A note about high-order semi-implicit differentiation: application to a numerical integration scheme with Taylor-based compensated error

التفاصيل البيبلوغرافية
العنوان: A note about high-order semi-implicit differentiation: application to a numerical integration scheme with Taylor-based compensated error
المؤلفون: Michel, Loïc, Barbot, Jean-Pierre
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Electrical Engineering and Systems Science - Systems and Control
الوصف: In this brief, we discuss the implementation of a third order semi-implicit differentiator as a complement of the recent work by the author that proposes an interconnected semi-implicit Euler double differentiators algorithm through Taylor expansion refinement. The proposed algorithm is dual to the interconnected approach since it offers alternative flexibility to be tuned and to be implemented in real-time processes. In particular, an application to a numerical integration scheme is presented as the Taylor refinement can be of interest to improve the global convergence. Numerical results are presented to support the rightness of the proposed method.
Comment: 11 pages, 7 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.00497
رقم الأكسشن: edsarx.2408.00497
قاعدة البيانات: arXiv