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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) |

1 | B. F. Caviness | [2] |

2 | Elie Compoint | [17] |

3 | Olivier Cormier | [19] [20] |

4 | James H. Davenport | [3] |

5 | Ruyong Feng | [24] |

6 | Dima Grigoriev | [5] [7] [13] [14] |

7 | P. A. Hendricks | [18] |

8 | Marek Karpinski | [5] [7] [13] |

9 | Ziming Li | [21] [22] |

10 | B. David Saunders | [2] |

11 | Barry M. Trager | [20] |

12 | Felix Ulmer | [9] [10] [11] [12] [15] [19] [20] |

13 | Min Wu | [21] [22] [24] |

14 | Andrew Chi-Chih Yao | [14] |

15 | Dabin Zheng | [21] [22] |