Numerical integration rules based on B-spline bases

التفاصيل البيبلوغرافية
العنوان: Numerical integration rules based on B-spline bases
المؤلفون: Yáñez, Dionisio F.
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis
الوصف: In this work, we present some new integration formulas for any order of accuracy as an application of the B-spline relations obtained in [1]. The resulting rules are defined as a perturbation of the trapezoidal integration method. We prove the order of approximation and extend the results to several dimensions. Finally, some numerical experiments are performed in order to check the theoretical results.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.11469
رقم الأكسشن: edsarx.2405.11469
قاعدة البيانات: arXiv