Algebraic and Geometric Analysis of Singularities of Implicit Differential Equations

Co-author(s): Matthias Seiß

Reference: Computer Algebra in Scientific Computing - CASC 2020, F. Boulier, M. England, T. Sadykov, E.V. Vorozhtsov (eds.), Springer-Verlag, Cham 2020, Lecture Notes in Computer Science 12291, pp. 14-41 (invited contribution)

Description: We review some of our results on singularities presented in [85, 88, 47, 45, 44] . Our combined algebraic-geometric framework for defining and detecting singularities is explained. Then we study the local solution behaviour around geometric and algebraic singularities.

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