Formal solutions of completely integrable Pfaffian systems with normal crossings. (July 2017)

• Record Type: Journal Article
• Authors: Barkatou, Moulay A.; Jaroschek, Maximilian; Maddah, Suzy S.
• Is Part Of: Journal of symbolic computation. Volume 81(2017)
• Page Start: 41
• Page End: 68
• Publication Date: 2017-07
• Subjects: Linear systems of partial differential equations -- Pfaffian systems -- Formal solutions -- Rank reduction -- Hukuhara–Turrittin's normal form -- Normal crossings; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.11.018
• Languages: English
• ISSNs: 0747-7171

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 partially 2 implemented in the computer algebra systemMaple .