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Michael F. Singer Vis

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*2008
24EERuyong Feng, Michael F. Singer, Min Wu: Liouvillian Solutions of Difference-Differential Equations CoRR abs/0810.1574: (2008)
2007
23EEMichael F. Singer: Introduction to the Galois Theory of Linear Differential Equations CoRR abs/0712.4124: (2007)
2006
22EEZiming 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
21EEZiming 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
20EEOlivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer: Linear Differential Operators for Polynomial Equations. J. Symb. Comput. 34(5): 355-398 (2002)
2000
19EEOlivier 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
16EEMichael 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
12EEMichael 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
9EEMichael 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)

Coauthor Index

1B. F. Caviness [2]
2Elie Compoint [17]
3Olivier Cormier [19] [20]
4James H. Davenport [3]
5Ruyong Feng [24]
6Dima Grigoriev [5] [7] [13] [14]
7P. A. Hendricks [18]
8Marek Karpinski [5] [7] [13]
9Ziming Li [21] [22]
10B. David Saunders [2]
11Barry M. Trager [20]
12Felix Ulmer [9] [10] [11] [12] [15] [19] [20]
13Min Wu [21] [22] [24]
14Andrew Chi-Chih Yao [14]
15Dabin Zheng [21] [22]

Colors in the list of coauthors

Copyright © Tue Nov 3 08:52:44 2009 by Michael Ley (ley@uni-trier.de)