Publications in Scientific Journals:
M. Jaroschek, M. Barkatou, S. Maddah:
"Formal solutions of completely integrable Pfaffian systems with normal crossings";
Journal of Symbolic Computation,
81
(2017),
41
- 68.
English abstract:
Abstract In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in several variables. This algorithm is a generalization of a method developed for the bivariate case based on a combination of several reduction techniques and is partially2 implemented in the computer algebra system Maple.
Keywords:
Linear systems of partial differential equations, Pfaffian systems, Formal solutions, Rank reduction, Hukuhara-Turrittin's normal form, Normal crossings
Created from the Publication Database of the Vienna University of Technology.