19 | EE | Olivier Cormier,
Michael F. Singer,
Felix Ulmer:
Computing the Galois group of a polynomial using linear differential equations.
ISSAC 2000: 78-85 |
| 1999 |
|---|
| 18 | | P. A. Hendricks,
Michael F. Singer:
Solving Difference Equations in Finite Terms.
J. Symb. Comput. 27(3): 239-259 (1999) |
| 17 | | Elie Compoint,
Michael F. Singer:
Computing Galois Groups of Completely Reducible Differential Equations.
J. Symb. Comput. 28(4-5): 473-494 (1999) |
| 1996 |
|---|
| 16 | EE | Michael F. Singer:
Testing Reducibility of Linear Differential Operators: A Group Theoretic Perspective.
Appl. Algebra Eng. Commun. Comput. 7(2): 77-104 (1996) |
| 1995 |
|---|
| 15 | | Michael F. Singer,
Felix Ulmer:
Necessary Conditions for Liouvillian Solutions of (Third Order) Linear Equations.
Appl. Algebra Eng. Commun. Comput. 6: 1-22 (1995) |
| 14 | | Dima Grigoriev,
Michael F. Singer,
Andrew Chi-Chih Yao:
On Computing Algebraic Functions Using Logarithms and Exponentials.
SIAM J. Comput. 24(2): 242-246 (1995) |
| 1994 |
|---|
| 13 | | Dima Grigoriev,
Marek Karpinski,
Michael F. Singer:
Computational Complexity of Sparse Rational Interpolation.
SIAM J. Comput. 23(1): 1-11 (1994) |
| 1993 |
|---|
| 12 | | Michael F. Singer,
Felix Ulmer:
On a Third Order Differential Equation whose Differential Galois Group is the Simple Group of 168 Elements.
AAECC 1993: 316-324 |
| 11 | | Michael F. Singer,
Felix Ulmer:
Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations.
J. Symb. Comput. 16(1): 37-73 (1993) |
| 10 | | Michael F. Singer,
Felix Ulmer:
Galois Groups of Second and Third Order Linear Differential Equations.
J. Symb. Comput. 16(1): 9-36 (1993) |
| 1992 |
|---|
| 9 | EE | Michael F. Singer,
Felix Ulmer:
Liouvillian Solutions of Third Order Linear Differential Equations: New Bounds and Necessary Conditions.
ISSAC 1992: 57-62 |
| 1991 |
|---|
| 8 | | Michael F. Singer:
Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients.
J. Symb. Comput. 11(3): 251-273 (1991) |
| 1990 |
|---|
| 7 | | Dima Grigoriev,
Marek Karpinski,
Michael F. Singer:
Interpolation of Sparse Rational Functions Without Knowing Bounds on Exponents
FOCS 1990: 840-846 |
| 6 | | Michael F. Singer:
Formal Solutions of Differential Equations.
J. Symb. Comput. 10(1): 59-94 (1990) |
| 5 | | Dima Grigoriev,
Marek Karpinski,
Michael F. Singer:
Fast Parallel Algorithms for Sparse Multivariate Polynomial Interpolation over Finite Fields.
SIAM J. Comput. 19(6): 1059-1063 (1990) |
| 1988 |
|---|
| 4 | | Michael F. Singer:
Liouvillian First Integrals of Differential Equations.
ISSAC 1988: 57-63 |
| 1985 |
|---|
| 3 | | Michael F. Singer,
James H. Davenport:
Elementary and Liouvillian Solutions of Linear Differential Equations.
European Conference on Computer Algebra (2) 1985: 595-596 |
| 2 | | Michael F. Singer,
B. David Saunders,
B. F. Caviness:
An Extension of Liouville's Theorem on Integration in Finite Terms.
SIAM J. Comput. 14(4): 966-990 (1985) |
| 1978 |
|---|
| 1 | | Michael F. Singer:
The Model Theory of Ordered Differential Fields.
J. Symb. Log. 43(1): 82-91 (1978) |
