Follow
Sebastian Falkensteiner
Sebastian Falkensteiner
previously: Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
No verified email - Homepage
Title
Cited by
Cited by
Year
The fundamental theorem of tropical partial differential algebraic geometry
S Falkensteiner, C Garay-López, M Haiech, MP Noordman, Z Toghani, ...
Proceedings of the 45th International Symposium on Symbolic and Algebraic …, 2020
172020
Existence and convergence of Puiseux series solutions for autonomous first order differential equations
J Cano, S Falkensteiner, JR Sendra
Journal of Symbolic Computation 108, 137-151, 2022
142022
Solving first order autonomous algebraic ordinary differential equations by places
S Falkensteiner, JR Sendra
Mathematics in Computer Science 14, 327-337, 2020
122020
Power series solutions of AODEs–existence, uniqueness, convergence and computation
S Falkensteiner
Ph. D. thesis, RISC Hagenberg, Johannes Kepler University Linz, 2020
72020
Formal Power Series Solutions of Algebraic Ordinary Differential Equations
NT Vo, S Falkensteiner, Y Zhang
arXiv preprint arXiv:1803.09646, 2018
72018
On initials and the fundamental theorem of tropical partial differential algebraic geometry
S Falkensteiner, C Garay-López, M Haiech, MP Noordman, F Boulier, ...
Journal of Symbolic Computation 115, 53-73, 2023
62023
On Formal Power Series Solutions of Algebraic Ordinary Differential Equations
S Falkensteiner, Y Zhang, NT Vo
Mediterranean Journal of Mathematics, 16, 2022
5*2022
Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one
J Cano, S Falkensteiner, JR Sendra
Mathematics in Computer Science 15, 189-198, 2021
52021
The algebro-geometric method: Solving algebraic differential equations by parametrizations
S Falkensteiner, J Mitteramskogler, J Sendra, F Winkler
Bulletin of the American Mathematical Society 60 (1), 85-122, 2023
42023
On the relationship between differential algebra and tropical differential algebraic geometry
F Boulier, S Falkensteiner, MP Noordman, OL Sanchez
Computer Algebra in Scientific Computing: 23rd International Workshop, CASC …, 2021
32021
Tropical initial degeneration for systems of algebraic differential equations
L Bossinger, S Falkensteiner, C Garay-López, MP Noordman
arXiv preprint arXiv:2309.10761, 2023
22023
Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs–A MAPLE Package
F Boulier, J Cano, S Falkensteiner, JR Sendra
Maple in Mathematics Education and Research: 4th Maple Conference, MC 2020 …, 2021
22021
The fundamental theorem of tropical differential algebra for formal Puiseux series
S Falkensteiner, S Mereta
arXiv preprint arXiv:2312.10036, 2023
12023
Infinite matroids in tropical differential algebra
F Aroca, L Bossinger, S Falkensteiner, CG Lopez, LR Gonzalez-Ramirez, ...
arXiv preprint arXiv:2305.04784, 2023
12023
Rationality and Parametrizations of Algebraic Curves under Specializations
S Falkensteiner, R Sendra
arXiv preprint arXiv:2301.04933, 2023
12023
Transforming Radical Differential Equations to Algebraic Differential Equations
S Falkensteiner, JR Sendra
Mediterranean Journal of Mathematics 21 (3), 87, 2024
2024
Algorithm for globally identifiable reparametrizions of ODEs
S Falkensteiner, A Ovchinnikov, JR Sendra
arXiv preprint arXiv:2401.00762, 2024
2024
Rational Solutions of Parametric First-Order Algebraic Differential Equations
S Falkensteiner, R Sendra
arXiv preprint arXiv:2307.05102, 2023
2023
On real and observable realizations of input-output equations
S Falkensteiner, D Pavlov, R Sendra
arXiv preprint arXiv:2303.16799, 2023
2023
Sur les Initiaux et le Théorème Fondamental de la Géométrie Différentielle Tropicale Partielle
S Falkensteiner, CE Garay-Lopez, M Haiech, MP Noordman, F Boulier, ...
Elsevier, 2023
2023
The system can't perform the operation now. Try again later.
Articles 1–20