Formal solutions of singularly-perturbed linear differential systems. (September 2019)

• Record Type: Journal Article
• Authors: Barkatou, Moulay A.; Maddah, Suzy S.
• Is Part Of: Journal of symbolic computation. Volume 94(2019)
• Page Start: 183
• Page End: 209
• Publication Date: 2019-09
• Subjects: Singularly-perturbed linear differential systems -- Turning points -- Rank reduction -- Singularities -- Exponential part -- Formal solutions -- Computer algebra; 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.2018.08.003
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this article, we discuss formal invariants of singularly-perturbed linear differential systems in neighborhood of turning points and give algorithms which allow their computation. The algorithms proposed are implemented in the computer algebra systemMaple .