التفاصيل البيبلوغرافية
| العنوان: |
A MATLAB implementation of TASE-RK methods |
| المؤلفون: |
Conte, Dajana, Pagano, Giovanni, Paternoster, Beatrice |
| المصدر: |
Journal of Approximation Software; Vol. 1 No. 1 (2024) ; Journal of Approximation Software; V. 1 N. 1 (2024) |
| بيانات النشر: |
University of Turin |
| سنة النشر: |
2024 |
| المجموعة: |
Università degli studi di Torino: SIRIO@unito.it - SIstema RIviste Open access |
| مصطلحات موضوعية: |
RK methods, TASE preconditioners, TASE-RK methods, MATLAB code, stiff problems |
| الوصف: |
In this paper, we analyze theoretical and implementation aspects of Time-Accurate and highly-Stable Explicit Runge-Kutta (TASE-RK) methods, which have been recently introduced by Bassenne et al. (2021) [5], for the numerical solution of stiff Initial Value Problems (IVPs). These methods are obtained by combining explicit RK schemes with suitable matrix operators, called TASE operators, involving in their expression a matrix J related to the Jacobian of the differential problem to be solved. By analyzing the formulation and order conditions of TASE-RK methods, we show that they can be interpreted as particular linearly implicit RK schemes, and that their consistency properties are independent of the choice of J. Using this information, we propose a MATLAB implementation of TASE-RK methods, which makes use of matrix factorizations and allows setting J according to user preferences. |
| نوع الوثيقة: |
article in journal/newspaper |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
https://ojs.unito.it/index.php/JAS/article/view/10816/8889; https://ojs.unito.it/index.php/JAS/article/view/10816 |
| الاتاحة: |
https://ojs.unito.it/index.php/JAS/article/view/10816 |
| Rights: |
Copyright (c) 2024 Dajana Conte, Giovanni Pagano, Beatrice Paternoster |
| رقم الانضمام: |
edsbas.C50BDCD2 |
| قاعدة البيانات: |
BASE |