Sebastian Falkensteiner, DI Dr.

Publications

	S. Falkensteiner, J.J. Mitteramskogler, R. Sendra, F. Winkler. The algebro-geometric method: Solving algebraic differential equations by parametrizations. Bulletin of the American Mathematical Society, pp. 1-41. 2023. ISSN 0273-0979. [bib]
	S. Falkensteiner, C. Garay-Lopez, M. Haiech, M. P. Noordman, F. Boulier, Z. Toghani. On Initials and the Fundamental Theorem of Tropical Partial Differential Geometry. Journal of Symbolic Computation 115, pp. 53-73. 2022. ISSN: 0747-7171. [url] [bib]
	S. Falkensteiner, Yi Zhang, N. Thieu Vo. On Formal Power Series Solutions of Algebraic Ordinary Differential Equations. Mediterranean Journal of Mathematics 19(74), pp. 1-16. March 2022. ISSN 1660-5446. [url] [bib]
	J. Cano, S. Falkensteiner, D. Robertz, R. Sendra. Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables. Journal of Symbolic Computation 114, pp. 1-17. 2022. ISSN 1095-855X. [url] [bib]
	S. Falkensteiner. Evaluation of a French National Research Agency (ANR) submission (AAPG 2022). 2022. French National Research Agency (ANR), Review [bib]
	S. Falkensteiner. Puiseux Series Solutions with Real or Rational Coefficients of First Order Autonomous AODEs. In: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, Amir Hashemi (ed.), Proceedings of International Symposium on Symbolic and Algebraic Computation (ISSAC), ISSAC '22 , pp. 63-71. 2022. Association for Computing Machinery, ISBN 9781450386883. [url] [bib]
	J. Cano, S. Falkensteiner, R. Sendra. Existence and convergence of Puiseux series solutions for first order autonomous differential equations. Journal of Symbolic Computation 108, pp. 137-151. 2021. ISSN 0747-7171. [url] [bib]
	S. Falkensteiner. Review report Maple Proceedings 2020. 2021. Review [bib]
	F. Boulier, J. Cano, S. Falkensteiner, R. Sendra. Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs - A MAPLE Package. In: Communications in Computer and Information Science, Rob Corless, Jürgen Gerhard and Ilias Kotsireas (ed.), Proceedings of Maple Conference 20201414, pp. 89-103. 2021. Springer, Cham, ISSN 1865-0929. [url] [bib]
	F. Boulier, S. Falkensteiner, M.P. Noordman, O.L. Sanchez. On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry. In: International Workshop on Computer Algebra in Scientific Computing, F. Boulier, M. England, T. Sadykov, E. Vorozhtsov (ed.), Proceedings of Computer Algebra in Scientific Computing, pp. 62-77. 2021. Springer, ISSN 0302-9743. [url] [bib]
	S. Falkensteiner. Power Series Solutions of AODEs - Existence, Uniqueness, Convergence and Computation. RISC Hagenberg, Johannes Kepler University Linz. PhD Thesis. June 2020. Also available as RISC report no. 20-13. [pdf] [bib]
	S. Falkensteiner. Power Series Solutions of AODEs - Existence, Uniqueness, Convergence and Computation. Technical report no. 20-13 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. June 2020. [pdf] [bib]
	J. Cano, S. Falkensteiner, R. Sendra. Algebraic, Rational and Puiseux Series Solutions of Systems of Autonomous Algebraic ODEs of Dimension One. Mathematics in Computer Science 15, pp. 189-198. 2020. ISSN 16618289. [url] [bib]
	S. Falkensteiner, C. Garay-Lopez, M. Haiech, M. P. Noordman, Z. Toghani, F. Boulier. The Fundamental Theorem of Tropical Partial Differential Algebraic Geometry. In: ISSAC '20: Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, Angelos Mantzaflaris (ed.), Proceedings of 45th International Symposium on Symbolic and Algebraic Computation (ISSAC), pp. 178-185. 07 2020. Association for Computing Machinery, ISBN 9781450371001. [bib]
	S. Falkensteiner. Referee report for Journal of Differential Equations. In: Regular submission, Journal of Differential Equations, 2020. Review [bib]
	S. Falkensteiner. Referee report for Journal of Symbolic Computation. In: Regular submission, 12 2020. Review [bib]
	S. Falkensteiner, R. Sendra. Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places. Mathematics in Computer Science 14, pp. 327-337. 12 2019. ISSN 1661-8289. [url] [bib]
	S. Falkensteiner. Referee Report for MEGA 2019. In: Special Issue for MEGA 2019, Journal of Symbolic Computation, 2019. Conference Talk and Proceedings, Review [bib]