Formal solutions of singularly-perturbed linear differential systems

Autor: Suzy S. Maddah, Moulay A. Barkatou

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2019, 94, pp.183-209. ⟨10.1016/j.jsc.2018.08.003⟩
Journal of Symbolic Computation, Elsevier, 2019, 94, pp.183-209. ⟨10.1016/j.jsc.2018.08.003⟩

International audience; In this article, we discuss formal invariants of singularly-perturbed linear differential systems inneighborhood of turning points and give algorithms which allow their computation. The algo-rithms proposed are implemented in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::971a851387bc91c343ff4ee18f6d1891
https://doi.org/10.1016/j.jsc.2018.08.003

Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients

Autor: Suzy S. Maddah, Moulay A. Barkatou

Publikováno v: Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation
ISSAC 2015-International Symposium on Symbolic and Algebraic Computation
ISSAC 2015-International Symposium on Symbolic and Algebraic Computation, Jul 2015, Bath, United Kingdom. pp.53-60, ⟨10.1145/2755996.2756668⟩
ISSAC

International audience; In this paper we present a new algorithm which, given a system of first order linear differential equations with rational function coefficients, constructs an equivalent system with rational function coefficients, whose finite

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ddbcae68abde51258b7e29c0b3d0b9d
https://hal.archives-ouvertes.fr/hal-01306230

Formal Solutions of a Class of Pfaffian Systems in Two Variables

Autor: Moulay A. Barkatou, Suzy S. Maddah, Hassan Abbas

Publikováno v: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation
ISSAC 2014
ISSAC 2014, Jul 2014, Kobe, Japan. pp.312-319, ⟨10.1145/2608628.2608656⟩
ISSAC

In this paper, we present an algorithm which computes a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in two variables, based on (Barkatou, 1997). A first step was set in (Barkatou-LeRoux, 2006

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6098c276ff4e091e847ab79971371bf9
http://arxiv.org/abs/1401.5439

On the formal reduction of singularly-perturbed linear differential systems

Autor: Suzy S. Maddah

Publikováno v: ACM Communications in Computer Algebra. 49:31-31

We consider the singularly-perturbed linear dierential system of the form dY dx = A(x; )Y = h x p 1 X k=0 Ak(x) k Y: (1)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8ddc744f12824fc9b188750c48e80b1
https://doi.org/10.1145/2768577.2768638

Mathematical Software – ICMS 2016 : 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings

Autor: Gert-Martin Greuel, Thorsten Koch, Peter Paule, Andrew Sommese

This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions