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 | 17 | 2020 |
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 | 14 | 2022 |
Solving first order autonomous algebraic ordinary differential equations by places S Falkensteiner, JR Sendra Mathematics in Computer Science 14, 327-337, 2020 | 12 | 2020 |
Power series solutions of AODEs–existence, uniqueness, convergence and computation S Falkensteiner Ph. D. thesis, RISC Hagenberg, Johannes Kepler University Linz, 2020 | 7 | 2020 |
Formal Power Series Solutions of Algebraic Ordinary Differential Equations NT Vo, S Falkensteiner, Y Zhang arXiv preprint arXiv:1803.09646, 2018 | 7 | 2018 |
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 | 6 | 2023 |
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 | 5 | 2021 |
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 | 4 | 2023 |
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 | 3 | 2021 |
Tropical initial degeneration for systems of algebraic differential equations L Bossinger, S Falkensteiner, C Garay-López, MP Noordman arXiv preprint arXiv:2309.10761, 2023 | 2 | 2023 |
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 | 2 | 2021 |
The fundamental theorem of tropical differential algebra for formal Puiseux series S Falkensteiner, S Mereta arXiv preprint arXiv:2312.10036, 2023 | 1 | 2023 |
Infinite matroids in tropical differential algebra F Aroca, L Bossinger, S Falkensteiner, CG Lopez, LR Gonzalez-Ramirez, ... arXiv preprint arXiv:2305.04784, 2023 | 1 | 2023 |
Rationality and Parametrizations of Algebraic Curves under Specializations S Falkensteiner, R Sendra arXiv preprint arXiv:2301.04933, 2023 | 1 | 2023 |
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 |