Formal solutions of completely integrable Pfaffian systems with normal crossings

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.
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https://hal.archives-ouvertes.fr/hal-01710138
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Submitted on : Thursday, February 15, 2018 - 4:12:07 PM
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Moulay A. Barkatou, Maximilian Jaroschek, Suzy Maddah. Formal solutions of completely integrable Pfaffian systems with normal crossings. Journal of Symbolic Computation, Elsevier, 2017, 81, pp.41 - 68. ⟨10.1016/j.jsc.2016.11.018⟩. ⟨hal-01710138⟩

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