Name
Abstract | ||
|---|---|---|
Tropical Differential Algebraic Geometry considers difficult or even intractable problems in Differential Equations and tries to extract information on their solutions from a restricted structure of the input. The Fundamental Theorem of Tropical Differential Algebraic Geometry states that the support of solutions of systems of ordinary differential equations with formal power series coefficients over an uncountable algebraically closed field of characteristic zero can be obtained by solving a so-called tropicalized differential system. Tropicalized differential equations work on a completely different algebraic structure which may help in theoretical and computational questions. We show that the Fundamental Theorem can be extended to the case of systems of partial differential equations by introducing vertex sets of Newton polytopes.
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Year | DOI | Venue |
|---|---|---|
2020 | 10.1145/3373207.3404040 | ISSAC '20: International Symposium on Symbolic and Algebraic Computation
Kalamata
Greece
July, 2020 |
DocType | ISBN | Citations |
Conference | 978-1-4503-7100-1 | 0 |
PageRank | References | Authors |
0.34 | 0 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Falkensteiner Sebastian | 1 | 0 | 0.34 |
| Garay-López Cristhian | 2 | 0 | 0.34 |
| Haiech Mercedes | 3 | 0 | 0.34 |
| Noordman Marc Paul | 4 | 0 | 0.34 |
| Toghani Zeinab | 5 | 0 | 0.34 |
| Boulier François | 6 | 0 | 0.34 |