کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638430 | 1632005 | 2015 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved traditional Rosenbrock–Wanner methods for stiff ODEs and DAEs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Rosenbrock–Wanner methods usually have order reduction if they are applied to stiff ordinary differential or differential algebraic equations. Therefore, in several papers further order conditions are derived to reduce this effect. In Rang (2014) the example of Prothero and Robinson (1974) is analysed to find further order conditions. In this paper we consider traditional ROW methods such as ROS3P (Lang and Verwer, 2001), ROS3Pw (Rang and Angermann, 2005), ROS3PL (Lang and Teleaga, 2008), and RODASP (Steinebach, 1995) and improve these methods such that these further order conditions are satisfied. Numerical examples show the advantages of the new methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 286, 1 October 2015, Pages 128–144
Journal: Journal of Computational and Applied Mathematics - Volume 286, 1 October 2015, Pages 128–144
نویسندگان
Joachim Rang,