Articles Related to the Algorithms Used in the Slode Package
Description
This page presents a list of articles that describe the algorithms used in the implementation of Maple's Slode package.
Abramov, S. "m-Sparse Solutions of Linear Ordinary Differential Equations with Polynomial Coefficients." Discrete Math., Vol. 217, pp. 3-15. 2000.
Abramov, S. "Power Series Solutions with `Eventually Nice' Coefficients of Linear Ordinary Differential Equations." Proceedings of FPSAC '98, pp. 3-12. 1998.
Abramov, S. "Solutions of Linear Differential Equations in the Class of Sparse Power Series." Proceedings of FPSAC'97, pp. 1-10. 1997.
Abramov, S.; Bronstein, M.; and Petkovsek, M. "On Polynomial Solutions of Linear Operator Equations." Proceedings of ISSAC '95, pp. 290-296. 1995.
Abramov, S.; and Petkovsek, M. "Special Power Series Solutions Of Linear Differential Equations." Proceedings of FPSAC'96, pp. 1-8. 1996.
Abramov, S.; Petkovsek, M.; and Ryabenko, A. "Special Power Series Solutions of Linear Operator Equations." Discrete Math., Vol. 210, pp. 3-25. 2000.
Abramov S.; and Ryabenko, A. "Sparse Power Series and Parameterized Linear Operators." Programming and Computer Software, Vol. 30, pp. 83-87. 2004.
Petkovsek, M.; and Salvy, B. "Finding All Hypergeometric Solutions of Linear Differential Equations." Proceedings of ISSAC '93, pp. 27-33. 1993.
Ryabenko, A. "Formal Solutions of Linear Ordinary Differential Equations Containing m-Hypergeometric Series." Programming and Computer Software, Vol. 28, pp. 92-101. 2002.
Ryabenko, A. " Symbolic Solution of Nonhomogeneous Linear Ordinary Differential Equations in Terms of Power Series." Programming and Computer Software, Vol. 32, pp. 120-122. 2006.
See Also
Slode
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