Selected Publications

Preprints

• Ruyong Feng, Michael Wibmer Differential Galois groups, specializations and Matzat's conjecture accepted by Memoirs Amer. Math. Soc. arXiv:2209.01581
• Ruyong Feng, Zewang Guo, Wei Lu Hilbert's Irreducibility Theorem for Linear Differential Operators arXiv:2403.13228 2024.

2024

• Shaoshi Chen, Ruyong Feng, Manuel Kauers, Xiuyun Li Parallel Summation in P-Recursive Extensions Proc.ISSAC2024 82--90, 2024 arXiv:2402.04684 2024. [PDF]
• Shaoshi Chen, Ruyong Feng, Zming Li, Michael F. Singer and Stephen M. Watt Telescopers for differential forms with one parameter Selecta Mathematica DOI: 10.1007/s00029-024-00926-6, 2024 arXiv:2101.06576 [PDF]

2023

• Shaoshi Chen, Ruyong Feng, Zewang Guo and Wei Lu Stability Problems on D-finite Functions Proc. ISSAC2023 164-172, 2023 [PDF] [bib]
• Ruyong Feng, Wei Lu Galois Groups of Linear Difference-Differential Equations Journal of Algebra 622,742-776, 2023 [PDF] [bib] arXiv:2211.01977

2022

• Ruyong Feng,Shuang Feng and Li-Yong Shen Quasi-equivalence of heights in algebraic function fields of one variable. Adv. in Appl. Math. Paper No. 102373, 139, 2022 [PDF] [bib]

2021

• Shaoshi Chen, Ruyong Feng,Pingchuan Ma and Michael F. Singer Separability Problems in Creative Telescoping. Proc.ISSAC2021 83–90, ACM New York Press,  2021. [PDF] [bib]
• Ruyong Feng Difference Galois groups under specialization. Trans.Amer.Math.Soc. 61–94, 374(1),  2021. [PDF] [bib]

2020

• Shuang Feng and Ruyong Feng Descent of ordinary differential equations with rational general solutions. J. Syst. Sci. Complex. 2114‐2123,  33(6), 2020. [PDF] [bib]

2018

• Ruyong Feng On the computation of the Galois groups of linear difference equations. Math. Comput. 941–965, 87(310), 2018. [PDF] [bib]

2016

• Ruyong Feng,Li-Yong Shen Computing the intersections of three conics according to their Jacobian curve. J. Symbolic Comput. 175–191, 73, 2016. [PDF] [bib]

2015

• Ruyong Feng Hrushovski's algorithm for computing the Galois group of a linear differential equation. Adv. in Appl. Math. 1–37, 65, 2015. [PDF] [bib]
• Shaoshi Chen, Frédéric Chyzak,Ruyong Feng, Guofeng Fu and Ziming Li On the existence of telescopers for mixed hypergeometric terms. J. Symbolic Comput. 1–26, 68(1), 2015. [PDF] [bib]

2014

• Shaoshi Chen, Ruyong Feng, Michael F. Singer, Ziming Li Parallel telescoping and parameterized Picard-Vessiot theory. Proc. ISSAC2014 99–106, ACM Press, 2014. [PDF] [bib]

2012

• Shaoshi Chen, Ruyong Feng, Guofeng Fu, Jin Kang Multiplicative decompositions of multivariate q-hypergeometric terms,(in Chinese) J. Systems Sci. Math. Sci. 1019–1032, 32(8), 2012. [PDF]
• Shangwei Zhao, Ruyong Feng, Xiao-Shan,Gao On functional decomposition of multivariate polynomials with differentiation and homogenization. J. Syst. Sci. Complex. 329–347, 25(2), 2012. [PDF] [bib]

2011

• Yinghong Li, Ruyong Feng Wronskian determinants over differential and difference fields,(in Chinese) J. Systems Sci. Math. Sci. 620–628, 31(5), 2011. [PDF] [bib]
• Shaoshi Chen, Ruyong Feng, Guofeng Fu and Ziming Li On the structure of compatible rational functions, Proc. ISSAC'11. 91–98, ACM, New York,  2011. [PDF] [bib]

2010

• Ruyong Feng, Michael Singer and Min Wu, Liouvillian solutions of difference-differential equations, Journal of Symbolic Computation, 45(3), 287–305, 2010. [PDF]   [bib]
• Ruyong Feng, Michael Singer and Min Wu, An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations, Journal of Symbolic Computation, 45(3), 306–323, 2010. [PDF]  [bib]

2008

• Ruyong Feng and Jianping Yu, Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant, Science in China Series A: Mathematics, 51(10), 1763–1774, 2008. [PDF]  [bib]
• Ruyong Feng, Xiao-Shan Gao and Zhenyu, Huang, Rational solutions of ordinary difference equations, Journal of Symbolic Computation, 43(10), 746–763, 2008. [PDF]  [bib]

2006

• Ruyong Feng and Xiao-Shan Gao, A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs, Journal of Symbolic Computation, 41(7), 739–762, 2006. [PDF]  [bib]

2005

• J.M. Aroca, J. Cano, R. Feng and X.S. Gao, Algebraic general solutions of algebraic ordinary differential equations, Proc. ISSAC'05, 29–36, ACM, New York, 2005. [PDF]  [bib]

2004

• Ruyong Feng and Xiao-Shan Gao, Rational general solutions of algebraic ordinary differential equations, Proc. ISSAC'04, 155–162, ACM, New York, 2004. [PDF]  [bib]

unpublished note

• Ruyong Feng and Ziming Li, A note on discriminants of univariate polynomials, MM-Preprints, 26, 126–127, KLMM, 2008. [PDF]