2011/03/07 by Marius‐F. Danca, Danca, Marius-F.
Computer Science · Mathematics · #Chaotic Dynamics (nlin.CD) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1103.1227
openalex publication_date 2011/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The objective of this paper is to prove the convergence of a linear implicit multi-step numerical method for ordinary differential equations. The algorithm is obtained via Taylor approximations. The convergence is proved following the Dahlquist theory. As an additional topic, the time stability is established too. Comparative tests between some of the most known numerical methods and this method are presented.